GEOMETRICALLY NONLINEAR-ANALYSIS OF MULTIBODY SYSTEMS
GEOMETRICALLY NONLINEAR-ANALYSIS OF MULTIBODY SYSTEMS
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DOI：
10.1016/0045-7949(86)90242-7
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发表时间：
1986-01-01
影响因子：
4.7
通讯作者：
SHABANA, AA
中科院分区：
文献类型：
--
作者：
BAKR, EM;SHABANA, AA
提出了一种几何非线性变惯量柔性系统动力学分析的方法。研究的系统包括相互连接的刚性和柔性组件，进行大的刚体旋转以及非线性弹性变形。运动微分方程采用拉格朗日方程，描述系统中机械关节的非线性约束方程采用拉格朗日乘子附加到系统运动微分方程上。系统地构造和数值求解系统运动方程的计算机程序被用来预测几何弹性非线性对柔性多体系统动力响应的影响。提出的自动化配方对待处理的机械系统的尺寸没有限制。两个例子，即曲柄滑块机构和六杆机构，提出了说明的效果，引入几何非线性的柔性多体系统的动力学。
A method for the dynamic analysis of geometrically nonlinear inertia-variant flexible systems is presented. Systems investigated consist of interconnected rigid and flexible components that undergo large rigid body rotations as well as nonlinear elastic deformations. The differential equations of motion are formulated using Lagrange's equation and nonlinear constraint equations describing mechanical joints in the system are adjoined to the system differential equations of motion using Lagrange's multipliers. A computer program that systematically constructs and numerically solves the system equations of motion is used to predict the effect of the geometric elastic nonlinearities on the dynamic response of flexible multibody systems. The automated formulation presented imposes no limitations on the size of the mechanical systems to be treated. Two examples, namely a slider crank and six-bar mechanisms, are presented to illustrate the effect of introducing geometric nonlinearities to the dynamics of flexible multibody systems.