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No.8 (1975/03) >

 
Title :APPLICATION OF DISCRETE VARIATIONAL TECHNIQUES TO THE ANALYSIS OF LATTICED SHELLS
Authors :Oshiro, Takeshi
Authors alternative :大城, 武
Issue Date :30-Jan-1975
Abstract :The techniques of discrete field mechanics, a new concept in structural analysis, are used in conjunction with energy methods to obtain an exact mathematical model to represent a latticed shell subjected to flexure and corresponding solutions. The method developed is designated here as the discrete variational approach and its usefulness has proven especially effective for the analysis of latticed shells with general types of boundary supports, such as free or ribbed polygonal edges. Essentially, the method is based on the application of the calculus of variations in discrete field mechanics developed in Appendix A to the concept of the Micro Approach used in field analysis. The immediate results are: (a) The mathematical model which can be used for the linear or non-linear analysis of latticed structures (b) A clear statement of the natural boundary conditions associated with each system (c) Closed form solutions to the total model described by the steps (a) and (b) A further development of the method, the modified discrete variational method analogous to the method of Lagrange multipliers, is presented in the same appendix and enables one to obtain with relative ease closed form solutions to structures which were not amenable by conventional methods because of the complexity of the boundary conditions. Such solutions are valid over the entire structure and are independent of the size of the system. The buckling condition of latticed shells is also investigated by this method in the work presented in Chapter IV which clarifies on a rational basis the behavior of the compressed members as an integral part of the entire system. Each solution presented in this paper has been investigated numerically and compared with results obtained by open form methods. The comparison shows significant accuracy and the great reliability of the technique proposed here.
Type Local :紀要論文
ISSN :0387-429X
Publisher :琉球大学理工学部
URI :http://hdl.handle.net/20.500.12000/26296
Citation :琉球大学理工学部紀要. 工学篇 = Bulletin of Science & Engineering Division, University of the Ryukyus. Engineering no.8 p.125 -211
Appears in Collections:No.8 (1975/03)

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