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复阻尼振动系统的瞬态响应通常只能在频域内求解。该文根据复阻尼理论应遵循对偶复化的原则,结合精细积分指数矩阵和高斯积分的运算方法,通过理论推导,给出了复阻尼结构动力方程的高斯精细时程积分法。分别采用Newmark-法和高斯精细时程积分法计算了复阻尼多自由度系统地震时程响应,并与频域法(视为精确解)的计算结果进行比较。结果表明:高斯精细时程积分法可用于复阻尼系统动力时程分析;且比Newmark-法有更高的精度和效率。
The transient response of a complex damping vibration system can usually only be solved in the frequency domain. According to the theory of dual damping, the theory of complex dual damping should be followed. Combined with the method of precise integral index matrix and Gaussian integral, the Gaussian precision time-integration method for dynamic equations of complex damping structure is given through theoretical derivation. The seismic response of complex multi-degree-of-freedom multi-degree-of-freedom system was calculated by Newmark-method and Gauss fine time-integration method separately and compared with the results of frequency domain method (considered as exact solution). The results show that Gaussian precise time-integration method can be used for dynamic time-history analysis of complex damping systems and has higher accuracy and efficiency than Newmark method.