On the non-linear vibration of circular plates of variable thickness elastically restrained along the edges

The large deflection of a clamped circular plate of variable thickness under uniform load has been investigated using von Karman’s equations. Numerical results obtained for the deflections and stresses at the center of the plate have been given in tabular forms.

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Transfer matrix analysis of non-linear free vibrations of circular plates with variable thickness

Journal of Sound and Vibration ◽

10.1016/0022-460x(84)90510-8 ◽

1984 ◽

Vol 97 (4) ◽

pp. 587-595 ◽

Cited By ~ 2

Author(s):

H. Sato ◽

C. Shimizu

Keyword(s):

Transfer Matrix ◽

Variable Thickness ◽

Free Vibrations ◽

Matrix Analysis ◽

Circular Plates ◽

Non Linear ◽

Transfer Matrix Analysis

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A comment on “transverse vibrations and elastic stability of circular plates of variable thickness and with non-uniform boundary conditions”

Journal of Sound and Vibration ◽

10.1016/0022-460x(82)90184-5 ◽

1982 ◽

Vol 81 (1) ◽

pp. 140 ◽

Cited By ~ 1

Author(s):

P.A.A. Laura ◽

G.M. Ficcadenti ◽

R.O. Grossi

Keyword(s):

Boundary Conditions ◽

Variable Thickness ◽

Elastic Stability ◽

Circular Plates ◽

Transverse Vibrations ◽

Plates Of Variable Thickness

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Non-linear vibration of circular plates with transverse shear and rotatory inertia

Journal of Sound and Vibration ◽

10.1016/s0022-460x(81)80160-5 ◽

1981 ◽

Vol 78 (1) ◽

pp. 131-137 ◽

Cited By ~ 12

Author(s):

C.Y. Chia ◽

M. Sathyamoorthy

Keyword(s):

Transverse Shear ◽

Circular Plates ◽

Linear Vibration ◽

Rotatory Inertia ◽

Non Linear

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Stability of circular plates of variable thickness

Soviet Applied Mechanics ◽

10.1007/bf00883287 ◽

1975 ◽

Vol 11 (11) ◽

pp. 1233-1235

Author(s):

E. F. Burmistrov ◽

N. M. Maslov

Keyword(s):

Variable Thickness ◽

Circular Plates ◽

Plates Of Variable Thickness

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The Bending of Symmetrically Loaded Circular Plates of Variable Thickness under Uniform Compression

Aeronautical Quarterly ◽

10.1017/s0001925900004455 ◽

1968 ◽

Vol 19 (1) ◽

pp. 59-70

Author(s):

R. S. Dhaliwal

Keyword(s):

Variable Thickness ◽

Circular Ring ◽

Maximum Deflection ◽

Circular Plates ◽

Uniform Compression ◽

Varying Thickness ◽

Ring Plate ◽

Plates Of Variable Thickness

SummaryThe solution has been obtained for the problem of a uniformly compressed and symmetrically loaded circular ring plate of linearly varying thickness. Four particular cases have been discussed and numerical values of the maximum deflection have been obtained for various sizes of the hole of the ring.

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