Nested lumped-parameter models for foundation vibrations

doi:10.1002/eqe.382

Nested lumped-parameter models for foundation vibrations

2004-05-17

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DOI：10.1002/eqe.382

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The concept of polynomial-fraction approximation is explored in this article to develop a nested type of systematic lumped-parameter model for unbounded soil. Based on the optimal coefficients determined from the flexibility formulation, the reciprocal of the polynomial-fraction is first taken to represent the dynamic stiffness function of foundation and then decomposed into a linear polynomial and another polynomial-fraction. The nested division introduced in this study is operated to generate a nested form for this decomposed polynomial-fraction, which directly corresponds to a nested discrete-element model. The nested type of lumped-parameter model is then easily constructed by connecting this nested discrete-element model in series with another simple discrete-element model corresponding to the linear polynomial. Copyright (C) 2004 John Wiley Sons, Ltd.

Keyword:

lumped-parameter model

dynamic stiffness function

dynamic flexibility function

polynomial-fraction

nested division

Nested lumped-parameter models for foundation vibrations

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