沉管隧道纵向地震响应分析的多体动力学方法
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摘要
沉管隧道纵向地震响应分析是沉管隧道抗震设计的关键。根据沉管隧道结构的几何特征和结构特点,基于合理假设建立了沉管隧道的多刚体-弹性阻尼铰-阻尼铰动力学模型,并运用多体动力学理论中的离散时间传递矩阵法(MS-DT-TMM)推导出了其数学模型及表达式。通过算例进行了沉管隧道纵向地震响应的时程分析,并将该方法与传统有限元方法的计算结果进行了对比,结果表明了MS-DT-TMM法的可行性和有效性,为快速实现沉管隧道抗震计算分析提供了新的手段。
The longitudinal seismic response analysis of immersed tunnels is crucially important for the seismic design of immersed tunnels. Using the geometric features and structural characteristics of immersed tunnels, a dynamic model composed of multi-rigid bodies, elastic damping hinges, and damping hinges is proposed for immersed tunnels based on reasonable assumptions. The mathematical models and formulae are deduced using the discrete time transfer matrix method(MS-DT-TMM) of multibody dynamics theory. The new method is applied to a reference dynamic test and the seismic response of an immersed tunnel is analyzed. Results using the proposed method compare well with benchmark simulations from the traditional finite element method. The research could provide references for the rapid calculation of seismic response in immersed tunnels.
引文
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