摘要
基于动刚度方法与常规有限元方法提出了一种计算梁动力响应的新方法。单元插值形函数是由梁的自由振动方程导出的,称为精确形函数。应用哈密顿原理推出振动控制方程。利用傅立叶展开定理求解梁的动力响应。数值模拟结果与常规有限元方法进行了比较,结果表明了新方法的有效性。
This study develops a new method for solving beam dynamic response based on combining dynamic stiffness method with conventional finite element method.In contrast to the conventional finite element method,shape functions used are deried from free vibration equation of a continuum beam.Hence, the shape functions resulted are named the exact shape functions.The Hamilition principle is employed to formulate the vibration equations.The Fourier expanding theorem is adopted to solve the dynamic responses.Simulation results are compared with the conventional ones to verify the proposed method.
出处
《振动与冲击》
EI
CSCD
北大核心
2006年第4期146-148,共3页
Journal of Vibration and Shock
关键词
动力响应
梁
精确形函数
有限元
dynamic response,beam,exact shape function,finit element method(FEM)
