Abstract: The nonlinear dynamical equations of tilted support spring system with critical components were established under the action of semi-sinusoidal pulse, and the equations were solved using Runge-Kutta method. The shock response characteristics of the critical components were obtained and analyzed. To evaluate the shock, a new concept of shock response spectra was proposed. The ratio of the maximum shock response acceleration of the critical components to the peak pulse acceleration and the dimensionless pulse duration were employed as the basic parameters of the shock response spectra. Based on the numerical results, the effects of the peak pulse acceleration, the dimensionless pulse duration, the angle of the tilted support spring and the frequency ratio of the system on the shock response were discussed. It is shown that the effects of the angle of the tilted support spring and the frequency ratio of the system are particularly noticeable. By increasing frequency ratio of the system, the maximum shock response acceleration of the critical components can be obviously decreased, while the peak of the shock response of the critical components can be decreased by increasing mass ratio at low frequency ratio.

Key words: vibration and wave, critical component, tilted support spring, nonlinear, shock response spectra, performance of shock response.

摘要： 以考虑易损件的斜支承弹簧系统为研究对象，建立系统几何非线性动力学方程，利用龙格—库塔法对易损件冲击响应特性进行数值分析。以易损件加速度响应峰值与脉冲激励幅值之比为易损件在半正弦波脉冲激励作用下的响应指标，无量纲脉冲激励时间作为变量，构建易损件的冲击响应谱。通过数值分析讨论脉冲激励幅值、脉冲激励时间、系统支承角以及频率比等对易损件冲击响应的影响规律。研究表明，系统支撑角、频率比等对易损件冲击响应影响显著，增加频率比可使易损件加速度响应峰值明显降低，低频率比条件下增大质量比可抑制易损件加速度响应峰值。

关键词: 振动与波, 易损件, 斜支承系统, 非线性, 冲击谱, 冲击特性