有限要素法を媒介としたRitz法

概要

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Though the Finite Element Method has the wide ability to solve the structural problem of various types, its solutions are too many to handle, and, owing to their discrete quality, are inadequate to be analized mathematically. This difficulty will be not a little impediment for the analysis of non-linear problem, structural optimization, and so on, where the calculations are iterative, and the analytical treatment is required for each solutions. Then it will be desirable if the solutions are given in the form of the Ritz solutions, where its number is reduced to the compact size, and its quality is continuous. In this paper, to compensate the difficulty that Ritz Method is not easy to be adopted for general use, the algorithm of the Finite Element Metheod is introduced to the Ritz method. Some examples of the calculations by this algorithm are indicated and its effectiveness is argued.
社団法人日本船舶海洋工学会の論文