On the modal equations of large amplitude flexural vibration of beams, plates, rings and shells

Pandalai, K. A. V. ; Sathyamoorthy, M. (1973) On the modal equations of large amplitude flexural vibration of beams, plates, rings and shells International Journal of Non-linear Mechanics, 8 (3). pp. 213-218. ISSN 0020-7462

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002074...

Related URL: http://dx.doi.org/10.1016/0020-7462(73)90044-9

Abstract

In a simple and straight forward manner the modal equations applicable for the large amplitude flexural vibrations of plates and shells are obtained by the Lagrange's method. These equations can easily be specialised to obtain the corresponding equations applicable for beams and rings. The basic nature of the modal equations for beams and plates on the one hand and rings and shells on the other hand are shown to exhibit hard and soft spring characteristics, respectively.

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