Automated linearization of nonlinear coupled differential and algebraic equations

Date
1990
Authors
Trom, Jeffrey
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Research Projects
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Mechanical Engineering
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Abstract

This thesis presents a new approach for linearization of large multibody dynamic systems. The approach uses an analytical differentiation of terms evaluated in a numerical equation formulation. Because the method is based on a relative coordinate formalism, it is more efficient than any finite difference method without the concern of determining the proper dithering values. This new approach was generalized to include closed-loop systems, damping and eigenvalue sensitivities with respect to design variables. A number of examples were used to illustrate the accuracy and efficiency of the algorithm.

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Mechanical engineering
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