摘要
分析了发生横、纵振动的大运动梁的非线性动力响应,引用梁横向和纵向振动的精确模态描述变形场,利 用拉格朗日方程建立了运动梁刚柔耦合非线性动力学方程。该非线性方程自动计及了动力刚化的影响。基于Newmark 直接积分法和Newton Raphson迭代法,给出了求解该非线性方程的数值方法。仿真算例证明了本文方法的正确性和有 效性。
The nonlinear dynamic response of flexible beam undergoing Large global motion is investigated. The deformation field of beam is described by using its exact transverse vibration modes and longitudinal vibration modes. The coupled nonlinear equation which takes into account the stiffening effect is derived by applying the Lagrange equation for the moving beam. Based on the Newmark direct integration method and the Newton-Raphson iteration method, the computational procedures of the numerical method for solving the nonlinear equation are presented. The simulation examples demonstrate the correctness and efficiency of the present method.
出处
《振动与冲击》
EI
CSCD
北大核心
2005年第1期1-3,共3页
Journal of Vibration and Shock
