三维粘弹性分层介质中平稳随机波的传播

高强; 林家浩

三维粘弹性分层介质中平稳随机波的传播

高强,
林家浩

大连理工大学工业装备结构分析国家重点实验室,辽宁大连 116023

基金项目: 国家自然科学基金资助项目(10472023);教育部高等学校博士学科点专项科研基金资助项目(20040141020)

详细信息

作者简介:
高强(1978- ),男,博士生(Tel:+86-411-84700230;E-mail:gaoqiang@student.dlut.edy.cn);林家浩(1941- ),男,教授,博士生导师(联系人.Tel+86-411-84709403;Fax:+86-411-84708400;E-mail:jilin@dlut.edu.cn).

中图分类号: TU352
计量
- 文章访问数: 3216
- HTML全文浏览量: 278
- PDF下载量: 485
- 被引次数: 0
出版历程
- 收稿日期: 2004-01-08
- 修回日期: 2004-12-06
- 刊出日期: 2005-06-15

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

摘要

摘要: 研究平稳随机波在粘弹性分层横观各向同性介质中的传播问题．将岩层考虑为分层介质，各层性质不同，岩层位于基岩上面，并且认为基岩比岩层刚很多，在基岩处给出随机激励．在频率和波数域中将控制方程化为常微分方程求解．对常微分方程，应用两点边值问题的精细积分法进行求解．因此，近年来发展的应用于结构随机振动的虚拟激励法可推广于当前分层岩层响应的计算．
- 分层介质 /
- 精细积分法 /
- 虚拟激励法 /
- 波传播 /
- 随机振动
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

HTML全文

参考文献(28)

[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.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 3216
HTML全文浏览量: 278
PDF下载量: 485
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

三维粘弹性分层介质中平稳随机波的传播

作者简介:
高强(1978- ),男,博士生(Tel:+86-411-84700230;E-mail:gaoqiang@student.dlut.edy.cn);林家浩(1941- ),男,教授,博士生导师(联系人.Tel+86-411-84709403;Fax:+86-411-84708400;E-mail:jilin@dlut.edu.cn).

计量

Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid

计量

目录

留言板

三维粘弹性分层介质中平稳随机波的传播

作者简介: 高强(1978- ),男,博士生(Tel:+86-411-84700230;E-mail:gaoqiang@student.dlut.edy.cn);林家浩(1941- ),男,教授,博士生导师(联系人.Tel+86-411-84709403;Fax:+86-411-84708400;E-mail:jilin@dlut.edu.cn).

计量

出版历程

Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid

计量

出版历程

目录

作者简介:
高强(1978- ),男,博士生(Tel:+86-411-84700230;E-mail:gaoqiang@student.dlut.edy.cn);林家浩(1941- ),男,教授,博士生导师(联系人.Tel+86-411-84709403;Fax:+86-411-84708400;E-mail:jilin@dlut.edu.cn).