Periodic steady state response of complex finite element models using multi-level substructuring

Abstract eng:
Long term dynamics of a class of mechanical systems is investigated in a computationally efficient way. Each structural component is first discretized by applying the finite element method. This results frequently in models with a quite large number of degrees of freedom. In addition, the composite system may possess strongly nonlinear properties. The method applied overcomes some of these difficulties by first imposing a multi-level substructuring procedure. As a result, the original dimension of the complete system is substantially reduced. Subsequently, this allows the application of numerical methodologies which are efficient for predicting response of small scale systems. In particular, a systematic method is applied next, leading to direct determination of periodic steady state response of nonlinear models subjected to periodic excitation. The stability properties of the located motions are also determined, while an appropriate continuation scheme is applied, leading to evaluation of complete branches of periodic solutions. Finally, a respresentative set of numerical results is presented for an internal combustion car engine and a complete city bus model.

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