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On the Method of Asymptotic Expansions for Plates
Author(s) -
Molnárka Gy.
Publication year - 1991
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19910710907
Subject(s) - asymptotic expansion , interpretation (philosophy) , method of matched asymptotic expansions , mathematics , mathematical analysis , deformation (meteorology) , asymptotic analysis , calculus (dental) , computer science , differential equation , physics , medicine , dentistry , meteorology , programming language
The method of asymptotic expansion is an efficient method for simplifying complicated mathematical problems. But if the small parameter is a geometric one the physical interpretation of the result is more difficult. Here we present a new asymptotic expansion connected with the equation describing the deformation of linear plates. The steps of this method can be physically interpreted analoguosly as in the earlier methods however the resulting equation is different.