The "deficient" system that exists when the geometric multiplicity of an eigenvalue of a linear vibrating system is less than its algebraic multiplicity is defined and constructed. A complex mode theory is developed for the deficient system. The normal complex modes and generalized complex modes are
The response of vibrating systems with coulomb and linear damping inserts
โ Scribed by S. Mahalingam
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 516 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The concept of internal receptance described in an earlier paper is used in the analysis of the response of vibrating systems with one or more discrete damping inserts. In the case of dry friction damping, "linearized" expressions for force and displacement [2] are assumed. The lack of a receptance function for such a damper is over6ome by replacing it with an equivalent displacement excitation source. When the inserts are linear dampers (viscous, hysteretic, etc.) or damped sub-systems, the solution is by means of a receptance synthesis. In both cases the response is determined with the aid of the internal receptances and transfer ratios of the primary system.
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