Backcalculation Analysis of Pavement-layer Moduli Using Pattern Search Algorithms
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1 Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms Poje Repo fo ENCE 74 Feqan Lo May 7 005
2 Bakallaon Analyss of Pavemen-laye Modl Usng Paen Seah Algohms. Inodon. Ovevew of he Poje 3. Objeve of he Poje 4. Pavemen Model 5. Opmzaon Model 6. Implemenaon 7. Conlson 8. Poenal Lmaon and Fe Reseah
3 . Inodon Evalaon of exsng n-seve pavemen s mpoan n deemnaon of pavemen onson qaly and assessmen of ehablaon needs. wo possble mehods fo evalang he pavemen: (lab esng (nondesve esng (NDT fallng wegh defleomee (FWD
4 . Ovevew of he Poje Typal Flexble Pavemen Se Asphal Conee Base Sbbase/Sbgade
5 . Ovevew of he Poje Fallng Wegh Defleomee(FWD Tes D 0 D D D 3 D 4 D 5 D 6 Load Dsane Def le on Meased defleon Shema of Defleon Basn and Loadng Sensos Confgaon
6 3. Objeve of he Poje To develop an effeve mehod o bakallae he laye modl of pavemen fom he FWD defleon daa.
7 4. Pavemen Model Bas Model 0 h =0 Laye E υ ρ Δh h h Laye E υ ρ Δh h + h N Laye N E N υ N ρ N Δh N h N+ Z
8 4. Pavemen Model Govenng Eqaon Whee :dsplaemens of he h laye along he ; : dsplaemens of he h laye deon; dos ndae dffeenaon wh espe o me ; : dlaaonal wave veloy : shea wave veloy 0 ( = + Δ s s d 0 ( = + Δ w w z s s d ( z = ( z w w= z d s z + + = z w + + = Δ
9 4. Pavemen Model Solon fo Mlple laye Model wh Rok bed. ( [ ][ ] dq e d h h Z J Z q T z z ξ σ τ ψ ξ ξ π α α ( ~ ( ~ ( ( 0 + =
10 5. Opmzaon Model Model (onep model Dsplaemen Callaed dsplaemen Meased dsplaemen 3 ( E E E Dsplaemen vs me 3 Mn l m s.. E E E =3 m Whee s allaed dsplaemen m meased l dsplaemen E he modls fo h laye E he lowe bond of modls fo h laye and E he ppe bond of modls fo h laye.
11 5. Opmzaon Model Model (mahemaal model Dsplaemen Callaed dsplaemen Meased dsplaemen Dsplaemen vs me Mn k n = 0 n + n m ( E E E 3 ( m ( l s.. E E E =3 d
12 5. Opmzaon Model Model 3 (dsezed model Dsplaemen Callaed dsplaemen Meased dsplaemen 3 Mn N n = Dsplaemen vs me n + n m ( E E E 3 ( m ( l s.. E E E =3 N>>k. ( n+ - n s onsan. d
13 Dsplaemen 5. Opmzaon Model Model 4 (paal model Callaed dsplaemen Meased dsplaemen Dsplaemen vs me N m ( E E E ( 3 Mn Δ ( m n= 0 l s.. E E E =3 whee Δ = n = n s a onsan.
14 6. Implemenaon Poblem Saemen Mn s.. =3 Whee ( ( ( 3 0 Δ = E E E n m n m n N n l E E E ( [ ][ ] dq e d h h Z J E E E q T z z ξ σ τ ψ ξ ξ π α α ( ~ ( ~ ( ( =
15 6. Implemenaon Paen Seah Algohm As we an see he objeve fnon s vey omplaed and s gaden s no avalable. De seah s a mehod fo solvng opmzaon poblems ha does no eqe any nfomaon abo he gaden of he objeve fnon. A speal de seah mehod paen seah algohm s seleed o solve he poblem. Gene Algohm and De Seah Toolbox n Malab s adoped o pefom he opmzaon
16 6. Implemenaon Applaon of Paen Seah Algohm n Poje Geneae analyal dsplaemen vale Sa Pon (E 0 E 0 E 3 0 Colle FWD daa Analyal dsplaemen vale daabase Fom a mesh aond he en pon by addng he en pon o a sala mlple of a fxed se of veos all a paen Meased dsplaemen vale daabase Fnd a pon n he mesh ha mpoves he objeve fnon a en pon No Mee sop ea? Yes Op he esl Flow Cha of Opmzaon Poess
17 6. Implemenaon Opmzaon Resl Sa pon (E 0 E 0 E 0 3 = (4.600e e e+009 Opmal pon (E * E * E * 3 = (6.987e e e+009 * Opmal objeve fnon ( ε = 4.943e 0.
18 7. Conlson Usng me hsoy of pavemen esponses o deemne laye modl leads o moe pese oome. Paen seah algohm s poved o be vald and effeve n bakallaon of pavemen laye modl.
19 8. Poenal Lmaon and Fe Reseah The vefaon of he bakallaon sng paen seah algohm s no avalable n hs poje. In fe eseah seveal loaons shold be onsdeed and he weghs alloaed o dffeen loaons s o be sded.
20
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