计入柔性梁动力刚化/软化效应的一种新方法

A New Method for Accounting for Dynamic Stiffening/Softening Effect of Flexible Beams in Dynamics Modeling

提出柔性梁的动力刚化/软化效应的本质是柔性梁的大范围运动所导致的梁内轴向力对于梁的横向弹性振动所产生的影响效应。给出了柔性梁动力学建模中计入动力刚化/软化效应的一种新方法:通过考虑大范围运动所导致的梁内轴向力对于梁的横向弹性振动所产生的影响,来达到动力学建模中计入柔性梁动力刚化/软化效应的目的。这种方法同目前已有的计入柔性梁动力刚化/软化效应的方法相比,具有直观、简单、物理概念清晰和符号运算简便的优点。通过对一旋转柔性梁的横向弹性振动的动力学建模和计算为例,具体演示了如何应用本文的方法计入柔性梁的动力刚化效应,同时也说明了本文方法在应用实施上的便捷性。最后,将本文的计算结果同相关文献的对应结果相比较,验证了本文方法的正确性。

The essence of the dynamic stiffening/softening effect of flexible beams is the influence of the axial internal force caused by the large overall motion on the transverse vibration of the beams. A new method for accounting for the effect is presented. The central idea of this method is that the dynamic stiffening/softening effect of flexible beams is accounted for in the dynamic model by taking into consideration the influence of the axial internal force on the transverse vibration of the beams. Compared with other methods for accounting for the dynamic stiffening/softening effect of flexible beams, this method is more intuitive, clearer in physical concept, and simpler in symbol operation. A flexible beam clamped to a rotating rigid hub is taken as an example to show how to use the method to account for the dynamic stiffening effect of the beam. The dynamic modeling and numerical simulation of the beam confirm the validity and simplicity of the method.