Abstract
In this paper, δ-function is used to construct the generalized biharmonic operators, the coresponding quadratic function is presented, and the latter is applied to the bending of elastic thin plates. The result shows that when the arguments in the variational functional are generalized functions, discontinuity to some degree is allowed, and the modified variational principle by using the Lagrange, multipliers is merely a special form of the result mentioned above.
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Communicated by Tang Li-min
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Zhong-zhi, Y. Generalized biharmonic operator and its application to the bending of elastic thin plates. Appl Math Mech 15, 167–174 (1994). https://doi.org/10.1007/BF02451052
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DOI: https://doi.org/10.1007/BF02451052