Introduction to Earthquake Engineering Response Analysis
|
|
|
- Camilla Francis
- 6 years ago
- Views:
Transcription
1 Irodcio o Earhqake Egieerig Respose Aalysis Pro. Dr.-Ig. Uwe E. Dorka Sad: Sepemer 03
2 Modelig o ildigs masses lmped i loors rames wih plasic higes Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig
3 Soil-Srcre Ieracio srcre wih soil i FE ad BE simpliied model odary elemes From Clogh, Pezie (3) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 3
4 Modelig o ridges spersrcre, earigs ad colms wih FE mliple ase ip Model wih 0 dyamic DOFs maser ode 3 DOF x y x y x y y z y 0 z Rayleigh-dampig: C am K a w w w D w D w w w D w D w w x y x y wih D =D =5% yields w =00.06 ad w =49.44 a = = x y y z 33 9 y 0 z Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 4
5 Earhqake Loadig lmped MDOF-syem wih rigid ase raslaio (horizoal case) Reerece axis v m v c v k v 0 v v j v g j where direcio cosie, or ildigs ypicall "" m v c v k v p e From Clogh, Pezie (3) e p m j v g Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 5
6 Descripio o o-liear ehavior Hyseresis models (D) o-degradig models Biliear Model Triliear Model Ramerg-Osgood model From Wakaayashi () Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 6
7 Descripio o o-liear ehavior Hyseresis models (D) Degradig Models Piecewise liear model (Clogh ad Johso) Triliear Takeda model or rc-memers From Wakaayashi () Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 7
8 Descripio o o-liear ehavior Hyseresis models (D) Slip-Type Models Dole iliear model y Taaashi ad Kaea Slip-ype model From Wakaayashi () Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 8
9 Descripio o o-liear ehavior Example or slip-ype hyseresis model (ricio coecio wih mliple sops) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 9
10 Descripio o o-liear ehavior D Hyseresis Model (D Boc-Whe) From Pradlwarer, Schëller, Dorka (7) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 0
11 Time Hisory Aalysis Time Discreizaio Dyamic eqilirim: M d d x C d d x Kx r p( ) wih r : vecor o o-liear resorig orces Shape cios or discreizig x i ime: / ; ; / wih: / Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig
12 Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig Weighed Residal Formlaio d K C M W d d d d d d d d d d d d * * * p r * ; ; Wd d W Wd d W Weighig cio W:
13 3-Poi Recrrece Scheme Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 3 * * * K C M K C M K C M 0 r G * * 0 p K C M K C M K C M K C M G wih:
14 Sailiy ad Accracy Sailiy ad Accracy Solio or liear SDOFsysem: ad is recrre orm: yields a characerisc eqaio: y( ) Ye y Ye e Ye y m c k m c m c k 0 k exac solio: sale solio wih merical dampig: Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 4
15 Sailiy ad Accracy period elogaio merical dampig T/T /T codiioally sale ewmark scheme wiho merical dampig Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 5
16 ewo-raphso Ieraio G 0 r Sice he respose r a ime + is o kow, a ieraio wihi each ime sep is reqired o solve his eqaio: From Chopra (4) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 6
17 ewo-raphso Ieraio From Chopra (4) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 7
18 Examples o ime hisory Respose o liear SDOF-sysem wih T=0,5 s ad z=0 o El Cero grod moio s 0 0 w elasic resisig orce oal acceleraio o he mass peak vale o elasic resisig orce peak vale o oal acceleraio weigh o mass From Chopra (4) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 8
19 Examples o ime hisory From Chopra (4) y y o y o ormalized yield sregh m y dciliy acor Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 9
20 Examples o ime hisory Respose o elasoplasic sysem wih T=0,5 s, z=0 ad y=0,5 o El Cero grod moio deormaio resisig orce expressed as acceleraio ime iervalls o yieldig yield sregh orce-deormaio relaio (hyseresis) From Chopra (4) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 0
21 Examples o ime hisory Deormaio respose ad yieldig o or sysems de o El Cero grod moio; T=0,5 s, z=5% ad y=- 0,5-0,5 ad 0,5 From Chopra (4) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig
22 Respose Specra viscosly damped SDOF oscillaor From Meskoris (5) From Peerse () m d k m yf m -solvig his eqaio or varios w ad z, oly or oe speciic accelerogramm -he maximm asole acceleraio o his solio gives s he azissa or he ollowig diagramm w w y F where: Eigereqecy: Dampig raio: k w m d m w Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig
23 Respose Specra give y EC 8 The acceleraio respose specra i EC 8 are give wih respec o he ssoil classes Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 3
24 Respose Specra give y EC 8 Compariso o elasic ad ielasic respose specra From Meskoris (5) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 4
25 Modal Aalysis liear eqaios o moio or a MDOF, homogeeos, damped case wih his modal marix, he eqaios o moio ca e rasorm io modal coordiaes or or a damped case wih grod acceleraio m k 0 solvig he eigevale prolem gives s he modal marix F F F F F3... F T T F m F F k F 0 M K 0 T T T T F m F F c F F k F F mj F M C K F ow we have copled eqaios o moio or SDOFsysems i modal coordiaes Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 5
26 Modal Aalysis These eqaios cold e solved i kow ways, so we ge solios i modal coordiaes i he ime domai Wih he modal marix we are ale o rasorm hese solios ack io local coordiaes j F j Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 6
27 Modal Aalysis sig Respose Specra The modal resposes aai heir peaks a diere ime isas. How do we have o comie hese peak vales? S S Sperposiio o asole vales j j S Sj j Sqare Roo Sm o Sqare (SRSS) j k S S S jk j jk k correlaio coeicie Complee Qadraic Comiaio (CQC) Pro. Dr.-Ig. Dorka Irodcio o Earhqake Egieerig 7
28 Reereces () Wakaayashi Desig o Earhqake-Resisa Bildigs McGraw-Hill Book Compay () Peerse Dyamik der Bakosrkioe Vieweg (3) Clogh, Pezie Dyamics o Srcres McGraw-Hill (4) Chopra Dyamics o Srcres Preice Hall (5) Meskoris Badyamik Ers & Soh (6) Ziekiewicz The Fiie Eleme Mehod McGraw-Hill Book Compay (7) Pradlwarer, Schëller, Dorka Reliailiy o MDOF-sysems wih hysereic devices, i Egieerig Srcres, Vol. 0, 998 Elsevier
Single Degree of Freedom System Free Vibration
Maa Kliah : Diamika Srkr & Pegaar Rekayasa Kegempaa Kode : TSP 30 SKS : 3 SKS Sigle Degree of Freedom Sysem Free Vibraio Perema - TIU : Mahasisa dapa mejelaska eag eori diamika srkr. Mahasisa dapa memba
Single Degree of Freedom System Free Vibration
Iegriy, Professioalism, & Erepreership Maa Kliah : Diamika Srkr & Pegaar Rekayasa Kegempaa Kode : CIV 308 SKS : 3 SKS Sigle Degree of Freedom Sysem Free Vibraio Perema - Iegriy, Professioalism, & Erepreership
Evaluation of the Seismic Energy Demand for Asymmetric-Plan Buildings Subjected to Bi- Directional Ground Motions
Evaluaio of he Seismic Eergy Demad for Asymmeric-Pla Buildigs Subjeced o Bi- Direcioal Groud Moios Jui-Liag Li & Keh-Chyua sai Naioal Ceer for Research o Earhquae Egieerig aipei aiwa R.O.C. 9 NZSEE Coferece
Nonlinear Dynamic SSI Analysis with Coupled FEM-SBFEM Approach
Noliear Dyamic SSI Aalysis wih Coupled FEM-SBFEM Approach N.M. Syed & B.K. Maheshwari Idia Isiue of Techology Roorkee, Idia ABSTRACT: This paper preses a coupled FEM-SBFEM approach for he dyamic SSI aalysis
Structural Vibration
Fdameals of Srcral Vibraio Seaer: Prof. FUNG a Chig Dae & ime: Wed Ags 4, :3-5:3 m Vee: CEE Semiar Room D (N-B4C-9B School of Civil ad Eviromeal Egieerig Nayag echological Uiversiy oics i Fdameals of Srcral
Numerical KDV equation by the Adomian decomposition method
America Joral o oder Physics ; () : -5 Pblished olie ay (hp://wwwsciecepblishiggropcom/j/ajmp) doi: 648/jajmp merical KDV eqaio by he Adomia decomposiio mehod Adi B Sedra Uiversié Ib Toail Faclé des Scieces
Let s express the absorption of radiation by dipoles as a dipole correlation function.
MIT Deparme of Chemisry 5.74, Sprig 004: Iroducory Quaum Mechaics II Isrucor: Prof. Adrei Tokmakoff p. 81 Time-Correlaio Fucio Descripio of Absorpio Lieshape Le s express he absorpio of radiaio by dipoles
CHAPTER 2. Problem 2.1. Given: m k = k 1. Determine the weight of the table sec (b)
CHPTER Problem. Give: m T π 0. 5 sec (a) T m 50 g π. Deermie he weigh of he able. 075. sec (b) Taig he raio of Eq. (b) o Eq. (a) ad sqarig he resl gives or T T mg m 50 g m 50 5. 40 lbs 50 0.75. 5 m g 0.5.
Stochastic Structural Dynamics. Lecture-32. Probabilistic methods in earthquake engineering-1
Sochasic Srucural Dyamics Lecure-3 Probabilisic mehods i earhquake eieeri- Dr C S Maohar Deparme of Civil Eieeri Professor of Srucural Eieeri Idia Isiue of Sciece Baalore 56 Idia maohar@civil.iisc.ere.i
Curvilinear Motion: Normal and Tangential Components
15 Crviliear Moio: Noral ad Tageial Copoe Ref: Hibbeler 1.7, Bedford & Fowler: Dyaic.3 Whe he pah of a paricle i kow, a - coordiae ye wih a origi a he locaio of he paricle (a a ia i ie) ca be helpfl i
Problems and Solutions for Section 3.2 (3.15 through 3.25)
3-7 Problems ad Soluios for Secio 3 35 hrough 35 35 Calculae he respose of a overdamped sigle-degree-of-freedom sysem o a arbirary o-periodic exciaio Soluio: From Equaio 3: x = # F! h "! d! For a overdamped
SUMMATION OF INFINITE SERIES REVISITED
SUMMATION OF INFINITE SERIES REVISITED I several aricles over he las decade o his web page we have show how o sum cerai iiie series icludig he geomeric series. We wa here o eed his discussio o he geeral
Chapter 11 Autocorrelation
Chaper Aocorrelaio Oe of he basic assmpio i liear regressio model is ha he radom error compoes or disrbaces are ideically ad idepedely disribed So i he model y = Xβ +, i is assmed ha σ if s = E (, s) =
ME 321 Kinematics and Dynamics of Machines S. Lambert Winter 2002
ME 31 Kiemaic ad Dyamic o Machie S. Lamber Wier 6.. Forced Vibraio wih Dampig Coider ow he cae o orced vibraio wih dampig. Recall ha he goverig diereial equaio i: m && c& k F() ad ha we will aume ha he
Chapter 9 Autocorrelation
Chaper 9 Aocorrelaio Oe of he basic assmpios i liear regressio model is ha he radom error compoes or disrbaces are ideically ad idepedely disribed So i he model y = Xβ +, i is assmed ha σ if s = E (, s)
Application examples and potential for explicit finite elements in the analysis of friction brakes
5h Eropea HTC i Bo Applicaio exaples ad poeial or explici iie elees i he aalysis o ricio brakes Jiasheg WANG Techical Aalysis & Silaios Korr-Brese Ss Geray Korr-Brese Grop Seie WANG R/LTA 5. Nov. 0 5h
UNIT 1: ANALYTICAL METHODS FOR ENGINEERS
UNIT : ANALYTICAL METHODS FOR ENGINEERS Ui code: A// QCF Level: Credi vale: OUTCOME TUTORIAL SERIES Ui coe Be able o aalyse ad model egieerig siaios ad solve problems sig algebraic mehods Algebraic mehods:
1.225J J (ESD 205) Transportation Flow Systems
.5J J ESD 5 Trasporaio Flow Sysems Lecre 3 Modelig Road Traffic Flow o a Li Prof. Ismail Chabii ad Prof. Amedeo Odoi Lecre 3 Olie Time-Space Diagrams ad Traffic Flow Variables Irodcio o Li Performace Models
Math 6710, Fall 2016 Final Exam Solutions
Mah 67, Fall 6 Fial Exam Soluios. Firs, a sude poied ou a suble hig: if P (X i p >, he X + + X (X + + X / ( evaluaes o / wih probabiliy p >. This is roublesome because a radom variable is supposed o be
ECE-314 Fall 2012 Review Questions
ECE-34 Fall 0 Review Quesios. A liear ime-ivaria sysem has he ipu-oupu characerisics show i he firs row of he diagram below. Deermie he oupu for he ipu show o he secod row of he diagram. Jusify your aswer.
Copyright 2005 by Adriana Hera ALL RIGHTS RESERVED
Copyrigh 5 by Adriaa Hera ALL RIGHTS RESERVED Absrac This disseraio proposes a vibraio-based approach o deec ad moior srcral damage by racig he isaaeos modal parameers. A chage i he isaaeos modal parameers
21. NONLINEAR ELEMENTS
21. NONLINEAR ELEMENTS Earhquake Reia Srucure Should Have a Limied Number o Noliear Eleme ha ca be Eail Ipeced ad Replaced aer a Major Earhquake. 21.1 INTRODUCTION { XE "Eerg:Eerg Diipaio Eleme" }{ XE
Three Point Bending Analysis of a Mobile Phone Using LS-DYNA Explicit Integration Method
9 h Ieraioal LS-DYNA Users Coerece Simulaio Techology (3) Three Poi Bedig Aalysis o a Mobile Phoe Usig LS-DYNA Explici Iegraio Mehod Feixia Pa, Jiase Zhu, Ai O. Helmie, Rami Vaaparas NOKIA Ic. Absrac I
Wave Equation! ( ) with! b = 0; a =1; c = c 2. ( ) = det ( ) = 0. α = ±c. α = 1 2a b ± b2 4ac. c 2. u = f. v = f x ; t c v. t u. x t. t x = 2 f.
Compuaioal Fluid Dyamics p://www.d.edu/~gryggva/cfd-course/ Compuaioal Fluid Dyamics Wave equaio Wave Equaio c Firs wrie e equaio as a sysem o irs order equaios Iroduce u ; v ; Gréar Tryggvaso Sprig yieldig
EGR 544 Communication Theory
EGR 544 Commuicaio heory 7. Represeaio of Digially Modulaed Sigals II Z. Aliyazicioglu Elecrical ad Compuer Egieerig Deparme Cal Poly Pomoa Represeaio of Digial Modulaio wih Memory Liear Digial Modulaio
SHOCK AND VIBRATION RESPONSE SPECTRA COURSE Unit 21 Base Excitation Shock: Classical Pulse
SHOCK AND VIBRAION RESPONSE SPECRA COURSE Ui 1 Base Exciaio Shock: Classical Pulse By om Irvie Email: omirvie@aol.com Iroucio Cosier a srucure subjece o a base exciaio shock pulse. Base exciaio is also
On The Geometrıc Interpretatıons of The Kleın-Gordon Equatıon And Solution of The Equation by Homotopy Perturbation Method
Available a hp://pvam.ed/aam Appl. Appl. Mah. SSN: 9-9466 Vol. 7, sse (December ), pp. 69-65 Applicaios ad Applied Mahemaics: A eraioal Joral (AAM) O The Geomerıc erpreaıos of The Kleı-Gordo Eqaıo Ad Solio
The modified Exp-function method and its applications to the generalized K(n,n) and BBM equations with variable coefficients
IJST () A3 (Special isse-mahemaics): 359-365 Iraia Joral of Sciece & Techology hp://www.shiraz.ac.ir/e The modified Ep-fcio mehod ad is applicaios o he geeralized K() ad BBM eqaios wih varile coefficies
Electrical Engineering Department Network Lab.
Par:- Elecrical Egieerig Deparme Nework Lab. Deermiaio of differe parameers of -por eworks ad verificaio of heir ierrelaio ships. Objecive: - To deermie Y, ad ABD parameers of sigle ad cascaded wo Por
The Solution of the One Species Lotka-Volterra Equation Using Variational Iteration Method ABSTRACT INTRODUCTION
Malaysia Joural of Mahemaical Scieces 2(2): 55-6 (28) The Soluio of he Oe Species Loka-Volerra Equaio Usig Variaioal Ieraio Mehod B. Baiha, M.S.M. Noorai, I. Hashim School of Mahemaical Scieces, Uiversii
ODEs II, Supplement to Lectures 6 & 7: The Jordan Normal Form: Solving Autonomous, Homogeneous Linear Systems. April 2, 2003
ODEs II, Suppleme o Lecures 6 & 7: The Jorda Normal Form: Solvig Auoomous, Homogeeous Liear Sysems April 2, 23 I his oe, we describe he Jorda ormal form of a marix ad use i o solve a geeral homogeeous
10.3 Autocorrelation Function of Ergodic RP 10.4 Power Spectral Density of Ergodic RP 10.5 Normal RP (Gaussian RP)
ENGG450 Probabiliy ad Saisics for Egieers Iroducio 3 Probabiliy 4 Probabiliy disribuios 5 Probabiliy Desiies Orgaizaio ad descripio of daa 6 Samplig disribuios 7 Ifereces cocerig a mea 8 Comparig wo reames
Renovation explicit dynamic procedures by application of Trujillo algorithm
Ieraioal Joural of he Physical Scieces Vol. 6(), pp. 55-66, Jauary, 0 Available olie a hp://www.academicjourals.org/ijps ISSN 99-950 0 Academic Jourals Full egh Research Paper Reovaio eplici dyamic procedures
Structural Dynamics and Earthquake Engineering
Srucural Dynamics and Earhquae Engineering Course 1 Inroducion. Single degree of freedom sysems: Equaions of moion, problem saemen, soluion mehods. Course noes are available for download a hp://www.c.up.ro/users/aurelsraan/
METHOD OF THE EQUIVALENT BOUNDARY CONDITIONS IN THE UNSTEADY PROBLEM FOR ELASTIC DIFFUSION LAYER
Maerials Physics ad Mechaics 3 (5) 36-4 Received: March 7 5 METHOD OF THE EQUIVAENT BOUNDARY CONDITIONS IN THE UNSTEADY PROBEM FOR EASTIC DIFFUSION AYER A.V. Zemsov * D.V. Tarlaovsiy Moscow Aviaio Isiue
Solutions Manual 4.1. nonlinear. 4.2 The Fourier Series is: and the fundamental frequency is ω 2π
Soluios Maual. (a) (b) (c) (d) (e) (f) (g) liear oliear liear liear oliear oliear liear. The Fourier Series is: F () 5si( ) ad he fudameal frequecy is ω f ----- H z.3 Sice V rms V ad f 6Hz, he Fourier
Harmonic excitation (damped)
Harmoic eciaio damped k m cos EOM: m&& c& k cos c && ζ & f cos The respose soluio ca be separaed io par;. Homogeeous soluio h. Paricular soluio p h p & ζ & && ζ & f cos Homogeeous soluio Homogeeous soluio
Four equations describe the dynamic solution to RBC model. Consumption-leisure efficiency condition. Consumption-investment efficiency condition
LINEARIZING AND APPROXIMATING THE RBC MODEL SEPTEMBER 7, 200 For f( x, y, z ), mulivariable Taylor liear expasio aroud ( x, yz, ) f ( x, y, z) f( x, y, z) + f ( x, y, z)( x x) + f ( x, y, z)( y y) + f
LINEAR APPROXIMATION OF THE BASELINE RBC MODEL SEPTEMBER 17, 2013
LINEAR APPROXIMATION OF THE BASELINE RBC MODEL SEPTEMBER 7, 203 Iroducio LINEARIZATION OF THE RBC MODEL For f( xyz,, ) = 0, mulivariable Taylor liear expasio aroud f( xyz,, ) f( xyz,, ) + f( xyz,, )( x
New Applications of Adomian Decomposition Method. Emad A. Az-Zo'bi
Middle-Eas Joral of Scieific Research (): 75-7 5 ISSN 99-9 IDOSI Pblicaios 5 DOI:.589/idosi.mejsr.5... New Applicaios of Adomia Decomposiio Mehod Emad A. Az-Zo'bi Deparme of Mahemaics ad Saisics Mah Uiversiy
The Eigen Function of Linear Systems
1/25/211 The Eige Fucio of Liear Sysems.doc 1/7 The Eige Fucio of Liear Sysems Recall ha ha we ca express (expad) a ime-limied sigal wih a weighed summaio of basis fucios: v ( ) a ψ ( ) = where v ( ) =
DIFFERENCE EQUATIONS
DIFFERECE EQUATIOS Lier Cos-Coeffiie Differee Eqios Differee Eqios I disree-ime ssems, esseil feres of ip d op sigls pper ol speifi iss of ime, d he m o e defied ewee disree ime seps or he m e os. These
FIXED FUZZY POINT THEOREMS IN FUZZY METRIC SPACE
Mohia & Samaa, Vol. 1, No. II, December, 016, pp 34-49. ORIGINAL RESEARCH ARTICLE OPEN ACCESS FIED FUZZY POINT THEOREMS IN FUZZY METRIC SPACE 1 Mohia S. *, Samaa T. K. 1 Deparme of Mahemaics, Sudhir Memorial
1 Notes on Little s Law (l = λw)
Copyrigh c 26 by Karl Sigma Noes o Lile s Law (l λw) We cosider here a famous ad very useful law i queueig heory called Lile s Law, also kow as l λw, which assers ha he ime average umber of cusomers i
Optimization of Rotating Machines Vibrations Limits by the Spring - Mass System Analysis
Joural of aerials Sciece ad Egieerig B 5 (7-8 (5 - doi: 765/6-6/57-8 D DAVID PUBLISHING Opimizaio of Roaig achies Vibraios Limis by he Sprig - ass Sysem Aalysis BENDJAIA Belacem sila, Algéria Absrac: The
Ideal Amplifier/Attenuator. Memoryless. where k is some real constant. Integrator. System with memory
Liear Time-Ivaria Sysems (LTI Sysems) Oulie Basic Sysem Properies Memoryless ad sysems wih memory (saic or dyamic) Causal ad o-causal sysems (Causaliy) Liear ad o-liear sysems (Lieariy) Sable ad o-sable
MODERN CONTROL SYSTEMS
MODERN CONTROL SYSTEMS Lecure 9, Sae Space Repreeaio Emam Fahy Deparme of Elecrical ad Corol Egieerig email: emfmz@aa.edu hp://www.aa.edu/cv.php?dip_ui=346&er=6855 Trafer Fucio Limiaio TF = O/P I/P ZIC
Chapter 2: Time-Domain Representations of Linear Time-Invariant Systems. Chih-Wei Liu
Caper : Time-Domai Represeaios of Liear Time-Ivaria Sysems Ci-Wei Liu Oulie Iroucio Te Covoluio Sum Covoluio Sum Evaluaio Proceure Te Covoluio Iegral Covoluio Iegral Evaluaio Proceure Iercoecios of LTI
VARIATIONAL ITERATION METHOD: A COMPUTATIONAL TOOL FOR SOLVING COUPLED SYSTEM OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
Joral of Sciece a Ars Year 6 No. 336 pp. 43-48 6 ORIGINAL PAPER ARIATIONAL ITERATION METHOD: A COMPTATIONAL TOOL FOR SOLING COPLED SYSTEM OF NONLINEAR PARTIAL DIFFERENTIAL EQATIONS MORF OYEDNSI OLAYIOLA
LINEAR APPROXIMATION OF THE BASELINE RBC MODEL JANUARY 29, 2013
LINEAR APPROXIMATION OF THE BASELINE RBC MODEL JANUARY 29, 203 Iroducio LINEARIZATION OF THE RBC MODEL For f( x, y, z ) = 0, mulivariable Taylor liear expasio aroud f( x, y, z) f( x, y, z) + f ( x, y,
Program: RFEM 5, RSTAB 8, RF-DYNAM Pro, DYNAM Pro. Category: Isotropic Linear Elasticity, Dynamics, Member
Verificaion Example Program: RFEM 5, RSTAB 8, RF-DYNAM Pro, DYNAM Pro Caegory: Isoropic Linear Elasiciy, Dynamics, Member Verificaion Example: 0104 Canilever Beam wih Periodic Exciaion 0104 Canilever Beam
CS623: Introduction to Computing with Neural Nets (lecture-10) Pushpak Bhattacharyya Computer Science and Engineering Department IIT Bombay
CS6: Iroducio o Compuig ih Neural Nes lecure- Pushpak Bhaacharyya Compuer Sciece ad Egieerig Deparme IIT Bombay Tilig Algorihm repea A kid of divide ad coquer sraegy Give he classes i he daa, ru he percepro
6/10/2014. Definition. Time series Data. Time series Graph. Components of time series. Time series Seasonal. Time series Trend
6//4 Defiiio Time series Daa A ime series Measures he same pheomeo a equal iervals of ime Time series Graph Compoes of ime series 5 5 5-5 7 Q 7 Q 7 Q 3 7 Q 4 8 Q 8 Q 8 Q 3 8 Q 4 9 Q 9 Q 9 Q 3 9 Q 4 Q Q
DYNAMIC VEHICLE-TRACK- STRUCTURE INTERACTION ANALYSIS USING LAGRANGE MULTIPLIERS
Isaul Bridge Coferece Augus 11-13, 014 Isaul, Turkey DYNAMIC VEHICLE-TRACK- STRUCTURE INTERACTION ANALYSIS USING LAGRANGE MULTIPLIERS M. V. Sivaselva 1, Joshua Tauerer ad Ali D. Karakapla 3 ABSTRACT I
3. MDOF Systems: Modal Spectral Analysis
3. MDOF Systems: Modal Spectral Analysis Lesson Objectives: 1) Construct response spectra for an arbitrarily varying excitation. 2) Compute the equivalent lateral force, base shear, and overturning moment
In this document, if A:
m I this docmet, if A: is a m matrix, ref(a) is a row-eqivalet matrix i row-echelo form sig Gassia elimiatio with partial pivotig as described i class. Ier prodct ad orthogoality What is the largest possible
λiv Av = 0 or ( λi Av ) = 0. In order for a vector v to be an eigenvector, it must be in the kernel of λi
Liear lgebra Lecure #9 Noes This week s lecure focuses o wha migh be called he srucural aalysis of liear rasformaios Wha are he irisic properies of a liear rasformaio? re here ay fixed direcios? The discussio
5.74 Introductory Quantum Mechanics II
MIT OpeCourseWare hp://ocw.mi.edu 5.74 Iroducory Quaum Mechaics II Sprig 009 For iformaio aou ciig hese maerials or our Terms of Use, visi: hp://ocw.mi.edu/erms. drei Tokmakoff, MIT Deparme of Chemisry,
Big O Notation for Time Complexity of Algorithms
BRONX COMMUNITY COLLEGE of he Ciy Uiversiy of New York DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE CSI 33 Secio E01 Hadou 1 Fall 2014 Sepember 3, 2014 Big O Noaio for Time Complexiy of Algorihms Time
Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia
- 9 Dyamic model of large amplide vibraio of a iform cailever beam carryig a iermediae lmped mass ad roary ieria bsrac I his paper, a mahemaical model of large amplide vibraio of a iform cailever beam
Hadamard matrices from the Multiplication Table of the Finite Fields
adamard marice from he Muliplicaio Table of he Fiie Field 신민호 송홍엽 노종선 * Iroducio adamard mari biary m-equece New Corucio Coe Theorem. Corucio wih caoical bai Theorem. Corucio wih ay bai Remark adamard
Comparison between Fourier and Corrected Fourier Series Methods
Malaysia Joural of Mahemaical Scieces 7(): 73-8 (13) MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES Joural homepage: hp://eispem.upm.edu.my/oural Compariso bewee Fourier ad Correced Fourier Series Mehods 1
Calculus BC 2015 Scoring Guidelines
AP Calculus BC 5 Scorig Guidelies 5 The College Board. College Board, Advaced Placeme Program, AP, AP Ceral, ad he acor logo are regisered rademarks of he College Board. AP Ceral is he official olie home
VISCOSITY APPROXIMATION TO COMMON FIXED POINTS OF kn- LIPSCHITZIAN NONEXPANSIVE MAPPINGS IN BANACH SPACES
Joral o Maheaical Scieces: Advaces ad Alicaios Vole Nber 9 Pages -35 VISCOSIY APPROXIMAION O COMMON FIXED POINS OF - LIPSCHIZIAN NONEXPANSIVE MAPPINGS IN BANACH SPACES HONGLIANG ZUO ad MIN YANG Deare o
International journal of Engineering Research-Online A Peer Reviewed International Journal Articles available online
Ieraioal joral of Egieerig Reearch-Olie Peer Reviewed Ieraioal Joral ricle available olie h://www.ijoer.i Vol.1. Ie.4. 01 RESERCH RTICLE ON TERNRY QUDRTIC EQUTION M..GOPLN S.VIDHYLKSHMI S.NIVETHITH Dearme
Linear Transient Analysis of Laminated Composite Plates using GLPT
Aca Techica apocesis: Civil Egieerig & Archiecure Vol. 56, o. (13) Joural homepage: hp://cosrucii.ucluj.ro/acacivileg Special ssue: Firs eraioal Coferece for PhD Sudes i Civil Egieerig, CE-PhD 1. Liear
2C09 Design for seismic and climate changes
C9 Desig for seismic ad climate chages Lecture 3: Dyamic respose of sigle-degree-of-freedom systems II Daiel Grecea, Politehica Uiversity of Timisoara 11/3/14 Europea Erasmus Mudus Master Course Sustaiable
A Note on Integral Transforms and Differential Equations
Malaysia Joral of Mahemaical Scieces 6(S): -8 () Special Ediio of Ieraioal Workshop o Mahemaical Aalysis (IWOMA) A Noe o Iegral Trasforms ad Differeial Eqaios, Adem Kilicma, 3 Hassa Elayeb ad, Ma Rofa
An Efficient Method to Reduce the Numerical Dispersion in the HIE-FDTD Scheme
Wireless Egieerig ad Techolog, 0,, 30-36 doi:0.436/we.0.005 Published Olie Jauar 0 (hp://www.scirp.org/joural/we) A Efficie Mehod o Reduce he umerical Dispersio i he IE- Scheme Jua Che, Aue Zhag School
CONTACT BETWEEN FLEXIBLE BODIES IN NONLINEAR ANALYSIS, USING LAGRANGE MULTIPLIERS
COAC BEWEE FLEXIBLE BODIES I OLIEAR AALYSIS, USIG LAGRAGE MULIPLIERS Dr. Phillipe Jeeur Philippe.jeeur@samcef.com Samech, Parc Scieifiue du Sar-ilma Rue des Chasseurs Ardeais, 8 B-403 Agleur-Liège, Belgium
Four equations describe the dynamic solution to RBC model. Consumption-leisure efficiency condition. Consumption-investment efficiency condition
LINEAR APPROXIMATION OF THE BASELINE RBC MODEL FEBRUARY, 202 Iroducio For f(, y, z ), mulivariable Taylor liear epasio aroud (, yz, ) f (, y, z) f(, y, z) + f (, y, z)( ) + f (, y, z)( y y) + f (, y, z)(
Section 8 Convolution and Deconvolution
APPLICATIONS IN SIGNAL PROCESSING Secio 8 Covoluio ad Decovoluio This docume illusraes several echiques for carryig ou covoluio ad decovoluio i Mahcad. There are several operaors available for hese fucios:
On Numerical Solutions of Two-Dimensional Boussinesq Equations by Using Adomian Decomposition and He's Homotopy Perturbation Method
Available a hp://pvam.ed/aam Appl. Appl. Mah. ISSN: 93-9466 Special Isse No. (Ags ) pp. Applicaios ad Applied Mahemaics: A Ieraioal Joral (AAM) O Nmerical Solios of Two-Dimesioal Bossiesq Eqaios by Usig
Administrivia. Administrivia. Visual motion. CMPSCI 370: Intro. to Computer Vision. Optical flow
Admiisriia Fial eam: Thrsda, Ma 5, -3pm, Hasbrock 3 Reiew sessio poll Thrsda, April 8, 4-5pm, Locaio: TDB Tesda, Ma 3, 4-5pm, Locaio: TDB CMPSC 370: ro. o Comper Visio Reiew oes are posed o Moodle Opical
2C09 Design for seismic and climate changes
2C09 Desig for seismic ad climate chages Lecture 02: Dyamic respose of sigle-degree-of-freedom systems I Daiel Grecea, Politehica Uiversity of Timisoara 10/03/2014 Europea Erasmus Mudus Master Course Sustaiable
F D D D D F. smoothed value of the data including Y t the most recent data.
Module 2 Forecasig 1. Wha is forecasig? Forecasig is defied as esimaig he fuure value ha a parameer will ake. Mos scieific forecasig mehods forecas he fuure value usig pas daa. I Operaios Maageme forecasig
ECE 570 Session 7 IC 752-E Computer Aided Engineering for Integrated Circuits. Transient analysis. Discuss time marching methods used in SPICE
ECE 570 Sessio 7 IC 75-E Compuer Aided Egieerig for Iegraed Circuis Trasie aalysis Discuss ime marcig meods used i SPICE. Time marcig meods. Explici ad implici iegraio meods 3. Implici meods used i circui
3. Mathematical Properties of MDOF Systems
3. Mathematical Properties of MDOF Systems 3.1 The Generalized Eigenvalue Problem Recall that the natural frequencies ω and modes a are found from [ - ω 2 M + K ] a = 0 or K a = ω 2 M a Where M and K are
INTEGER INTERVAL VALUE OF NEWTON DIVIDED DIFFERENCE AND FORWARD AND BACKWARD INTERPOLATION FORMULA
Volume 8 No. 8, 45-54 ISSN: 34-3395 (o-lie versio) url: hp://www.ijpam.eu ijpam.eu INTEGER INTERVAL VALUE OF NEWTON DIVIDED DIFFERENCE AND FORWARD AND BACKWARD INTERPOLATION FORMULA A.Arul dass M.Dhaapal
PI3B
234789023478902347890223478902347890234789022347890234789023478902234789023478902347890223478902 Feaures Near-Zero propagaio delay -ohm swiches coec ipus o oupus Fas Swichig Speed - 4s max Permis Ho Iserio
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani Pilani Campus
First Semester 2017-2018 Instruction Division Course Handout (Part II) Date: 02/08/2017 In addition to Part I (General Handout for all courses appended to the Time Table), this portion gives further specific
INVESTMENT PROJECT EFFICIENCY EVALUATION
368 Miljeko Crjac Domiika Crjac INVESTMENT PROJECT EFFICIENCY EVALUATION Miljeko Crjac Professor Faculy of Ecoomics Drsc Domiika Crjac Faculy of Elecrical Egieerig Osijek Summary Fiacial efficiecy of ivesme
DYNAMIC ANALYSIS OF BEAM-LIKE STRUCTURES SUBJECT TO MOVING LOADS
DYNAMIC ANALYSIS OF BEAM-LIKE STRUCTURES SUBJECT TO MOVING LOADS Ivaa Štimac 1, Ivica Kožar 1 M.Sc,Assistat, Ph.D. Professor 1, Faculty of Civil Egieerig, Uiverity of Rieka, Croatia INTRODUCTION The vehicle-iduced
6.003: Signal Processing Lecture 1 September 6, 2018
63: Sigal Processig Workig wih Overview of Subjec : Defiiios, Eamples, ad Operaios Basis Fucios ad Trasforms Welcome o 63 Piloig a ew versio of 63 focused o Sigal Processig Combies heory aalysis ad syhesis
PLASTIC BUCKLING OF SSSS THIN RECTANGULAR PLATES SUBJECTED TO UNIAXIAL COMPRESSION USING TAYLOR-MACLAURIN SHAPE FUNCTION
I. J. Sruc. & Civil Egg. es. 013 U G Eziefula e al., 013 esearch Paper ISSN 319 6009 www.ijscer.co Vol., No., Noveer 013 013 IJSCE. All ighs eserved PLASTIC BUCKLING OF SSSS THIN ECTANGULA PLATES SUBJECTED
6.003: Signal Processing Lecture 2a September 11, 2018
6003: Sigal Processig Buildig Block Sigals represeig a sigal as a sum of simpler sigals represeig a sample as a sum of samples from simpler sigals Remiders From Las Time Piloig a ew versio of 6003 focused
Spectral Simulation of Turbulence. and Tracking of Small Particles
Specra Siuaio of Turbuece ad Trackig of Sa Parices Hoogeeous Turbuece Saisica ie average properies RMS veociy fucuaios dissipaio rae are idepede of posiio. Hoogeeous urbuece ca be odeed wih radoy sirred
BEST LINEAR FORECASTS VS. BEST POSSIBLE FORECASTS
BEST LINEAR FORECASTS VS. BEST POSSIBLE FORECASTS Opimal ear Forecasig Alhough we have o meioed hem explicily so far i he course, here are geeral saisical priciples for derivig he bes liear forecas, ad
HYPOTHESIS TESTING. four steps
Irodcio o Saisics i Psychology PSY 20 Professor Greg Fracis Lecre 24 Correlaios ad proporios Ca yo read my mid? Par II HYPOTHESIS TESTING for seps. Sae he hypohesis. 2. Se he crierio for rejecig H 0. 3.
A Two-Level Quantum Analysis of ERP Data for Mock-Interrogation Trials. Michael Schillaci Jennifer Vendemia Robert Buzan Eric Green
A Two-Level Quaum Aalysis of ERP Daa for Mock-Ierrogaio Trials Michael Schillaci Jeifer Vedemia Rober Buza Eric Gree Oulie Experimeal Paradigm 4 Low Workload; Sigle Sessio; 39 8 High Workload; Muliple
Review Exercises for Chapter 9
0_090R.qd //0 : PM Page 88 88 CHAPTER 9 Ifiie Series I Eercises ad, wrie a epressio for he h erm of he sequece..,., 5, 0,,,, 0,... 7,... I Eercises, mach he sequece wih is graph. [The graphs are labeled
( ) ( ) ( ) ( ) (b) (a) sin. (c) sin sin 0. 2 π = + (d) k l k l (e) if x = 3 is a solution of the equation x 5x+ 12=
Eesio Mahemaics Soluios HSC Quesio Oe (a) d 6 si 4 6 si si (b) (c) 7 4 ( si ).si +. ( si ) si + 56 (d) k + l ky + ly P is, k l k l + + + 5 + 7, + + 5 9, ( 5,9) if is a soluio of he equaio 5+ Therefore
A THREE-DIMENSIONAL SECTOR MODEL FOR SOLID FLOW IN A BLAST FURNACE GEOMETRY
A THREE-DIMENSIONAL SECTOR MODEL FOR SOLID FLOW IN A BLAST FURNACE GEOMETRY W.J. Yag 1) Z.Y. Zhou 1) A.B. Yu 1) ad D. Piso ) 1 Laboraory for Simulaio ad Modellig of Pariculae Sysems School of Maerials
PI3B V, 16-Bit to 32-Bit FET Mux/DeMux NanoSwitch. Features. Description. Pin Configuration. Block Diagram.
33V, 6-Bi o 32-Bi FET Mux/DeMux NaoSwich Feaures -ohm Swich Coecio Bewee Two Pors Near-Zero Propagaio Delay Fas Swichig Speed: 4s (max) Ulra -Low Quiesce Power (02mA yp) Ideal for oebook applicaios Idusrial
ON THE NONLINEAR RESONANCE WAVE INTERACTION
U.P.B. Sci. Bull., Series, Vol. 7, Iss. 3, ISSN 3-77 ON THE NONLINER RESONNCE WVE INTERCTION Pere P.TEODORESCU, Veuria CHIROIU ceasă lucrare sudiază ieracţiuea diamică a uei o bare lieare dispersive aşezaă
6.003 Homework #5 Solutions
6. Homework #5 Soluios Problems. DT covoluio Le y represe he DT sigal ha resuls whe f is covolved wih g, i.e., y[] = (f g)[] which is someimes wrie as y[] = f[] g[]. Deermie closed-form expressios for
dw 2 3(w) x 4 x 4 =L x 3 x 1 =0 x 2 El #1 El #2 El #3 Potential energy of element 3: Total potential energy Potential energy of element 1:
MAE 44 & CIV 44 Introduction to Finite Elements Reading assignment: ecture notes, ogan. Summary: Pro. Suvranu De Finite element ormulation or D elasticity using the Rayleigh-Ritz Principle Stiness matri
Union-Find Partition Structures Goodrich, Tamassia Union-Find 1
Uio-Fid Pariio Srucures 004 Goodrich, Tamassia Uio-Fid Pariios wih Uio-Fid Operaios makesex: Creae a sileo se coaii he eleme x ad reur he posiio sori x i his se uioa,b : Reur he se A U B, desroyi he old
Principles of Communications Lecture 1: Signals and Systems. Chih-Wei Liu 劉志尉 National Chiao Tung University
Priciples of Commuicaios Lecure : Sigals ad Sysems Chih-Wei Liu 劉志尉 Naioal Chiao ug Uiversiy cwliu@wis.ee.cu.edu.w Oulies Sigal Models & Classificaios Sigal Space & Orhogoal Basis Fourier Series &rasform