计及应力刚化效应的空间大运动曲梁动力学建模与分析

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (14) : 27-33.

论文

张建书1 ，芮筱亭1，陈刚利1

作者信息 +

Dynamics modeling and analysis of a spatial curved beam with stress stiffening

ZHANG Jian-shu1 RUI Xiao-ting1 CHEN Gang-li1

Author information +

文章历史 +

摘要

从连续介质力学非线性位移-应变关系出发，导出计入应力刚化效应的空间柔性梁变形能表达式。利用浮动框架有限元方法和哈密顿变分原理推导了满足小变形假设的空间曲梁的一般运动动力学方程，并利用模态缩减法对动力学方程进行了维数降阶。所推导的动力学方程可用于高速旋转一般运动空间柔性曲梁动力学问题的求解。通过数值仿真讨论了应力刚化效应对大范围运动小变形空间柔性曲梁动力学特性的影响，并与ADAMS软件和ABAQUS软件的仿真结果进行了对比，指出了ADAMS软件在高速旋转柔性多体系统数值计算方面的一些缺陷。所提出的计及应力刚化效应的空间曲梁动力学建模方法为高速旋转一般运动柔性多体系统动力学建模和分析提供了参考。

Abstract

Based on the nonlinear relationship between deformation and strain of elastic flexible bodies, the expression of the potential energy of spatial flexible beams is derived. The effect of stress stiffening is accounted for in the potential energy. The dynamics equation of a spatial curved beam undergoing large displacement and small deformation is deduced using the finite element method of floating frame of reference (FEMFFR) and Hamiltonian variation principle. The order of the dynamic model is reduced by using modal synthesis method. The stress stiffening effect of the curved beam on the system dynamics is accounted for in the deduction procedure, which makes it applicable to the dynamic simulation of multi-flexible-body system with high rotational speed. The effect of stress stiffening is numerically analyzed using the deduced dynamics equations. The simulation results are compared with those obtained from the software of ADAMS and ABAQUS, which shows some defects of the commercial dynamics software. The proposed modeling method for the dynamics of a spatial curved beam with stress stiffening effect will lay a foundation for the modeling and analysis of high speed rotary multi-flexible-body system dynamics under small deformation using FEMFFR.

导出引用

张建书1,芮筱亭1，陈刚利1. 计及应力刚化效应的空间大运动曲梁动力学建模与分析[J]. 振动与冲击, 2016, 35(14): 27-33

ZHANG Jian-shu1 RUI Xiao-ting1 CHEN Gang-li1. Dynamics modeling and analysis of a spatial curved beam with stress stiffening[J]. Journal of Vibration and Shock, 2016, 35(14): 27-33

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