Vibrations of shallow arches, including the effect of geometric non-linearities
โ Scribed by M.R.M. Crespo da Silva
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 586 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
The planar and non-planar motions of shallow arches of arbitrary shape, or of thin initially curved planar structural members, are investigated with the objective of determining the influence of non-straightness on the planar and non-planar response of the system to a planar harmonic excitation. Comparison is made with the response of a straight element having the same length as the curved member.
๐ SIMILAR VOLUMES
Large amplitude flexural vibrations of a moderately thick arch have been studied. The material of the arch has been assumed to be homogeneous, isotropic and linearly elastic. Governing equations have been derived by the variational method. Values of the period for different amplitudes, for arches wi
The non-linear steady state vibration of shallow arch beams is studied by a finite element method based on the principle of virtual work. Both the free and forced periodic vibrations are considered. The axial and flexural deformations are coupled by the induced axial force along the beam element. Th
This paper presents a general approach to predict the influence of geometric non-linearities on the free vibration of elastic, thin, orthotropic and non-uniform open cylindrical shells. The open shells are assumed to be freely simply supported along their curved edges and to have arbitrary straight
The investigation of the dynamic response of a shallow arch to harmonic forcing is undertaken. The method of harmonic balance, coupled with a continuation scheme, is used to determine the solutions for an entire range of externally applied loading. Floquet analysis provides the requisite stability i