On the stability behaviour of systems obtained by index-reduction (Q1893554)
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scientific article; zbMATH DE number 770325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stability behaviour of systems obtained by index-reduction |
scientific article; zbMATH DE number 770325 |
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On the stability behaviour of systems obtained by index-reduction (English)
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24 October 1995
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Constrained mechanical systems in their index 3 formulation are considered. It is shown that the Gear-Gupta-Leimkuhler index-reduction preserves the stability behaviour of the system, whereas Baumgarten stabilization introduces additional eigenvalues for the linearized problem. A similar investigation can be found in the paper of \textit{B. Simeon, C. Führer} and \textit{P. Rentrop} [Numer. Math. 64, No. 4, 521-539 (1993; Zbl 0797.65054)].
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constrained mechanical systems
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index 3 formulation
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Gear-Gupta- Leimkuhler index-reduction
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stability
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Baumgarten stabilization
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