摘要
通过对地基动力问题的基本方程进行变换,把基本方程变换到随荷载移动的运动坐标系中,通过加权残数法推导了相应的单元刚度矩阵,从而建立了移动问题的有限元格式,并发现移动荷载问题的单元刚度矩阵是对相应静力问题单元刚度矩阵的修正,在静力单元刚度矩阵的主对角元素上增加与移动速度有关的项,即可得到移动问题有限元的单元刚度矩阵,这样就将动力学问题转化为“拟静力”问题处理。文中用移动问题有限元方法计算了地基的动力响应,并与解析解进行了对比,以说明本方法具有较好的精度。
Based on theory of transformation and fundamental equations of dynamic considerations, the quasi-static Finite Element is established by making use of the weighted residual method and the dynamic problem are regarded as ‘quasi-static＇. The quasi-static elements or moving elements are not physical elements fixed to the continuum but are conceptual elements that move with the moving load through the continuum. It is found that the principal diagonal component in stiffness matrices can be modified accord- ing to static stiffness matrices. Influences of moving velocity and vibration frequency on the dynamic responses of foundation are studied in the paper. The numerical results that are calculated by the quasi-static Finite Element Method are compared with analytical solution to get good precision.
出处
《力学季刊》
CSCD
北大核心
2006年第4期648-654,共7页
Chinese Quarterly of Mechanics
基金
国家自然科学基金资助(批准号:10372073)
关键词
移动荷载
有限元方法
加权残数法
拟静力问题
moving load
finite element method
weighted residual method
quasi-static problem.
