弹簧振子非线性振动分析及应用

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。

Analysis and Application for the Nonlinear Vibration of Spring Oscillator

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.