Abstract
The present article researches several problems about the lateral instability, of cantilever plates by means of the energy method, in which we discuss the minimum critical load of cantilever rectangular plates under a concentrated force, a uniformly distributed load, a distributed load in triangular form and a concentrated couple, respectively, when the lateral buckling takes place.
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References
Timoshenko, S.,Theory of Elastic Stability (1936).
Chajes, L.,Principles of Structural Stability Theory, Prentice-Hall, Inc. (1974).
Galambos, T. V., Inelastic lateral buckling of beams,Jour. of Struct. Divis., ASCE,89, ST5 (1963).
Rayleigh, J.W.S.,Theory of Sound, Macmillan and Co., Ltd., London (1877).
Ritz, W., On a new method for solving some variational problems in mathematical physicsJour for Pure and Appl. Mathe.,135 (1908), 1–61. (in German)
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Communicated by Pan Li-zhou
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Xiang-sheng, C. On several problems for lateral instability of cantilever plates. Appl Math Mech 9, 787–792 (1988). https://doi.org/10.1007/BF02465402
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DOI: https://doi.org/10.1007/BF02465402