论文部分内容阅读
以连续介质力学和弹性波动理论为基础，在Ｌａｐｌａｃｅ积分变换域内推导了地震波激励下土与结构的多子域边界积分－边界单元方程，采用了一系列特殊的数值积分处理技术；根据随机过程原理以及基于基岩面运动的地震力理论建立了随机地震波数学模型；提出了一种新的Ｌａｐｌａｃｅ数值反演变换方法，并引入了最小标准误差原理，实现了Ｌａｐｌａｃｅ 反演变换中各控制参数的最优化关联取值，使计算精度与计算速度均有较大的改进和提高；编制了相应的计算机程序，并通过几个土－结构的地震响应算例分析，证实了方法和程序的可行性与有效性
Based on continuum mechanics and elastic wave theory, a series of special numerical integral processing techniques are used to derive boundary integral equations of multiple subdomains under seismic excitation in Laplace integral transform domain. According to the principle of stochastic process And the mathematical model of stochastic seismic wave based on the seismic force theory of bedrock surface movement was established. A new Laplace numerical inversion method was proposed and the principle of minimum standard error was introduced. The Laplace inversion The optimization of the correlation value has greatly improved and improved the calculation precision and the calculation speed. Corresponding computer programs have been prepared and the feasibility of the method and procedure has been verified through the case study of several soil-structure seismic responses Effectiveness