Last modified: 2013-05-04
Abstract
Reduced order linear models interconnected with nonlinear connections can be used for the prediction of nonlinear response using piecewise linear solutions. These reduced order results are useful for response prediction but expansion to full space is needed for the prediction of stress and strain in the full system model to be of practical usefulness.
This paper presents some of the recent efforts predicting nonlinear response from highly reduced order models interconnected with discrete nonlinear connections to show the usefulness of these approaches. In addition, expansion techniques are also utilized to identify the system level response at the full set of finite element degrees of freedom. The expansion process uses a unique formulation of the linear component information to identify the system level response from the unassembled component information and provides a unique way to identify the system level full field response in the presence of nonlinear system response. These full field responses can be used in conjunction with the constitutive equations of the finite element model to identify dynamic stress/strain for non-linear responses.
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