High-Order Lumped-Parameter Model for Foundation Based on Continued Fraction

Abstract eng:
A new high-order lumped-parameter model (LPM) for foundation vibrations is proposed in this paper. Instead of partial fraction expansion used widely, the continued-fraction expansion is applied as a mathematical tool to construct the new LPM, so that its parameters can be obtained by only real-number operations and its configuration is independent of problem analyzed. The new LPM has a condensed physical configuration with few parameters as possible and is easily extended to higher order. Moreover, due to the LPM with mass on each internal degree of freedom, the resulting structure-foundation-soil system can be solved by an explicit time-integration method. The effectiveness of new LPM is verified by analyzing the benchmark problem of semi-infinite rod on elastic foundation.

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