The objective of the present paper is to analyze coupled bending and torsional vibrations of distributed-parameter beams. The governing coupled set of partial differential equations is solved by separating the dynamic response in a quasistatic and in a complementary dynamic response. The quasistatic
Pseudo-coupled bending-torsion vibrations of beams under lateral parametric excitation
โ Scribed by E. Dokumaci
- Book ID
- 104154056
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 289 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
This paper presents a theoretical and experimental study of the dynamic stability of straight uniform beams under lateral parametric excitation. The calculation of the boundaries of stability is based on the finitization of the problem by means of the Rayleigh-Ritz method and application of the small parameter stability criterion to the resulting periodic linear system. An experimental study was carried out on a cantilever beam excited by base motion acting in the largest plane of rigidity of the beam. A close correlation has been established between the calculated and measured boundaries of inst~t~ility by taking into account the non-linear damping characteristics exhibited by the beams tested.
๐ SIMILAR VOLUMES
The objective of this paper is to analyse the free vibration and mode shapes of straight beams where the coupling between the bending and torsion is induced by steady state lateral loads. The governing differential equations and boundary conditions for coupled vibrations of Euler-Bernoulli-Vlasov be