基于MATLAB的平方阻尼振动研究  

Research on the Square Damping Vibration with MATLAB

作　　者：何松林[1] 黄焱[1] 

机构地区：[1]昆明学院物理科学与技术系,云南昆明650031

出　　处：《昆明学院学报》2009年第6期104-105,132,共3页Journal of Kunming University

基　　金：云南省教育厅科学研究基金资助项目(09Y0344)

摘　　要：摘用MATLAB研究了振动系统在与速度平方成正比的阻尼作用下的运动性质,采用平均法求出了平方阻尼情况下振动微分方程的近似解析解,讨论了解析解的使用条件并与数值解进行了比较.发现平方阻尼下,振动系统进行周期性的非指数型衰减振动,在一定条件下,采用近似解析式描写这种运动,有很高的精度.The nature of vibration system affected by a damping force which amplitude is proportional to the square of the speed has been studied with MATLAB. The approximate analytical solution of the differential equation of a square damping vibration system has been obtained by averaging method and the using conditions of analytical solution are discussed. It is found that the system will do periodic vibration of non-exponential decay. And there is a high accuracy to use approximate analytic formula to describe this movement under certain conditions.

关 键 词：平方阻尼 振动系统 MATLAB 平均法 解析解 

分 类 号：O322[理学—一般力学与力学基础]