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弹簧振子非线性振动分析及应用
引用本文:吕福和. 弹簧振子非线性振动分析及应用[J]. 上海第二工业大学学报, 2009, 26(3): 223-227
作者姓名:吕福和
作者单位:上海第二工业大学理学院,上海,201209
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。

关 键 词:弹簧振子  非线性振动  积分法  逐步积分法

Analysis and Application for the Nonlinear Vibration of Spring Oscillator
LU Fu-he. Analysis and Application for the Nonlinear Vibration of Spring Oscillator[J]. Journal of Shanghai Second Polytechnic University, 2009, 26(3): 223-227
Authors:LU Fu-he
Affiliation:LU Fu-he ( School of Science, Shanghai Second Polytechnic University, Shanghai 201209, P.R.China )
Abstract: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.
Keywords:spring oscillator  nonlinear vibration  integral  step-integral
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