A Method for Investigating Certain Eigenvalue Problems of the Buckling and Vibration of Plates
Keyword(s):
In a recent investigation, a method was given for the approximate solution of certain boundary-value problems. This method lends itself well to the use of the electronic digital computer and is extended here to investigate the eigenvalue problems of the buckling under two-dimensional hydrostatic loading and the vibration of thin plates. The two-dimensional hydrostatic buckling loads of clamped square and equilateral-triangular plates are found by this method, the values agreeing well with the results obtainable by other methods where these results are known.
1976 ◽
Vol 10
(3)
◽
pp. 527-533
◽
Testing convergence schemes on the solution of two‐dimensional boundary value problems in elasticity
1990 ◽
Vol 88
(2)
◽
pp. 894-900
2013 ◽
Vol 191
(3)
◽
pp. 449-463
◽
2019 ◽
Vol 57
(2)
◽
pp. 751-778
◽