Analysis of Linear Nonconservative Vibrations

Autor:	F. Ma, T. K. Caughey
Rok vydání:	1995
Předmět:	Mechanical Engineering Numerical analysis Modal analysis Equations of motion Extension (predicate logic) Condensed Matter Physics Symmetry (physics) Vibration Classical mechanics Mechanics of Materials Applied mathematics Reduction (mathematics) Equivalence (measure theory) Mathematics
Zdroj:	Journal of Applied Mechanics. 62:685-691
ISSN:	1528-9036 0021-8936
DOI:	10.1115/1.2896001
Popis:	The coefficients of a linear nonconservative system are arbitrary matrices lacking the usual properties of symmetry and definiteness. Classical modal analysis is extended in this paper so as to apply to systems with nonsymmetric coefficients. The extension utilizes equivalence transformations and does not require conversion of the equations of motion to first-order forms. Compared with the state-space approach, the generalized modal analysis can offer substantial reduction in computational effort and ample physical insight.
Databáze:	OpenAIRE
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