Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid

GAO Qiang; LIN Jia-hao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(6): 723-733

GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.

Citation:

GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.

Citation:

GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.

PDF( 432 KB)

Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P. R. China

Received Date: 2004-01-08
Rev Recd Date: 2004-12-06
Publish Date: 2005-06-15

Abstract

Abstract

Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated.The solid was considered multi-layered and located above the bedrock,which was assumed to be much stiffer than the soil,and the power spectrum density of the stationary random excitation was given at the bedrock.The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations (ODEs) must be solved.The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs.Thereafter,the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.
- layered material,
- precise integration,
- pseudo-excitation method,
- wave propagation,
- random vibration

FullText(HTML)

References(28)

References

[1]	Ewing W M,Jardetzky W S,Press F.Elastic Waves in Layered Media[M].New York: McGral-Hill,1957.
[2]	Brekhovskikh L M.Waves in Layered Media[M].New York:Academic Press, 1980.
[3]	Aki K, Richards P G.Quantitative Seismology[M].San Francisco: W H Freeman and Company, 1980.
[4]	Timoshenko S P,Goodier J N.Theory of Elasticity[M].New York:McGraw-Hill, 1951.
[5]	Graff K F.Wave Motion in Elastic Solids[M].Oxford: Clarendon Press,1975.
[6]	Achenback J D.Wave Propagation in Elastic Solids[M].Amsterdam:the North-Holland,1973.
[7]	Doyle J F.Wave Propagation in Structures[M].New York: Springer, 1989.
[8]	Rizzi S A,Doyle J F.Spectral analysis of wave motion in plane solids with boundaries[J].Trans ASME Journal of Vibration and Acoustics,1992,114(2):133—140. doi: 10.1115/1.2930241
[9]	Rizzi S A,Doyle J F.Spectral element approach to wave motion in layered solids[J].Trans ASME Journal of Vibration and Acoustics,1992,114(4):569—577. doi: 10.1115/1.2930300
[10]	Alshaikh I A B U,Turhan D,Mengi Y. Two-dimensional transient wave propagation in viscoelastic layered media[J].Journal of Sound and Vibration,2001,244(5):837—858. doi: 10.1006/jsvi.2000.3532
[11]	Gulyayev V I,Lugovyy P Z,Ivanchenko G M. Discontinuous wave fronts propagation in anisotropic layered media[J].International Journal of Solids and Structures,2003,40(1):237—247. doi: 10.1016/S0020-7683(02)00517-6
[12]	Verma K L.On the propagation of waves in layered anisotropic media in generalized thermoelasticity[J].International Journal of Engineering Science,2002,40(20):2077—2096. doi: 10.1016/S0020-7225(02)00030-7
[13]	Caviglia G, Morro A. Reflection and transmission in anisotropic dissipative multilayers[J].European Journal of Mechanics A/Solids,2002,21(16):1055—1067. doi: 10.1016/S0997-7538(02)01252-4
[14]	Caviglia G, Morro A. Riccati equations for wave propagation in planarly-stratified solids[J].European Journal of Mechanics A/Solids,2000,19(4):721—741. doi: 10.1016/S0997-7538(00)00179-0
[15]	Caviglia G, Morro A. Wave propagation in multilayered anisotropic solids[J].International Journal of Engineering Science,2000,38(8):847—863. doi: 10.1016/S0020-7225(99)00062-2
[16]	Thomson C J.Modelling surface waves in anisotropic structures—Ⅰ:Theory[J].Physics of Earth and Planetary Interiors,1997,103(3):195—206. doi: 10.1016/S0031-9201(97)00033-2
[17]	ZHANG Jian-feng,LI You-ming.Numerical simulation of elastic wave propagation in inhomogeneous media[J].Wave Motion,1997,25(12):109—125. doi: 10.1016/S0165-2125(96)00022-4
[18]	Vashishth A K,Khurana P. Inhomogeneous waves in anisotropic porous layered overlying solid bedrock[J].Journal of Sound and Vibration,2002,258(4):577—594. doi: 10.1006/jsvi.2002.5175
[19]	Khoury R A L,Scarpas A, Kasbergen C,et al. Spectral element technique for effecient parameter identification of layered media—Part Ⅲ:Viscoelastic aspects[J].International Journal of Solids and Structures,2002,39(8):2189—2201. doi: 10.1016/S0020-7683(02)00079-3
[20]	Khoury R A L,Kasbergen C, Scarpas A,et al.Poroelastic spectral element for wave propagation and parameter identification in multi-layer systems[J].International Journal of Solids and Structures,2002,39(15):4073—4091. doi: 10.1016/S0020-7683(02)00260-3
[21]	ZHONG Wan-xie. The method of precise integration of finite strip and wave guide problems[A].In:Lee P K K, Tham L G,Cheung Y K Eds.Proceeding of International Conference on Computational Methods in Structural and Geotechnical Engineering[C].Hong Kong: China Translation & Printing Services Ltd,1994,51—59.
[22]	LIN Jia-hao.A fast CQC algorithm of PSD matrices for random seismic responses[J].Computers and Structures,1992,44(3):683—687. doi: 10.1016/0045-7949(92)90401-K
[23]	LIN Jia-hao,Williams F W,ZHANG Wen-shou.A new approach to multiphase-excitation stochastic seismic response[J].Microcomputers in Civil Engineering,1993,8(4):283—290.
[24]	Williams F W,Bennett P N,LIN Jia-hao.Localization investigation of stationary random wave transmission along damped ordered structural chains[J].Proc Inst Mech Engrs,Part C,1997,211:217—228. doi: 10.1243/0954406971521791
[25]	LIN Jia-hao,FAN Yue,Bennett P N,et al.Propagation of stationary random waves along substructural chains[J].Journal of Vibration and Acoustics,1995,180(5):757—767.
[26]	LIN Jia-hao,ZHANG Wen-shou,LI Jian-jun.Structural responses to arbitrarily coherent stationary random excitations[J].Computers and Structures,1994,50(5):629—633. doi: 10.1016/0045-7949(94)90422-7
[27]	Kennett B L N.Seismic Wave Propagation in Stratified Media[M].Cambridge: Cambridge University Press, 1983.
[28]	钟万勰.应用力学对偶体系[M]. 北京：科学出版社，2002.