Abstract Presented herein is a detailed analysis of the small, free oscillations of pre- stressed rectangular plates in both pre- and post-buckling ranges. The simply supported plate is stressed either thermally or by the uniaxial in-plane loads on two opposite edges, the other two edges are taken to be either freely movable or immovable, and all the edges are restrained to remain straight. Both the symmetrical and anti-symmetrical small vibration modes superimposed upon both primary- and secondary-buckling, and the coupling among these modes, are studied. A criterion for the existence of coupling is given. Some numerical results are then presented.
[1]
M. Stein,et al.
Behavior of Buckled Rectangular Plates
,
1960
.
[2]
R. L. Bisplinghoff,et al.
ON THE VIBRATIONS OF THERMALLY BUCKLED BARS AND PLATES
,
1956
.
[3]
A. C. Walker.
The Post-Buckling Behaviour of Simply-Supported Square Plates
,
1969
.
[4]
S. A. Ambartsumian,et al.
Some problems of vibration and stability of shells and plates
,
1966
.
[5]
B. Boley.
The Shearing Rigidity of Buckled Sheet Panels
,
1950
.
[6]
William Prager,et al.
Theory of Thermal Stresses
,
1960
.