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Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: the effects of large vibration amplitudes on the fundamental mode shape

✍ Scribed by K. El Bikri; R. Benamar; M. Bennouna

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
273 KB
Volume
81
Category
Article
ISSN
0045-7949

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✦ Synopsis

The geometrically non-linear free vibrations of thin isotropic and laminated rectangular composite plates with fully clamped edges have been successfully investigated in previous series of works using a theoretical model based on HamiltonΓ•s principle and spectral analysis. The objective of this work is the extension of the above model to the case of clamped clamped simply supported simply supported rectangular plates, denoted by CCSSSSRP, in order to determine their fundamental non-linear mode shape, and associated amplitude-dependent resonant frequencies, and flexural stress distribution. Numerical data are given for both linear and non-linear analysis, for various plate aspect ratios and vibration amplitudes. Good agreement was found with previous published results.

πŸ“œ SIMILAR VOLUMES

The Effects Of Large Vibration Amplitude
The Effects Of Large Vibration Amplitudes On The Mode Shapes And Natural Frequencies Of Thin Elastic Structures, Part III: Fully Clamped Rectangular Isotropic Platesβ€”Measurements Of The Mode Shape Amplitude Dependence And The Spatial Distribution Of Harmonic Distortion
✍ R. Benamar; M.M.K. Bennouna; R.G. White πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 658 KB

In this work, the amplitude dependence of the resonance frequency and the spatial distribution of the first and second harmonic components of the dynamic response of a fully clamped rectangular homogeneous plate have been investigated experimentally. By using electrodynamic point excitation at the c