Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics
1985 ◽
Vol 107
(1)
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pp. 82-87
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Keyword(s):
A singular value decomposition method for efficient solution of mixed differential-algebraic equations of motion of mechanical systems is developed. Differential equations of motion are written in terms of a maximal set of Cartesian generalized coordinates that are related through nonlinear algebraic constraint equations. Singular value decomposition of the constraint Jacobian matrix is used to define a new set of generalized coordinates that are partitioned into optimal independent and dependent sets. Integration of only independent generalized coordinates generates all system information. A numerical example is presented to demonstrate effectiveness of the method.
2019 ◽
Vol 91
(7)
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pp. 315-331
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2021 ◽
pp. 104281
1995 ◽
Vol 19
(4)
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pp. 417-431
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2018 ◽
Vol 13
◽
pp. 174830181881360
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2018 ◽
Vol 123
(1)
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pp. 359-370
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1996 ◽
Vol 13
(3)
◽
pp. 464
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2011 ◽
Vol 42
(6)
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pp. 336-346
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