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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 a large moving beam with lateral and longitudinal vibrations is analyzed. The accurate modal deformation field is introduced by using the transverse and longitudinal vibration of the beam. The rigid-flexible coupling nonlinear dynamic equation of the beam is established by Lagrange’s equation. The nonlinear equation automatically takes into account the effects of stiffening. Based on the Newmark direct integration method and the Newton Raphson iteration method, a numerical method for solving the nonlinear equation is given. The simulation example proves the correctness and effectiveness of this method.