论文信息 - Transverse vibration of a rectangular plate elastically restrained against rotation along three edges and free on the fourth edge

Transverse vibration of a rectangular plate elastically restrained against rotation along three edges and free on the fourth edge

A literature search has shown that the title problem has received no treatment. In the present study the problem is solved by the Ritz method with deflection functions which are simple polynomials. Frequency coefficients for the fundamental mode and two other higher natural dynamic states are presented.

P.A.A. Laura | Ricardo Oscar Grossi | P. Laura | R. Grossi

[1] A. W. Leissa,et al. Recent Research in Plate Vibrations. 1973 - 1976: Complicating Effects , 1978 .

[2] G. B. Warburton,et al. The Vibration of Rectangular Plates , 1954 .

[3] B. F. Saffell,et al. Study of Small‐Amplitude Vibrations of Clamped Rectangular Plates Using Polynomial Approximations , 1967 .

[4] P.A.A. Laura,et al. Vibrations of rectangular plates elastically restrained against rotation along all edges and subjected to a bi-axial state of stress , 1974 .

[5] Arthur W. Leissa,et al. Recent Research in Plate Vibrations: Classical Theory , 1977 .

[6] Arthur W. Leissa,et al. The free vibration of rectangular plates , 1973 .

[7] A. Leissa. RECENT RESEARCH IN PLATE VIBRATIONS: COMPLICATING EFFECTS , 1977 .

[8] P.A.A. Laura,et al. A note on the determination of the fundamental frequency of vibration of thin, rectangular plates with edges possessing different rotational flexibility coefficients , 1977 .

[9] Arthur W. Leissa,et al. Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.