Received:December 09, 2014  Revised:March 04, 2015
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DOI:10.7511/jslx201602005
KeyWord:viscoelastic half-space  pseudo-excitation method  Fourier transform  train load  adaptive numerically integration algorithm
        
AuthorInstitution
司理涛 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
赵岩 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
张亚辉 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
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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 deterministic 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 integrals is a formidable task due to the high oscillatory and singularity when 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 well as the response' s distribution in time and space.