一类弹性地基梁振动问题数值模拟方法  

A numerical simulation method to solve the beam vibration problem on elastic foundation

作　　者：尹哲[1] 沈万芳[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（工学版）》2003年第5期582-584,共3页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学基金 ( 10 0 710 44 );博士点基金资助

摘　　要：本文应用变分形式、虚功原理、Hermite三次元 ,提出弹性地基梁振动问题的有限元方法 .该方法可以应用到列车速度对地面振动评估。With the help of variation method, virtual work principle and cubic hermite element, the author puts forward a finite element method to solve the problem of beam vibration on elastic foundation. This method has been found applicable to assess ground vibration effects caused by vehicle speed and load condition. Through numerical simulation it's also been found applicable to predict and to show the way to prevent bridge vibration.

关 键 词：Hermite三次元 数值模拟 有限元方法 双线性形式 

分 类 号：O241.82[理学—计算数学]