DESIGN OF SHELL SHAPE USING FINITE-ELEMENTS

被引：8

作者：

MOHR, GA

机构：

[1] Civil Engineering Department. Caulfield Institute of Technology, Melbourne

来源：

COMPUTERS & STRUCTURES | 1979年 / 10卷 / 05期

关键词：

D O I：

10.1016/0045-7949(79)90038-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A finite triangular facet element for the analysis of doubly curved thin shells is presented, the principal feature of which is a particularly simple resolution process. A simple iterative design procedure is developed, the optimality criteria of which are the elimination of bending and the minimization of the surface integral of the membrane stresses. The procedure is used to obtain numerical predictions of the optimal shapes for constant thickness arches and shells that are in good agreement with those expected. Finally, the procedure is extended to provide an optimal shape for a uniform thickness arch dam and an iterative procedure used to provide an optimal thickness variation. © 1979.

引用

页码：745 / 749

页数：5

共 13 条

[1]

Niordson, Pedersen, A review of optimal structural design, Proc. 13th. Int. Cong. Theoretical Applied Mech., pp. 264-278, (1972)

[2]

Flugge, Stresses in Shells, (1973)

[3]

Shield, On the optimum design of shells, Journal of Applied Mechanics, 27, pp. 316-322, (1960)

[4]

Sharpe, The optimum design of arch dams, Proc. ICE, pp. 73-98, (1969)

[5]

Reinschmidt, The optimum shape of cooling towers, Comput. Structures, 5, pp. 321-325, (1975)

[6]

Francavilla, Ramakrishnan, Structural shape optimisation using penalty functions, J. Struct. Mech., 3, pp. 403-421, (1975)

[7]

Zienkiewicz, The Finite Element Method in Engineering Science, (1971)

[8]

Cowper, Lindberg, Olson, New developments in the finite element analysis of shells, Nat. Res. Council of Canada, DME/NAE Quart. Bulletin, 4, (1969)

[9]

Gallagher, Thomas, A triangular element based on generalized potential energy concepts, Finite Elements for Thin Shells and Curved Members, pp. 155-169, (1976)

[10]

Dawe, High order triangular finite element for shell analysis, Int. J. Solids Structures, 11, pp. 1097-1110, (1975)

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