计算力学学报2016,Vol.33Issue(2):165-170,6.DOI:10.7511/jslx201602005
列车荷载作用下黏弹性半空间体的随机动力响应
Dynamic response of viscoelastic half-space subjected to train loads
摘要
Abstract
To study the response of visco‐elastic half‐space induced by train loads is an important work . Using the pseudo‐excitation method ,the stochastic analysis of the system is transformed into determinis‐tic analysis .First ,the pseudo‐excitation is made up according to train loads ,and then the equations of the half‐space are transformed into wave number and frequency domain ,finally the virtual response is achieved in integral form .Although the response in integral form is quite sure ,the evaluation of these in‐tegrals is a formidable task due to the high oscillatory and singularity w hen the phase speed approaches or exceeds Rayleigh‐wave speed .The integration interval is confirmed by visualizing the integrand ,and the oscillatory of the integrand can be overcome by adopting adaptive numerically integration algorithm , the numerical results is given .For the purpose of verification ,the response of viscoelastic half‐space subjected to moving deterministic loads is also evaluated ,and the numerical results are good with the results in literature .Based on the numerical method ,the response of viscoelastic half‐space under train loads have been calculated .The contribution of different moving loads’speeds and loads’ frequency is analyzed ,as w ell as the response’s distribution in time and space .关键词
黏弹性半空间/虚拟激励法/傅里叶变换/列车荷载/自适应数值积分算法Key words
viscoelastic half-space/pseudo-excitation method/Fourier transform/train load/adaptive numerically integration algorithm分类
数理科学引用本文复制引用
司理涛,赵岩,张亚辉..列车荷载作用下黏弹性半空间体的随机动力响应[J].计算力学学报,2016,33(2):165-170,6.基金项目
973课题(2014CB046803;2010CB832704)资助项目. ()