STATE CONTROLLER DESIGN OF THE ACTIVELY CONTROLLED DRIVER S SEAT
|
|
- Aldous Bridges
- 5 years ago
- Views:
Transcription
1 STATE CONTROLLER DESIGN OF THE ACTIELY CONTROLLED DRIER S SEAT Libor K Smmry: In e er e inrocion sies o e se conroller esign o cive vibrion isolion sysem o e river se re resene. Te river se i e ir sring s e cor is escribe s nonliner lme sysem i rnsorion ely. Te lineriion o is nonliner ynmic sysem is se or iscree liner se sce conroller esign. Te bevior o is conroller i liner coninos esimor o nonliner sysem s been veriie in e lborory. Key ors: river s se cive vibrion isolion se conroller esimor. INTRODUCTION in conribion o e cive vibrion isolion sysem lso escribe in n is ecresing o vibrions rnsmissibiliy or lo reqencies n lso remining e lo rnsmissibiliy or ig reqencies. In esigne sysem is no se mer. Conrry o e commonly escribe sysems 6 7 n 8 in e esigne sysem is se e elecroniclly conrolle servo-vlve ic ees e ir ino e bellos ir sring or iscrges e ir rom e sring ino e mosere. We resen e nonliner memicl moel i concenre rmeers o e river s se i n ir sring. Te lineriion o is moel is min ie o se sce liner conroller esign. Te cive vibrion isolion is bse on eebc rincile.. ATHEATICAL ODEL. Nonliner moel o e river's se Simle mecnicl sceme o e consiere river s se is son in ig.. Hyrlic mer is no se. r Fig. Sceme o vibrion isolion sysem i scissor mecnism Ing. Libor K P.D. Universiy o Prbice Fcly o Elecricl Engineering n Inormics Dermen o Process Conrol náměsí Čs. legií 6 Prbice Tel.: F: E-mil: libor.@ce.c K: Se Conroller Design o e Acively Conrolle Driver s Se 69
2 K: Se Conroller Design o e Acively Conrolle Driver s Se 7 We inroce olloing bsic noion see ig. : bsole elecion o loer bse inemic eciion bsole elecion o er bse relive elecion r n rece mss o er bse i rece r o mn boy. Eqion o ynmic orces eqilibrim on e sysem is g S e ere is river rece mss e bsole ressre insie e sring e bsole mosere ressre g e grviy ccelerion consn e coeicien o viscos ricion S e = e eecive re o e ir sring n e ncion o isnce. Air mss lo Q m illing e ir sring ] [ v m Q ere is e volge in o elecro-mgneic vlve conroller o is rnsor ely n e bsole ressre insie e ccmlor. Air mss lo leving e ir sring ino e mosere ] [ v m Q. v n v re eerimenlly eermine lo coeiciens. Te ime erivive o ressre insie e ir sring m Q m ere is n ibic ir consn m e ir mss insie e sring is e sring s insie volme n re e ncions o isnce We cn lso rie m Q m. I is ossible o se insie e conroller e ncion ic mes lineriion o nonliner ir mss lo. In e ig. re e se vribles renme. Wi renme vribles e eqions re 6. 6b Ne eqion rises rom ig.. 6c
3 K: Se Conroller Design o e Acively Conrolle Driver s Se 7 Fig. Nonliner simlion moel Eqion i renme vribles is g ] [. 6 Ls eqion o nonliner moel is. 6e In eqions 6 re i i = se vribles is conroller o is isrbnce = /. Te iscsse ive eqions re nonliner se eqions o e sysem. Te vecor orm o em is. 7. Lineriion Te se eqions 7 cn be linerie bo e oering oin. Te lineriion o i- se eqion is s i r i i i. 8 Le e esigne n. Te linerie se eqions re B A 9 n e linerie se eqions o nonliner eqions 6 re b
4 K: Se Conroller Design o e Acively Conrolle Driver s Se 7 c ] [. e ere n. Te linerie se sce eqions in eqilibrim se = = ere se or liner se sce conroller esign. Te moiicion o is conroller s se or conrol o lborory river se.. STATE CONTROLLER Generl sceme o e conrol is son on ig. n ig.. I ses signls rom cceleromeers 6 7 islcemen sensor 8 n ressre sensor 9 s ins. Conrol comer conrols e osiion o e elecro-nemic vlve ic governs in res. olo rom e ir sring. Use o ny ming evice is roibie s i ol imir rnsmissibiliy iger reqencies. in roblem lies in e se o ir or oring meim becse o is comressibiliy. Fig. Generl rrngemen o e cively conrolle se
5 Generl s on e se rnsmissibiliy cn be ereore ose. I emns cievemen o mlie rnsmissibiliy ner or some less o one reqencies o ro. H n les sme or beer n o nme ssive -DOF reqencies over ro. H. Tis cn be cieve i cive conrol o e se ssension only. Fig. Bsic sceme o e conrol Deile sceme o e srcre o e conroller se in e cively conrolle se is son on ig.. Te conroller is imlemene by eige sm o e vles v re n ime inegrl o e ierence r rw rw is e reqire isnce seoin vle rom e se bse. Qniies n R re mesre irecly on e se. Se bse see v is clcle rom e mesre vles ic is irs ilere ig-reqency iler i rnsmission G s n en is inegre in ime. le re is come by e relive moion esimor. e n e re esimor coeiciens G e s n G e s re rnsmissions o ig-reqency ilers. Fig. Deile sceme o e se conroller imlemenion K: Se Conroller Design o e Acively Conrolle Driver s Se 7
6 Te se eebc conrol l cn be rien s r rw re [ ] v ere i or i = re se conroller coeiciens is conroller o. Te resling volge genere by e conroller is clcle U r = r + U ere r is e cion vrible o e nonliner conroller n U =.9 is e volge ic e grnee ero ir lo rog e vlve. Te resling conrol vlve volge U U v r. r Fig. 6 Bil-in nonliner comension ncion Fig. 7 Anoer imlemenion o e se conroller K: Se Conroller Design o e Acively Conrolle Driver s Se 7
7 Te comension ncion see igs. n is reerre o ig. 6. I s esigne by nmericl oimiion sing ynmic rogrmming meos iscree version o e Bellmn rincile o oimliy. Te bil-in comension ncion is comose o secions o e secon egree olynomils bonry beeen mre oins resecively irs egree olynomils osie e bonry oins. Te noer conroller see ig. 7 is imlemene by eige sm o e vles v re v re n ime inegrl o e ierence r rw. Ts e se eebc conrol l cn be rien s [ ] 6 r re 7 rw v re ere i or i = 7 re se conroller coeiciens. Conroller cion vrible r is nonliner ncion v r n Becse U r = r + U e resling conrol vlve volge U U. 6 v r Fig. 8 Simlion moel incling ln nonliner conroller n esimor K: Se Conroller Design o e Acively Conrolle Driver s Se 7
8 Simlion moel o e river s se i nonliner conroller ic incles cin o inegrors i ig-reqency ilers o clcle e velociy n osiion o e se bse n incles e bove escribe esimor o relive qniies is son on ig. 8. Te simlion moel s cree in ATLAB Simlin. Asble se conroller coeiciens ere on by nmericl simlion on e memicl moel see cer n ig. 7. Conroller rmeers ve been oimie sing e simlion moel in igre 8.. LABORATORY RESULTS Te resls o lborory veriicion i isrbnces mesre on rc TATRA 8 ring e rive on o-ro rc re in ig.. For comrison re in ig. resene e mesremens i insry roce river se i ssive vibrion isolion sysem. Te se isrbnces re in bo igres e sme. Fig. 9 Acively conrolle se i -DOF mmy on elecro-yrlic es rig 6 [cm] - [s] Fig. Lborory mesremen i cively conrolle se K: Se Conroller Design o e Acively Conrolle Driver s Se 76
9 6 [cm] - [s] Fig. Lborory mesremen i insry roce river se c Tr Forier secrm.8.6 PF PF P F F [ /H ] P [m/s /H] [H] Fig. PSD o e cively conrolle se bse ccelerion n se csion ccelerion.. ccelerion mlie rnsmissibiliy Tr Tr. P /P / [H] Fig. Accelerion mlie rnsmissibiliy o e cively conrolle se K: Se Conroller Design o e Acively Conrolle Driver s Se 77
10 Ses ere loe by simle eigs or by -DOF mmy. Tes resls ere oever or simle eigs n mmies very similr n eir minor ierences re no iscsse ere. Folloing resls ere gine i e mmy see ig. 9. P is e oer secrl ensiy PSD o e se bse ccelerion n P is e PSD o e se csion ccelerion. CONSLUSIONS Eerience gine ring e lborory esing les o e oimisic conclsion relively big cnges in se rnsmissibiliy cn be cieve by sible se ssension conrol even on ir-srng ses. Te ieren enly ncions or conroller esign n srcres o e esimors ic re e rs o se sce conroller re ese resen. Te lineriion o sysem se sce eqions ill be se or nonliner se sce conroller esign in re. Becse o e leibiliy o e conrol sysem rnsmissibiliy o e cively ssene se cn be ne o e cl emns o is ssengers i ese emns ill be non. ACKNOWLEDGENT Te or s been sore by e ns No. SGFEI/ o e Universiy o Prbice Cec Reblic. Tis sor is very grelly cnolege. REFERENCES APETAUR.; BUCHTA J.; JANEČEK B.; KUPKA L.; ŠKLÍBA J. Acively Conrolle Air-ssene Driver s Se From Lborory o Tr Proving Gron. Perner s Concs olme No. I ISSN: 8-67X. BARBORA J.; BUCHTA J.; JANEČEK B.; LUFINKA A.; AREK.; ŠKLÍBA J.; APETAUR.; KUPKA L. Reserc o Acively Conrolle Air-ssene Se or eicles. JE Jornl o ibroengineering 9 9 olme Isse Pblicion 76. ISSN KUPKA L.; JANEČEK B.; ŠKLÍBA J. Lborory eriicion o e Acive ibrion Isolion o e Driver Se. Recen Avnces in ecronics. Berlin Heielberg Ne Yor: Sringer 7. 7 ISBN ISRINGHAUSEN GmbH & Co. KG. Sisyseme Pro Inomeril. [Online.] Lemgo Germny. [ci. my.] Avilble URL: ://.isri.e/en/ses.ml. GRAER AG: Driver Ses or Trcs Agriclrl cines Consrcion cines n For Lis. [Online.] Amberg Germny. [ci. my.] Avilble URL: ://.grmmer.com/en/rocs-mres/seing-sysems.ml. 6 SEARS ANUFACTURING COPANY. Acive Ssension Sysem. [Online.] Dvenor USA. [ci. my.] Avilble URL: ://.sersseing.com/ecnology/innovions/. K: Se Conroller Design o e Acively Conrolle Driver s Se 78
11 7 P. USA 9/6789 PCT/US99/. ANDEROLEN G. L. Inegre Semi-cive Se Ssension n Se Loc Sysem. Wsingon: Unie Ses Pen n Tremr Oice P. Kn WO / PCT/CA/. PAILARD B.; AZOYER J.; ASSON P.; BELLY A.; ALBERT A. Ssension e siege cive. Qebec Kn: Orgniion onile e l Proriéé Inellecelle KUPKA L. Nelineární moel vibroiolčnío osvce sel řiiče s nůžovým voicím mecnismem eo linerice. Perner s Concs olme 6 No. I. 88. ISSN: 8-67X. KUPKA L. Acive ibrion Isolion Sysem o Driver Se. [Disserion esis.] Liberec 8. Tecnicl Universiy o Liberec. Fcly o ecronics Inormics n Ineriscilinry Sies. K: Se Conroller Design o e Acively Conrolle Driver s Se 79
NONLINEAR MODEL OF THE VEHICLE HYDROPNEUMATIC SUSPENSION UNIT
Nuber, olue II, Deceber NONLINEAR MODEL OF THE EHICLE HYDROPNEUMATIC UPENION UNIT Libor Kuk ury: The lue reers oel of he hyroneuic susension uni n is verificion is escribe in he er. The relions effecive
More information15/03/1439. Lecture 4: Linear Time Invariant (LTI) systems
Lecre 4: Liner Time Invrin LTI sysems 2. Liner sysems, Convolion 3 lecres: Implse response, inp signls s coninm of implses. Convolion, discree-ime nd coninos-ime. LTI sysems nd convolion Specific objecives
More informationON THE PROBLEM OF HEIGHT ADJUSTMENT OF THE ACTIVELY CONTROLLED DRIVER S SEAT VIBRATION ISOLATION STAND
Number 5, Volume VI, December 0 ON THE POBLEM OF HEIGHT ADJUSTMENT OF THE ACTIVELY CONTOLLED DIVE S SEAT VIBATION ISOLATION STAND Libor Kupka Summary: Every driver s seat vibration isolation stand is supplied
More informationGeneralization of Euler-Lagrange Equations to Find Min-max Optimal Solution of Uncertain Systems
Generlizion o Eler-Lrne Eqions o Fin Min-m Oiml Solion o Uncerin Ssems Fri Seikoleslm R Doososeni Dermen o Elecricl n Comer Enineerin Isn Universi o ecnolo Isn IRAN Absrc In is er clcls o vriion meos re
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More informationSolutions to Problems from Chapter 2
Soluions o Problems rom Chper Problem. The signls u() :5sgn(), u () :5sgn(), nd u h () :5sgn() re ploed respecively in Figures.,b,c. Noe h u h () :5sgn() :5; 8 including, bu u () :5sgn() is undeined..5
More informationVorticity equation 2. Why did Charney call it PV?
Vorici eqaion Wh i Charne call i PV? The Vorici Eqaion Wan o nersan he rocesses ha roce changes in orici. So erie an eression ha incles he ime eriaie o orici: Sm o orces in irecion Recall ha he momenm
More informationNonlinear Adaptive Control Law for ALFLEX Using Dynamic Inversion and Disturbance Accommodation Control Observer
CCAS5 Jne -5, KNEX, Gyeonggi-Do, Kore Nonliner Adive Conrol Lw for ALFLEX Using Dynmic nversion nd Disrbnce Accommodion Conrol Observer Disk Higshi*,Yo Shimd**, nd Kenji Uchiym*** * Grde Sden, **Professo
More informationHermite-Hadamard and Simpson Type Inequalities for Differentiable Quasi-Geometrically Convex Functions
Trkish Jornl o Anlysis nd Nmer Theory, 4, Vol, No, 4-46 Aville online h://ssciecom/jn/// Science nd Edcion Plishing DOI:69/jn--- Hermie-Hdmrd nd Simson Tye Ineliies or Dierenile Qsi-Geomericlly Convex
More informationME 321: FLUID MECHANICS-I
8/7/18 ME 31: FLUID MECHANICS-I Dr. A.B.M. Toiqe Hasan Proessor Dearmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-13 8/7/18 Dierenial Analsis o Flid Moion
More informationModule 5: Two Dimensional Problems in Cartesian Coordinate System
Moule : Two Dimenionl Problem in Crein Coorine Sem Moule/Leon.. SOLUTIONS OF TWODIMENSIONAL PROBLEMS BY THE USE OF POLYNOMIALS Te equion given b will be iie b ereing Air uncion (, ) olnomil. () Polnomil
More informationThe One-Dimensional Boltzmann Equation for the Heat Transport Induced by Ultra-Short Laser Pulses
The One-Dimensionl olmnn Eqion or he He Trnspor Indced by Ulr-Shor ser Plses rxi:cond-m/0306700 7 Jn 003 Jnin Mrci-Kolos nd Mirosl Kolosi b * Insie o Elecron Technology Al. onió 3/46 0-668 Wrs Polnd. b
More informationAIR DENSITY AND ITS UNCERTAINTY. Manuel Salazar Maria Vega
AIR DENSIY AND IS UNCERAINY Mnel Slzr Mri Veg CONENS Air nd is comosiion Wys o clcle e ir densiy Cr CIPM Eqion Aroxime eqion Unceriny Air nd is comosiion e ir is mixre of seerl gses dry ir, nd wer in sem
More informationChapter 10. Simple Harmonic Motion and Elasticity. Goals for Chapter 10
Chper 0 Siple Hronic Moion nd Elsiciy Gols or Chper 0 o ollow periodic oion o sudy o siple hronic oion. o sole equions o siple hronic oion. o use he pendulu s prooypicl syse undergoing siple hronic oion.
More information( ) 2 a b ab. To do this, we are to use the Ricci identity (which we use to evaluate the RHS) and the properties of the Lie derivative.
Exercise [9.6] This exercise sks s o show h he ccelerion of n (infiniesiml volme mesre V long he worlline he volme s cener e o he effecs of spceime crvre is given by: D V = R V ( b b To o his, we re o
More informationUNIVERSAL BOUNDS FOR EIGENVALUES OF FOURTH-ORDER WEIGHTED POLYNOMIAL OPERATOR ON DOMAINS IN COMPLEX PROJECTIVE SPACES
wwwrresscom/volmes/vol7isse/ijrras_7 df UNIVERSAL BOUNDS FOR EIGENVALUES OF FOURTH-ORDER WEIGHTED POLYNOIAL OPERATOR ON DOAINS IN COPLEX PROJECTIVE SPACES D Feng & L Ynl * Scool of emcs nd Pyscs Scence
More informationChapter 2. Motion along a straight line. 9/9/2015 Physics 218
Chper Moion long srigh line 9/9/05 Physics 8 Gols for Chper How o describe srigh line moion in erms of displcemen nd erge elociy. The mening of insnneous elociy nd speed. Aerge elociy/insnneous elociy
More informationMathematical Modeling of Hydroelastic Oscillations of the Stamp and the Plate, Resting on Pasternak Foundation
Jornl o Physics: onerence Series PAPER OPEN AESS Mheicl Moeling o Hyroelsic Oscillions o he S n he Ple Resing on Psern Fonion To cie his ricle: L I Mogilevich e l 8 J. Phys.: on. Ser. 9 8 Vie he ricle
More informationAn object moving with speed v around a point at distance r, has an angular velocity. m/s m
Roion The mosphere roes wih he erh n moions wihin he mosphere clerly follow cure phs (cyclones, nicyclones, hurricnes, ornoes ec.) We nee o epress roion quniiely. For soli objec or ny mss h oes no isor
More informationExecutive Committee and Officers ( )
Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r
More informationJournal of Quality Measurement and Analysis JQMA 7(1) 2011, Jurnal Pengukuran Kualiti dan Analisis
Jornl o Qliy Mesremen n Anlysis JQMA 7 7- Jrnl Pengrn Klii n Anlisis A NON-OA BOUNDARY VAUE PROBEM WIH INEGRA ONDIIONS OR A SEOND ORDER HYPERBOI EQUAION S Mslh Nili Sempn -Seemp engn Syr Kmirn bgi S Persmn
More informationPhysics Worksheet Lesson 4: Linear Motion Section: Name:
Physics Workshee Lesson 4: Liner Moion Secion: Nme: 1. Relie Moion:. All moion is. b. is n rbirry coorine sysem wih reference o which he posiion or moion of somehing is escribe or physicl lws re formule.
More informationENGR 1990 Engineering Mathematics The Integral of a Function as a Function
ENGR 1990 Engineering Mhemics The Inegrl of Funcion s Funcion Previously, we lerned how o esime he inegrl of funcion f( ) over some inervl y dding he res of finie se of rpezoids h represen he re under
More informationSome algorthim for solving system of linear volterra integral equation of second kind by using MATLAB 7 ALAN JALAL ABD ALKADER
. Soe lgoi o solving syse o line vole inegl eqion o second ind by sing MATLAB 7 ALAN JALAL ABD ALKADER College o Edcion / Al- Msnsiiy Univesiy Depen o Meics تقديم البحث :-//7 قبول النشر:- //. Absc ( /
More informationAverage & instantaneous velocity and acceleration Motion with constant acceleration
Physics 7: Lecure Reminders Discussion nd Lb secions sr meeing ne week Fill ou Pink dd/drop form if you need o swich o differen secion h is FULL. Do i TODAY. Homework Ch. : 5, 7,, 3,, nd 6 Ch.: 6,, 3 Submission
More informationWeighted Inequalities for Riemann-Stieltjes Integrals
Aville hp://pvm.e/m Appl. Appl. Mh. ISSN: 93-9466 ol. Ie Decemer 06 pp. 856-874 Applicion n Applie Mhemic: An Inernionl Jornl AAM Weighe Ineqliie or Riemnn-Sielje Inegrl Hüeyin Bk n Mehme Zeki Sriky Deprmen
More informationMotion. Part 2: Constant Acceleration. Acceleration. October Lab Physics. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration.
Moion Accelerion Pr : Consn Accelerion Accelerion Accelerion Accelerion is he re of chnge of velociy. = v - vo = Δv Δ ccelerion = = v - vo chnge of velociy elpsed ime Accelerion is vecor, lhough in one-dimensionl
More informationI M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o
I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o u l d a l w a y s b e t a k e n, i n c l u d f o l
More informationMathcad Lecture #4 In-class Worksheet Vectors and Matrices 1 (Basics)
Mh Lr # In-l Workh Vor n Mri (Bi) h n o hi lr, o hol l o: r mri n or in Mh i mri prorm i mri mh oprion ol m o linr qion ing mri mh. Cring Mri Thr r rl o r mri. Th "Inr Mri" Wino (M) B K Poin Rr o
More informationForms of Energy. Mass = Energy. Page 1. SPH4U: Introduction to Work. Work & Energy. Particle Physics:
SPH4U: Inroducion o ork ork & Energy ork & Energy Discussion Definiion Do Produc ork of consn force ork/kineic energy heore ork of uliple consn forces Coens One of he os iporn conceps in physics Alernive
More informationLecture 3: 1-D Kinematics. This Week s Announcements: Class Webpage: visit regularly
Lecure 3: 1-D Kinemics This Week s Announcemens: Clss Webpge: hp://kesrel.nm.edu/~dmeier/phys121/phys121.hml isi regulrly Our TA is Lorrine Bowmn Week 2 Reding: Chper 2 - Gincoli Week 2 Assignmens: Due:
More informationLocation is relative. Coordinate Systems. Which of the following can be described with vectors??
Locion is relive Coordine Sysems The posiion o hing is sed relive o noher hing (rel or virul) review o he physicl sis h governs mhemicl represenions Reerence oec mus e deined Disnce mus e nown Direcion
More informationCosmological Distances in Closed Model of the Universe
Inerninl Jurnl f srnmy n srpysics 3 3 99-3 p://xirg/436/ij333 Publise Online June 3 (p://wwwscirprg/jurnl/ij) Csmlgicl Disnces in Clse el f e Universe Fel Bukri Deprmen f srnmy Fculy f Science King bulziz
More informationInventory Management Models with Variable Holding Cost and Salvage value
OSR Journl of Business nd Mngemen OSR-JBM e-ssn: -X p-ssn: 9-. Volume ssue Jul. - Aug. PP - www.iosrjournls.org nvenory Mngemen Models wi Vrile Holding os nd Slvge vlue R.Mon R.Venkeswrlu Memics Dep ollege
More informationSection P.1 Notes Page 1 Section P.1 Precalculus and Trigonometry Review
Secion P Noe Pge Secion P Preclculu nd Trigonomer Review ALGEBRA AND PRECALCULUS Eponen Lw: Emple: 8 Emple: Emple: Emple: b b Emple: 9 EXAMPLE: Simplif: nd wrie wi poiive eponen Fir I will flip e frcion
More informationc. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f
Essential Skills Chapter f ( x + h) f ( x ). Simplifying the difference quotient Section. h f ( x + h) f ( x ) Example: For f ( x) = 4x 4 x, find and simplify completely. h Answer: 4 8x 4 h. Finding the
More informationISSUES RELATED WITH ARMA (P,Q) PROCESS. Salah H. Abid AL-Mustansirya University - College Of Education Department of Mathematics (IRAQ / BAGHDAD)
Eoen Jonl of Sisics n Poiliy Vol. No..9- Mc Plise y Eoen Cene fo Resec Tinin n Develoen UK www.e-onls.o ISSUES RELATED WITH ARMA PQ PROCESS Sl H. Ai AL-Msnsiy Univesiy - Collee Of Ecion Deen of Meics IRAQ
More informationJune Further Pure Mathematics FP2 Mark Scheme
Jne 75 Frher Pre Mheis FP Mrk Shee. e e e e 5 e e 7 M: Siplify o for qri in e ( e )(e 7) e, e 7 M: Solve er qri. ln or ln ln 7 B M A M A A () Mrks. () Using ( e ) or eqiv. o fin e or e: ( = n = ) M A e
More information6. Gas dynamics. Ideal gases Speed of infinitesimal disturbances in still gas
6. Gs dynmics Dr. Gergely Krisóf De. of Fluid echnics, BE Februry, 009. Seed of infiniesiml disurbnces in sill gs dv d, dv d, Coninuiy: ( dv)( ) dv omenum r r heorem: ( ( dv) ) d 3443 4 q m dv d dv llievi
More informationP a g e 5 1 of R e p o r t P B 4 / 0 9
P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e
More informationTHE CENTRALISED SOLUTION OF THE UZAWA-LUCAS MODEL WITH EXTERNALITIES. Alessio Moro University of Cagliari
THE CENTRALISED SOLUTION OF THE UZAWA-LUCAS MODEL WITH EXTERNALITIES Alessio Moro Universiy of Cgliri Te er solves e cenrlised version of e Uw -Lcs model wen n exernliy is resen By mens of rnsformion ses
More informationResults as of 30 September 2018
rt Results as of 30 September 2018 F r e e t r a n s l a t ion f r o m t h e o r ig ina l in S p a n is h. I n t h e e v e n t o f d i s c r e p a n c y, t h e Sp a n i s h - la n g u a g e v e r s ion
More information0 for t < 0 1 for t > 0
8.0 Sep nd del funcions Auhor: Jeremy Orloff The uni Sep Funcion We define he uni sep funcion by u() = 0 for < 0 for > 0 I is clled he uni sep funcion becuse i kes uni sep = 0. I is someimes clled he Heviside
More informationParticle Filtering. CSE 473: Artificial Intelligence Particle Filters. Representation: Particles. Particle Filtering: Elapse Time
CSE 473: Arificil Inelligence Pricle Filers Dieer Fo Universiy of Wshingon [Mos slides were creed by Dn Klein nd Pieer Abbeel for CS88 Inro o AI UC Berkeley. All CS88 merils re vilble h://i.berkeley.ed.]
More informationAdditional Exercises for Chapter What is the slope-intercept form of the equation of the line given by 3x + 5y + 2 = 0?
ddiional Eercises for Caper 5 bou Lines, Slopes, and Tangen Lines 39. Find an equaion for e line roug e wo poins (, 7) and (5, ). 4. Wa is e slope-inercep form of e equaion of e line given by 3 + 5y +
More informationEÜFBED - Fen Bilimleri Enstitüsü Dergisi Cilt-Sayı: 3-2 Yıl:
63 EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7 SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX TÜREVİNİN MUTLAK DEĞERİ QUASI-KONVEKS
More informationMASS, STIFFNESS, AND DAMPING MATRICES FROM MEASURED MODAL PARAMETERS
IS 74 Inernionl Insrmenion-omion Conference & Exhibi Ocober, 974 MSS, STIFFNESS, ND DMPING MTRICES FROM MESURED MODL PRMETERS Ron Poer nd Mr Richrdson Digil Signl nlysis HEWLETT-PCKRD COMPNY Sn Clr, Cliforni
More informationConservation Law. Chapter Goal. 6.2 Theory
Chpter 6 Conservtion Lw 6.1 Gol Our long term gol is to unerstn how mthemticl moels re erive. Here, we will stuy how certin quntity chnges with time in given region (sptil omin). We then first erive the
More informationA Structural Approach to the Enforcement of Language and Disjunctive Constraints
A Srucurl Aroch o he Enforcemen of Lnguge nd Disjuncive Consrins Mrin V. Iordche School of Engineering nd Eng. Tech. LeTourneu Universiy Longview, TX 7607-700 Pnos J. Ansklis Dermen of Elecricl Engineering
More information3. Renewal Limit Theorems
Virul Lborories > 14. Renewl Processes > 1 2 3 3. Renewl Limi Theorems In he inroducion o renewl processes, we noed h he rrivl ime process nd he couning process re inverses, in sens The rrivl ime process
More informationHow to prove the Riemann Hypothesis
Scholrs Journl of Phsics, Mhemics nd Sisics Sch. J. Phs. Mh. S. 5; (B:5-6 Scholrs Acdemic nd Scienific Publishers (SAS Publishers (An Inernionl Publisher for Acdemic nd Scienific Resources *Corresonding
More informationSolution to Theoretical Question 2. A Piezoelectric Crystal Resonator under an Alternating Voltage Part A
Solion o eoreical Qesion A Piezoelecric Crysal Resonaor ner an Alernaing olage Par A a Refer o Figre A e lef face of e ro oves a isance v wile e ressre wave ravels a isance wi / ρ e srain a e lef face
More informationAgenda Rationale for ETG S eek ing I d eas ETG fram ew ork and res u lts 2
Internal Innovation @ C is c o 2 0 0 6 C i s c o S y s t e m s, I n c. A l l r i g h t s r e s e r v e d. C i s c o C o n f i d e n t i a l 1 Agenda Rationale for ETG S eek ing I d eas ETG fram ew ork
More informationSECTION COIL SECTION COIL OPTIONAL: AUXILIARY DRAIN PAN FOR PIPING PACKAGE COIL CONFIGURATIONS (RH CONNECTIONS SHOWN) HEATING ONLY 1 COOLING PREHEAT
BOTTOM CCESS OOR (C) " /" [ 0 7 ] FILTER /" [ 8 ] FOM LINE SLOPE RIN PN ETERNLLY INSULTE IT FOM SIPPE LOOSE FOR FIEL INSTLLTION R CONFIG. SON NING ETERMINE BY + " [ 7 ] L 5 7/8" [ 9 ] ECM FL.P. 5V 08V
More informationAn Integral Two Space-Variables Condition for Parabolic Equations
Jornl of Mhemics nd Sisics 8 (): 85-9, ISSN 549-3644 Science Pblicions An Inegrl Two Spce-Vribles Condiion for Prbolic Eqions Mrhone, A.L. nd F. Lkhl Deprmen of Mhemics, Lborory Eqions Differenielles,
More information1. Consider a PSA initially at rest in the beginning of the left-hand end of a long ISS corridor. Assume xo = 0 on the left end of the ISS corridor.
In Eercise 1, use sndrd recngulr Cresin coordine sysem. Le ime be represened long he horizonl is. Assume ll ccelerions nd decelerions re consn. 1. Consider PSA iniilly res in he beginning of he lef-hnd
More informationComposite Reinforcement of Cylindrical Pressure Vessels
Comosie einorcemen o Cylindricl Pressure Vessels Cylindricl Pressure Vessels Cylindricl ressure vessels re in idesred use or vriey o licions SCBA nd SCUBA nks Prone nks Comressed Nurl Gs (CNG) nd ydrogen
More informationDevelopment of a New Scheme for the Solution of Initial Value Problems in Ordinary Differential Equations
IOS Journl o Memics IOSJM ISSN: 78-78 Volume Issue July-Aug PP -9 www.iosrjournls.org Developmen o New Sceme or e Soluion o Iniil Vlue Problems in Ordinry Dierenil Equions Ogunrinde. B. dugb S. E. Deprmen
More information176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s
A g la di ou s F. L. 462 E l ec tr on ic D ev el op me nt A i ng er A.W.S. 371 C. A. M. A l ex an de r 236 A d mi ni st ra ti on R. H. (M rs ) A n dr ew s P. V. 326 O p ti ca l Tr an sm is si on A p ps
More informationPHYSICS 1210 Exam 1 University of Wyoming 14 February points
PHYSICS 1210 Em 1 Uniersiy of Wyoming 14 Februry 2013 150 poins This es is open-noe nd closed-book. Clculors re permied bu compuers re no. No collborion, consulion, or communicion wih oher people (oher
More informationDifferential Equation of Eigenvalues for Sturm Liouville Boundary Value Problem with Neumann Boundary Conditions
Ierol Reserc Jorl o Aled d Bsc Sceces 3 Avlle ole www.rjs.co ISSN 5-838X / Vol 4 : 997-33 Scece Exlorer Plcos Derel Eqo o Eevles or Sr Lovlle Bodry Vle Prole w Ne Bodry Codos Al Kll Gold Dere o Mecs Azr
More informationCHEMISTRY 047 STUDY PACKAGE
CHEMISTRY 047 STUDY PACKAGE Tis maerial is inended as a review of skills you once learned. PREPARING TO WRITE THE ASSESSMENT VIU/CAP/D:\Users\carpenem\AppDaa\Local\Microsof\Windows\Temporary Inerne Files\Conen.Oulook\JTXREBLD\Cemisry
More informationMore on Magnetically C Coupled Coils and Ideal Transformers
Appenix ore on gneiclly C Couple Coils Iel Trnsformers C. Equivlen Circuis for gneiclly Couple Coils A imes, i is convenien o moel mgneiclly couple coils wih n equivlen circui h oes no involve mgneic coupling.
More informationConvergence of the FEM. by Hui Zhang Jorida Kushova Ruwen Jung
Covergece o te FEM by Hi Zg Jorid Ksov Rwe Jg I order to proo FEM soltios to be coverget, mesremet or teir qlity is reqired. A simple pproc i ect soltio is ccessible is to qtiy te error betwee FEMd te
More informationRTT relates between the system approach with finite control volume approach for a system property:
8//8 ME 3: FLUI MECHANI-I r. A.B.M. Tofiqe Hasan Professor eparmen of Mecanical Enineerin Banlades Universiy of Enineerin & Tecnoloy (BUET, aka Lecre- 8//8 Flid ynamics eacer.be.ac.bd/ofiqeasan/ bd/ofiqeasan/
More informationHuman-Robot Cooperative Manipulation with Motion Estimation
Human-Robo Cooperaive Manipulaion wih Moion Esimaion Yusuke MAEDA, Takayuki HARA and Tamio ARAI (The Universiy o Tokyo) 1. Inroducion 2. Virual Compliance Conrol 3. Esimaion o Human Moion 4. Eperimens
More informationEXAMINATION IN. Hydraulic Servo Systems, TMHP51 / TEN1. Saturday 17 December 2012, at 2 pm - 6 pm
Linköing Teknik Högkol EXMINTION Pge 6 IEI TMHP5/TEN Fluid nd Mecronic Sye 0--7 EXMINTION IN Hydrulic Sero Sye TMHP5 / TEN e: Surdy 7 eceber 0-6 Roo:?? llowed educionl id: Tble: Sndrd Meicl Tble or iilr
More informationAlgebra Of Matrices & Determinants
lgebr Of Mtrices & Determinnts Importnt erms Definitions & Formule 0 Mtrix - bsic introduction: mtrix hving m rows nd n columns is clled mtrix of order m n (red s m b n mtrix) nd mtrix of order lso in
More informationSoftware Process Models there are many process model s in th e li t e ra t u re, s om e a r e prescriptions and some are descriptions you need to mode
Unit 2 : Software Process O b j ec t i ve This unit introduces software systems engineering through a discussion of software processes and their principal characteristics. In order to achieve the desireable
More informationHow to Prove the Riemann Hypothesis Author: Fayez Fok Al Adeh.
How o Prove he Riemnn Hohesis Auhor: Fez Fok Al Adeh. Presiden of he Srin Cosmologicl Socie P.O.Bo,387,Dmscus,Sri Tels:963--77679,735 Emil:hf@scs-ne.org Commens: 3 ges Subj-Clss: Funcionl nlsis, comle
More information1. Find a basis for the row space of each of the following matrices. Your basis should consist of rows of the original matrix.
Mh 7 Exm - Prcice Prolem Solions. Find sis for he row spce of ech of he following mrices. Yor sis shold consis of rows of he originl mrix. 4 () 7 7 8 () Since we wn sis for he row spce consising of rows
More informationChE 548 Final Exam Spring, 2004
. Keffer, eprtment of Chemil Engineering, University of ennessee ChE 58 Finl Em Spring, Problem. Consider single-omponent, inompressible flid moving down n ninslted fnnel. erive the energy blne for this
More informationATMS 310 The Vorticity Equation. The Vorticity Equation describes the factors that can alter the magnitude of the absolute vorticity with time.
ATMS 30 The Vorici Eqaion The Vorici Eqaion describes he acors ha can aler he magnide o he absole orici ih ime. Vorici Eqaion in Caresian Coordinaes The (,,,) orm is deried rom he rimiie horional eqaions
More informationUltrafast Spectroscopy
IPT544000 Seleced Toics in Ulrfs Oics Ulrfs Secroscoy Chen-Bin Robin Hung Insiue of Phoonics Technologies Nionl Tsing Hu Universiy, Tiwnn Good references: Good references: P. Hnnford, Femosecond Lser Secroscoy
More information2D Motion WS. A horizontally launched projectile s initial vertical velocity is zero. Solve the following problems with this information.
Nme D Moion WS The equions of moion h rele o projeciles were discussed in he Projecile Moion Anlsis Acii. ou found h projecile moes wih consn eloci in he horizonl direcion nd consn ccelerion in he ericl
More informationRefinements to Hadamard s Inequality for Log-Convex Functions
Alied Mhemics 899-93 doi:436/m7 Pulished Online Jul (h://wwwscirporg/journl/m) Refinemens o Hdmrd s Ineuli for Log-Convex Funcions Asrc Wdllh T Sulimn Dermen of Comuer Engineering College of Engineering
More informationCanadian Graduate and Professional Student Survey (CGPSS) 2016
Ac a d e m i c S t u d e n t l i f e O v e r a l l Canadian Graduate and Professional Student Survey (CGPSS) Summary of Results Prepared by the Office of Institutional Analysis The CGPSS was administered
More informationI = I = I for this case of symmetry about the x axis, we find from
8-5. THE MOTON OF A TOP n his secion, we shll consider he moion of n xilly symmeric body, sch s op, which hs fixed poin on is xis of symmery nd is ced pon by niform force field. The op ws chosen becse
More informationTopic 6b Finite Difference Approximations
/8/8 Course Instructor Dr. Rymond C. Rump Oice: A 7 Pone: (95) 747 6958 E Mil: rcrump@utep.edu Topic 6b Finite Dierence Approximtions EE 486/5 Computtionl Metods in EE Outline Wt re inite dierence pproximtions?
More informationOH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9
OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at
More information2 tel
Us. Timeless, sophisticated wall decor that is classic yet modern. Our style has no limitations; from traditional to contemporar y, with global design inspiration. The attention to detail and hand- craf
More informationSeismic evaluation of reinforced concrete building retrofitted with energy absorbing devices
Seismic evltion of reinforce concrete biling retrofitte wit energy bsorbing evices Koji Hiroisi Kobe University, Jpn (crrently Tisei Corportion, Tecnology Center) Hieo Fjitni Kobe University, Jpn Yoici
More information1 nonlinear.mcd Find solution root to nonlinear algebraic equation f(x)=0. Instructor: Nam Sun Wang
nonlinermc Fin solution root to nonliner lgebric eqution ()= Instructor: Nm Sun Wng Bckgroun In science n engineering, we oten encounter lgebric equtions where we wnt to in root(s) tht stisies given eqution
More informationCONTACTOR COIL Rolla, Missouri, USA. machmotion.com TEMPERATURE SWITCH PUSH BUTTON CNC CONTROL SYSTEM
ISIONS SYMOL LE SYMOL G ESRIPION R RELY OIL ON, M, K SOL OR OIL SOLEI Rolla, Missouri, S RK MGNEI RKE ON --99 PRS PROXIMIY SIH S EMPERRE SIH P PSH ON MR SP xxyy SHL OMPONEN G FORM r s R S N PS R OL IS
More informationR. I. Badran Solid State Physics
I Bdrn Solid Stte Physics Crystl vibrtions nd the clssicl theory: The ssmption will be mde to consider tht the men eqilibrim position of ech ion is t Brvis lttice site The ions oscillte bot this men position
More informationA Kalman filtering simulation
A Klmn filering simulion The performnce of Klmn filering hs been esed on he bsis of wo differen dynmicl models, ssuming eiher moion wih consn elociy or wih consn ccelerion. The former is epeced o beer
More informationT h e C S E T I P r o j e c t
T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T
More informationV.sin. AIM: Investigate the projectile motion of a rigid body. INTRODUCTION:
EXPERIMENT 5: PROJECTILE MOTION: AIM: Invesigae e projecile moion of a rigid body. INTRODUCTION: Projecile moion is defined as e moion of a mass from op o e ground in verical line, or combined parabolic
More informationUse precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D
Lesson eight What are characteristics of chemical reactions? Science Constructing Explanations, Engaging in Argument and Obtaining, Evaluating, and Communicating Information ENGLISH LANGUAGE ARTS Reading
More informationDerivation of the differential equation of motion
Divion of h iffnil quion of oion Fis h noions fin h will us fo h ivion of h iffnil quion of oion. Rollo is hough o -insionl isk. xnl ius of h ll isnc cn of ll (O) - IDU s cn of gviy (M) θ ngl of inclinion
More informationAdrian Sfarti University of California, 387 Soda Hall, UC Berkeley, California, USA
Innionl Jonl of Phoonis n Oil Thnolo Vol. 3 Iss. : 36-4 Jn 7 Rliisi Dnis n lonis in Unifol l n in Unifol Roin s-th Gnl ssions fo h loni 4-Vo Ponil in Sfi Unisi of Clifoni 387 So Hll UC Bkl Clifoni US s@ll.n
More informationI N A C O M P L E X W O R L D
IS L A M I C E C O N O M I C S I N A C O M P L E X W O R L D E x p l o r a t i o n s i n A g-b eanste d S i m u l a t i o n S a m i A l-s u w a i l e m 1 4 2 9 H 2 0 0 8 I s l a m i c D e v e l o p m e
More informationME 425: Aerodynamics
ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET, Dhaka Lecre-7 Fndamenals so Aerodnamics oiqehasan.be.ac.bd oiqehasan@me.be.ac.bd
More informationRESPONSE UNDER A GENERAL PERIODIC FORCE. When the external force F(t) is periodic with periodτ = 2π
RESPONSE UNDER A GENERAL PERIODIC FORCE When he exernl force F() is periodic wih periodτ / ω,i cn be expnded in Fourier series F( ) o α ω α b ω () where τ F( ) ω d, τ,,,... () nd b τ F( ) ω d, τ,,... (3)
More informationON A NEW SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATION USING COMPLEX TRANSFORM IN THE UNIT DISK
Mhemicl Compionl pplicions Vol 9 No pp 5-6 4 ON NEW SOLUTION OF FRCTIONL IFFERENTIL EQUTION USING COMPLEX TRNSFORM IN THE UNIT ISK Rbh W Ibrhim Mslin rs Insie of Mhemicl Sciences Universiy Mly 563 Kl Lmpr
More informationOur main purpose in this section is to undertake an examination of the stock
3. Caial gains ax and e sock rice volailiy Our main urose in is secion is o underake an examinaion of e sock rice volailiy by considering ow e raional seculaor s olding canges afer e ax rae on caial gains
More informationInternational Journal of Mathematical Archive-3(2), 2012, Page: Available online through ISSN
Inernaional Jornal o Mahemaical Archive- age: 59-57 Available online hrogh wwwijmaino ISSN 9 546 A NON-OA OUNDARY VAUE ROEM WIH INEGRA ONDIIONS OR A OURH ORDER SEUDOHYEROI EQUAION Azizbayov EI* an Y Mehraliyev
More informationME 425: Aerodynamics
3/4/18 ME 45: Aerodnamics Dr. A.B.M. Toiqe Hasan Proessor Deparmen o Mechanical Engineering Bangladesh Uniersi o Engineering & Technolog BUET Dhaka Lecre-6 3/4/18 Fndamenals so Aerodnamics eacher.be.ac.bd/oiqehasan/
More informationPhysics 2A HW #3 Solutions
Chper 3 Focus on Conceps: 3, 4, 6, 9 Problems: 9, 9, 3, 41, 66, 7, 75, 77 Phsics A HW #3 Soluions Focus On Conceps 3-3 (c) The ccelerion due o grvi is he sme for boh blls, despie he fc h he hve differen
More informationPART V. Wavelets & Multiresolution Analysis
Wveles 65 PART V Wveles & Muliresoluion Anlysis ADDITIONAL REFERENCES: A. Cohen, Numericl Anlysis o Wvele Mehods, Norh-Hollnd, (003) S. Mll, A Wvele Tour o Signl Processing, Acdemic Press, (999) I. Dubechies,
More information