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A study of the thermally induced large amplitude vibrations of viscoelastic plates and shallow shells

โœ Scribed by D.L. Hill; J. Mazumdar

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
710 KB
Volume
116
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

A method for the study of large amplitude vibrations of viscoelastic plates and shallow shells is presented. The concept of iso-amplitude contour lines in conjunction with Galerkin's method is used and the resulting non-linear differential equations are solved for appropriate time functions. The thermally induced large amplitude vibrations of a square viscoelastic plate and of a shallow shell of equilateral triangular planform are examined. All details are explained by using graphs.

๐Ÿ“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 SHELLS. PART II: A NEW APPROACH FOR FREE TRANSVERSE CONSTRAINED VIBRATION OF CYLINDRICAL SHELLS
โœ F. MOUSSAOUI; R. BENAMAR; R.G. WHITE ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 494 KB

The non-linear dynamic behaviour of in"nitely long circular cylindrical shells in the case of plane strains is examined and results are compared with previous studies. A theoretical model based on Hamilton's principle and spectral analysis previously developed for non-linear vibration of thin straig