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中文摘要：
提出了两种基础振动分析的高阶集中参数模型。首先将近似基础频率响应的复频率有理函数展开为连分式：然后与模型动力刚度方程的连分式表达对比获得模型参数。相比于现有的高阶集中参数模型，两类模型容易扩展到高阶，其物理结构简洁并与所分析的问题无关。此外，由于模型的动力方程具有二阶时间导数项，因而应用本文模型的结构一基础一土系统可以采用显式时间积分求解。通过分析弹性地基表面半无限杆问题，并与Wu—Lee集中参数模型的结果进行比较，验证了本文模型的有效性。
英文摘要：
Two new types of high-order lumped-parameter models （LPMs） for foundation vibrations are proposed. The parameters of LPMs are obtained by comparing the continued-fraction dynamic-stiffness equations of new LPMs with the continued-fraction expansions of a rational function in complex frequency approximating foundation frequency response. Compared with the existing high-order LPMs, the proposed LPMs are easier to extend to high orders, and their physical configurations are condensed and independent of the problem analyzed. Moreover, due to the dynamic equations of LPMs with second-order derivative terms in time, the resulting structure-foundation-soil system can be solved by an explicit time-integration method. The effectiveness of the proposed LPMs is verified by analyzing the benchmark problem of semi-infinite rod on an elastic foundation and comparing with the results of Wu-Lee LPMs.
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