计及应力刚化效应的空间大运动曲梁动力学建模与分析  

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

作　　者：张建书[1] 芮筱亭[1] 陈刚利 

机构地区：[1]南京理工大学发射动力学研究所,南京210094

出　　处：《振动与冲击》2016年第14期27-33,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金(11102089);江苏省研究生培养创新计划基金(CXZZ12_0177)资助

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

关 键 词：空间曲梁 浮动框架有限元方法 高速旋转 应力刚化 

分 类 号：O313.7[理学—一般力学与力学基础]