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受迫和阻尼振动微分方程解法探究
引用本文:郑福昌.受迫和阻尼振动微分方程解法探究[J].通化师范学院学报,2010,31(2):20-22.
作者姓名:郑福昌
作者单位:武夷学院,电子工程系,福建,武夷山,354300
基金项目:武夷学院科研项目立项课题 
摘    要:“振动”是普通物理力学中一个基本而且重要的内容,研究振动时,运动方程的求解问题较为复杂,是教学的一个难董,一般教科书都没有给出求解过程,直接给出方程的解来进行讨论.该文用复数法和试探法求出受迫振动微分方程的解.对理解“振动”的有关概念和规律有很大帮助,为“振动”方程求解提供了简明的方法.

关 键 词:试探法  复数法  拉普拉斯变换法  旋转矢量法  动力学方程  简谐量

Solution of Forced and Damped Vibration Differential Equation
ZHENG Fu-chang.Solution of Forced and Damped Vibration Differential Equation[J].Journal of Tonghua Teachers College,2010,31(2):20-22.
Authors:ZHENG Fu-chang
Institution:ZHENG Fu-chang(Department of Eleetronics Engineering,Wuyi College,Wuyi Mountain,Fujian 354300,China)
Abstract:When the vibration is one basic and the important content in ordinary physical mechanics,studying the vibration,the solution of motion equation is more complex,also becomes the teaching difficulty,generally the textbook has not given the solution process,but given the solution of equation to carry on the discussion directly.This article extracts the solution of forced vibration differential equation with the plural method and trial method,which is helpful to understand the related concept and the rule of vi...
Keywords:trial method  plural method  Laplace transform method  rotation vector method  dynamic equation  harmonic volume  
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