弹簧振子非线性振动分析及应用  

Analysis and Application for the Nonlinear Vibration of Spring Oscillator

作　　者：吕福和[1] 

机构地区：[1]上海第二工业大学理学院,上海201209

出　　处：《上海第二工业大学学报》2009年第3期223-227,共5页Journal of Shanghai Polytechnic University

摘　　要：利用积分法分析了弹簧振子非线性振动的周期、频率、振幅等力学特征值,在稳态的情况下计算了对称非线性振动的杜芳方程的频率特性,并通过逐步积分法分析了框架结构在冲击载荷作用下的弹塑性振动。数值算例说明了弹簧振子模型对求解非线性振动的实效性。In integral method the mechanic characters of spring oscillator nonlinear vibration are analyzed, such as period, frequency and swing, and in steady-state condition the frequency of Duffing equation for symmetric nonlinear oscillator is calculated. Besides, basing on step-integral, this paper also studies the spring vibration of framework, when it is impacted by concussion and electric charge. The numerical equations illuminate the validity of spring-oscillator model, in case of parsing the nonlinear vibration.

关 键 词：弹簧振子 非线性振动 积分法 逐步积分法 

分 类 号：O322[理学—一般力学与力学基础]