The decoupling of second-order linear systems with a singular mass matrix |
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| Authors: | Daniel T Kawano Matthias Morzfeld Fai Ma |
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| Institution: | 1. Department of Mechanical Engineering, Rose-Hulman Institute of Technology, Terre Haute, IN 47803, USA;2. Department of Mathematics, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;3. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA |
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| Abstract: | It was demonstrated in earlier work that a nondefective, linear dynamical system with an invertible mass matrix in free or forced motion may be decoupled in the configuration space by a real and isospectral transformation. We extend this work by developing a procedure for decoupling a linear dynamical system with a singular mass matrix in the configuration space, transforming the original differential-algebraic system into decoupled sets of real, independent, first- and second-order differential equations. Numerical examples are provided to illustrate the application of the decoupling procedure. |
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