✦ LIBER ✦

In-plane vibrations of frames carrying concentrated masses

✍ Scribed by P.A.A. Laura; B.H. Valerga de Greco; C.P. Filipich

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 342 KB
Volume: 117
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(87)80064-0

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✦ Synopsis

This paper deals with the determination of the fundamental frequency of vibration (antisymmetric mode) of a frame elastically restrained against translation and rotation at the ends, carrying concentrated masses. It is assumed that the structural configuration under study is symmetrical. Classical beam theory is employed and the frequency equation is generated by means of the Rayleigh-Ritz method and simple polynomial co-ordinate functions in order to represent the displacement field. An unknown parameter "r is included in the polynomials and this allows for optimization of the frequency coefficient by minimizing it with respect to ~,.

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