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Vibrating Spatially Periodic Structures with Simply Supported and Guided Ends
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Sector:
Event:
Aerospace Meeting
Language:
English
Abstract
A spatially periodic structure is a longitudinal array of identical substructures. A method of free and forced vibration analysis of periodic structures with simply supported and guided ends is presented. The computational effort required roughly equals the effort to analyze a single substructure. All natural modes and frequencies of
an extensive structure can be found from a characteristic equation of order equal to the degrees of freedom on one substructure boundary. A modal reduction further simplifies the computations; applications are presented. The method is expected to be useful in structural vibration, sound transmission, and sonic fatigue analysis.
Authors
Topic
Citation
Denke, P., "Vibrating Spatially Periodic Structures with Simply Supported and Guided Ends," SAE Technical Paper 791064, 1979, https://doi.org/10.4271/791064.Also In
References
- Mead D. J. “A General Theory of Harmonic Wave Propagation in Linear Periodic Systems with Multiple Coupling.” Journal of Sound and Vibration 1973 27 2 235 260
- Denke P. H. Eide G. R. Pickard J. “Matrix Difference Equation Analysis of Vibrating Periodic Structures,” AIAA Journal 13 2 160 166 1975
- Meirovitch L. Engels R. C. “Response of Periodic Structures by the Z-Transform Method.” AIAA Journal 15 167 174 1977
- Engels R. C. Meirovitch L. “Response of Periodic Structures by Modal Analysis.” Journal of Sound and Vibration 56 4 481 493 1978
- Przemieniecki J. S. “Theory of Matrix Structural Analysis.” New York McGraw-Hill 1968