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Simulation of the nonlinear vibration of a string using the cellular automation method

✍ Scribed by Shozo Kawamura; Masaki Shirashige; Takuzo Iwatsubo

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
284 KB
Volume
66
Category
Article
ISSN
0003-682X

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πŸ“œ SIMILAR VOLUMES

NON-LINEAR FREE VIBRATION ANALYSIS OF A
NON-LINEAR FREE VIBRATION ANALYSIS OF A STRING UNDER BENDING MOMENT EFFECTS USING THE PERTURBATION METHOD
✍ S.E. KHADEM; M. REZAEE πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 251 KB

In this paper, the non-linear free vibration of a string with large amplitude is considered. The initial tension, lateral vibration amplitude, cross-section diameter and the modulus of elasticity of the string have main e!ects on its natural frequencies. Increasing the lateral vibration amplitude ma

Formation of singularities for wave equa
Formation of singularities for wave equations including the nonlinear vibrating string
✍ Sergiu Klainerman; Andrew Majda πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 726 KB

## Abstract Under very general assumptions, the authors prove that smooth solutions of quasilinear wave equations with small‐amplitude periodic initial data always develop singularities in the second derivatives in finite time. One consequence of these results is the fact that all solutions of the