多体系统
控制理论(社会学)
运动方程
还原(数学)
积分器
钟摆
惯性
双摆
计算机科学
工程类
物理
数学
非线性系统
经典力学
倒立摆
机械工程
几何学
量子力学
计算机网络
人工智能
控制(管理)
带宽(计算)
作者
Qinglong Tian,Lan Peng,Zuqing Yu
出处
期刊:Journal of Computational and Nonlinear Dynamics
[ASME International]
日期:2020-08-07
卷期号:15 (10)
被引量:3
摘要
Abstract A new method of model-order reduction for the flexible multibody system which undergoes large deformation and rotation is proposed. At first, the flexible multibody system is modeled by absolute nodal coordinate formulation (ANCF), and then, the whole motion process of the system is divided into a series of quasi-static equilibrium configurations according to a given criterion. Afterward, motion equation is locally linearized based on the Taylor expansion. Therefore, the constant tangent stiffness matrix is obtained and does not need to be updated until the next configuration. Based on the locally linearized motion equation, the free-interface component mode synthesis (CMS) method is adopted to reduce the degrees-of-freedom (DOF) of the flexible multibody system molded by ANCF. The generalized-α integrator is used to solve the reduced motion equation. To verify the accuracy and efficiency of the proposed method, three examples including a free-falling pendulum, a flexible spinning beam and a deployable sail arrays are presented. Results show that the proposed method is able to reduce the computing time and maintain high accuracy.
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