全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
工程力学  2015 

基于Boer多孔介质理论的饱和半空间上刚性圆板基础竖向振动特性研究

DOI: 10.6052/j.issn.1000-4750.2014.04.0267, PP. 145-153

Keywords: 刚性圆板基础,竖向振动,饱和半空间,Boer多孔介质理论,Hankel积分变换,黏弹性

Full-Text   Cite this paper   Add to My Lib

Abstract:

针对饱和黏弹性半空间地基上刚性圆板基础竖向振动问题,基于Boer多孔介质动力控制方程组,应用Hankel积分变换技术并结合基础与地基土接触面混合边值条件,推导求解相关方程得到了饱和黏弹性半空间地基上刚性圆板基础的竖向动力阻抗以及振幅放大系数公式。在此基础上进一步通过数值算例对比分析探讨了液固耦合系数、基础质量比、地基土黏滞阻尼系数对所得基础竖向动力阻抗及振幅放大系数的影响规律。解析推导得出的对应竖向动力阻抗三维精确解不但丰富了基础振动理论,还可为相关工程实践提供参考和理论支持。

References

[1]  Nobili A, Radi E, Lanzoni L. A cracked infinite kirchhoff plate supported by a two-parameter elastic foundation [J]. Journal of the European Ceramic Society, 2014, 34(11): 2737―2744.
[2]  Chen Zongrui, Tho K K, Leung C F, et al. Influence of overburden pressure and soil rigidity on uplift behavior of square plate anchor in uniform clay [J]. Computers and Geotechnics, 2013, 52(7): 71―81.
[3]  Auersch L. Response to harmonic wave excitation of finite or infinite elastic plates on a homogeneous or layered half-space [J]. Computers and Geotechnics, 2013, 51(6): 50―59.
[4]  Niroumand H, Kassim K A, Nazir R. The influence of soil reinforcement on the uplift response of symmetrical anchor plate embedded in sand [J]. Measurement, 2013, 46(8): 2608―2629.
[5]  王洪涛, 李术才, 王琦, 等. 非线性破坏准则下水平浅埋条形锚板抗拔承载力的极限分析[J]. 工程力学, 2014, 31(2): 131―138.
[6]  Wang Hongtao, Li Shucai, Wang Qi, et al. Limit analysis of ultimate pullout capacity of shallow horizontal strip anchor plate based on nonlinear failure criterion [J]. Engineering Mechanics, 2014, 31(2): 131―138. (in Chinese)
[7]  马龙祥, 刘维宁, 刘卫丰. 移动谐振荷载作用下浮置板轨道的动力响应[J]. 工程力学, 2012, 29(12): 334―341.
[8]  Ma Longxiang, Liu Weining, Liu Weifeng. Dynamic response of floating slab track due to a harmonic moving load [J]. Engineering Mechanics, 2012, 29(12): 334―341. (in Chinese)
[9]  Halpern M R, Christiano P. Steady state response of a rigid plate bearing on a liquid-saturated poroelastic halfspace [J]. Earth Engineering Structure Dynamic, 1986, 14(3): 439―454.
[10]  Kassir M K, Xu J. Interaction functions of a rigid strip bounded to saturated elastic half-space [J]. International Journal of Solids and Structures, 1988, 24(9): 915―936.
[11]  Philippacopoulous A J. Axisymmetric vibration of disk resting on saturated layered half-space [J]. Journal of Engineering Mechanics, 1989, 115(10): 2301―2322.
[12]  金波, 徐植信. 多孔饱和半空间上刚体垂直振动的轴对称混合边值问题[J]. 力学学报, 1997, 29(6): 711―719.
[13]  Jin Bo, Xu Zhixin. The problem on axial symmetry mixed boundary value of vertical vibration of rigid body on porous saturated half space [J]. Acta Mechanica Sinica, 1997, 29(6): 711―719. (in Chinese)
[14]  陈龙珠, 陈胜立. 饱和地基上刚性基础的竖向振动分析[J]. 岩土工程学报, 1999, 21(4): 392―397.
[15]  Chen Longzhu, Chen Shengli. The analysis on vertical vibration of rigid foundation on saturated subsoil [J]. Chinese Journal of Geotechnical Engineering, 1999, 21(4): 392―397. (in Chinese)
[16]  陈龙珠, 陈胜立. 饱和地基上弹性圆板的动力响应[J]. 力学学报, 2001, 33(6): 821―827.
[17]  Chen Longzhu, Chen Shengli. Dynamic responses of elastic circular plate on saturated ground [J]. Acta Mechanica Sinica, 2001, 33(6): 821―827. (in Chinese)
[18]  陈胜立, 陈龙珠. 饱和地基上含刚核弹性圆板的竖向振动分析[J]. 力学学报, 2002, 34(1): 77―86.
[19]  Chen Shengli, Chen Longzhu. The analysis on vertical vibration of the elastic disk with rigid core on saturated subsoil [J]. Acta Mechanica Sinica, 2002, 34(1): 77―86. (in Chinese)
[20]  陈胜立, 张建民, 陈龙珠. 上覆单相弹性层的饱和地基上弹性圆板轴对称竖向振动分析[J]. 固体力学学报, 2003, 24(2): 215―220.
[21]  Chen Shengli, Zhang Jianmin, Chen Longzhu. Vertical vibration of a flexible circular plate resting on saturated layered halfspace [J]. Acta Mechanica Solid Sinica, 2003, 24(2): 215―220. (in Chinese)
[22]  付兵, 刘国华, 王振宇. 饱和地基上含刚核弹性圆板的摇摆振动分析[J]. 工程力学, 2006, 23(8): 79―85.
[23]  Fu Bing, Liu Guohua, Wang Zhenyu. Rocking vibrations of a flexible plate with rigid core on saturated ground [J]. Engineering Mechanics, 2006, 23(8): 79―85. (in Chinese)
[24]  吴大志, 张政伟, 徐长节, 等. 下卧基岩双层地基上刚性圆板的扭转振动[J]. 岩石力学与工程学报, 2005, 24(18): 3316―3321.
[25]  Wu Dazhi, Zhang Zhengwei, Xu Changjie, et al. Torsional vibration of a rigid circular plate resting on double-layered subgrade with rock substratum [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(18): 3316―3321. (in Chinese)
[26]  吴大志, 蔡袁强, 徐长节, 等. 横观各向同性饱和地基上刚性圆板的扭转振动[J]. 应用数学和力学, 2006, 27(11): 1349―1356.
[27]  Wu Dazhi, Cai Yuanqiang, Xu Changjie, et al. Torsional vibrations of a rigid circular plate on transversely isotropic saturated soil [J]. Applied Mathematics and Mechanics, 2006, 27(11): 1349―1356. (in Chinese)
[28]  蔡袁强, 吴大志, 徐长节, 等. 单层饱和地基上刚性圆板的扭转振动[J]. 哈尔滨工业大学学报, 2006, 38(4): 597―601.
[29]  Cai Yuanqiang, Wu Dazhi, Xu Changjie, et al. Torsional vibrations of a rigid disk on single-layered saturated soil [J]. Journal of Harbin Institute of Technology, 2006, 38(4): 597―601. (in Chinese)
[30]  徐斌, 陆建飞, 王建华, 等. 移动荷载作用下层状饱和地基土上无限板的动力响应[J]. 岩石力学与工程学报, 2007, 26(2): 4270―4275.
[31]  Xu Bin, Lu Jianfei, Wang Jianhua, et al. Dynamic reponses of infinite plate on layered poro-elastic subsoils subjected to moving loads [J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(2): 4270―4275. (in Chinese)
[32]  徐斌, 雷晓燕, 徐满清, 等. 移动荷载作用下饱和土体上筏板-上部结构的动力响应分析[J]. 岩土力学, 2011, 32(12): 3685―3692.
[33]  Xu Bin, Lei Xiaoyan, Xu Manqing, et al. Dynamic responses of raft-superstructure on saturated soil under moving load [J]. Rock and Soil Mechanics, 2011, 32(12): 3685―3692. (in Chinese)
[34]  黄义, 王小岗. 横观各向同性饱和地基中与中厚圆板的非轴对称动力相互作用[J]. 应用数学和力学, 2005, 26(9): 1045―1054.
[35]  Huang Yi, Wang Xiaogang. Dynamic interaction between elastic thick circular plate and transversely isotropic saturated soil ground [J]. Applied Mathematics and Mechanics, 2005, 26(9): 1045―1054. (in Chinese)
[36]  王小岗. 横观各向同性饱和地基上无限板的稳态振动[J]. 力学与实践, 2007, 29(1): 42―49.
[37]  Wang Xiaogang. The harmonic vibration of infinite plate on transversely isotropic saturated soil ground [J]. Mechanics in Engineering, 2007, 29(1): 42―49. (in Chinese)
[38]  王小岗. 层状横观各向同性饱和地基上圆板的非轴对称振动[J]. 应用数学和力学, 2007, 28(10): 1232―1244.
[39]  Wang Xiaogang. Non-axisymmetrical vibration of elastic circular plate on layered transversely isotropic saturated ground [J]. Applied Mathematics and Mechanics, 2007, 28(10): 1232―1244. (in Chinese)
[40]  王小岗. 横观各向同性饱和地基上中厚圆板的非轴对称振动[J]. 应用力学学报, 2007, 24(4): 566―572.
[41]  Wang Xiaogang. Non-axisymmetrical vibration of elastic thick circular plate on transversely isotropic saturated soil ground [J]. Chinese Journal of Applied Mechanics, 2007, 24(4): 566―572. (in Chinese)
[42]  Edelman I, Wilmanski K. Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces [J]. Continuum Mechanics and Thermodynamics, 2002, 14(1): 25―44.
[43]  Boer D R, Liu Zhanfang. Plane waves in a semi-infinite fluid saturated porous medium [J]. Transport in Porous Media, 1994, 16(2): 147―173.
[44]  Boer D R, Liu Zhanfang. Propagation of acceleration waves in incompressible saturated porous solids [J]. Transport in Porous Media, 1995, 21(2): 163―173.
[45]  Sneddon, Ian H. The use of integral transforms [M]. New York: McGraw-Hill Book Company, 1972: 1―539.
[46]  Tranter C J. On some dual integral equations occurring in potential problems with axial symmetry [J]. Quartly Journal of Mechanics and Applied Mathematics, 1950, 3(4): 411―419.
[47]  Nobel B. The solution of Bessel-function dual integral equations by a multiplying-factor method [J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1963, 59(2): 351―362.
[48]  Lysmer J, Rechart F E J. Dynamic response of footings to vertical loading [J]. Journal of the Soil Mechanics and Foundations Division, 1966, 92(1): 65―91.
[49]  Apsel R J, Luco J E. Impedance functions for foundations embedded in a layered medium: an integral equation approach [J]. Earthquake Engineering and Structural Dynamics, 1987, 15(2): 213―231.

Full-Text

Contact Us

[email protected]

QQ:3279437679

WhatsApp +8615387084133