Matlab求解理论力学问题系列(二)典型机构的运动分析  

KINEMATICS ANALYSIS OF TYPICAL MECHANISMS

作　　者：高云峰[1] GAO Yunfeng(School of Aerospace Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学航天航空学院,北京100084

出　　处：《力学与实践》2021年第3期414-419,共6页Mechanics in Engineering

摘　　要：运动学计算机辅助分析可以帮助人们方便了解机械系统的整个运动过程,获得系统中任意点的运动轨迹、速度和加速度的变化规律,直观明了。Matlab软件是实现计算机辅助分析的工具之一。本文着重介绍了2个典型机构的运动分析,一个案例侧重从数值计算的角度介绍Matlab如何求解机构运动涉及的非线性方程组和如何进行动画演示;另一个案例着重介绍如何利用Matlab中的符号推导功能,求解全参数化的运动学问题。Computer-aided analysis of kinematics can help understand the whole movement process of a mechanical system,along with the motion trajectory,the velocity and the acceleration of the system at any time or position.Matlab can be used to realize the computer-aided analysis.This paper focuses on the kinematics analysis of two typical mechanisms.In one case,the focus is on how to solve the nonlinear algebraic equations by Matlab and how to perform the animation demonstration.In another case,the focus is on how to solve the fully parametric kinematics problem by using the symbolic derivation function in Matlab.

关 键 词：非线性代数方程组 牛顿-拉普森方法 运动轨迹 动画显示 符号推导 

分 类 号：G642[文化科学—高等教育学] O31-4[文化科学—教育学]