Abstract
Based on Neumman series and epsilon-algorithm, an efficient computation for dynamic responses of systems with arbitrary time-varying characteristics is investigated. Avoiding the calculation for the inverses of the equivalent stiffness matrices in each time step, the computation effort of the proposed method is reduced compared with the full analysis of Newmark method. The validity and applications of the proposed method are illustrated by a 4-DOF spring-mass system with periodical time-varying stiffness properties and a truss structure with arbitrary time-varying lumped mass. It shows that good approximate results can be obtained by the proposed method compared with the responses obtained by the full analysis of Newmark method.
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The project supported by the Foundation of the Science and Technology of Jilin Province (20070541), 985-Automotive Engineering of Jilin University and Innovation Fund for 985 Engineering of Jilin University (20080104).
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Ma, L., Chen, Y., Chen, S. et al. Efficient computation for dynamic responses of systems with time-varying characteristics. Acta Mech Sin 25, 699–705 (2009). https://doi.org/10.1007/s10409-009-0255-5
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DOI: https://doi.org/10.1007/s10409-009-0255-5