论文信息 - An adaptive finite element technique for plate structures

An adaptive finite element technique for plate structures

A finite element technique is described which produces a sequence of improved solutions for static analysis of plate bending problems. Adaptive mesh refinement is used to improve an initially uniform mesh which was generated from boundary geometry only. Emphasis is placed upon producing high-quality results using only a single refinement. The method is applied to both bending and stretching problems for which solutions were available from the literature.

M. E. Botkin

[1] Leon M. Gilbert,et al. A REYNOLDS NUMBER SCALING THEORY FOR HYPERSONIC ABLATION. , 1967 .

[2] Lawrence L. Durocher,et al. A versatile two-dimensional mesh generator with automatic bandwidth reduction , 1979 .

[3] P. A. Gnoffo,et al. A vectorized, finite-volume, adaptive grid algorithm applied to planetary entry problems , 1982 .

[4] I. Babuska,et al. Adaptive approaches and reliability estimations in finite element analysis , 1979 .

[5] W. E. Carroll. On the reformulation of the finite element method , 1978 .

[6] J. Cavendish. Automatic triangulation of arbitrary planar domains for the finite element method , 1974 .

[7] M. E. Botkin,et al. Structural shape optimization with geometric description and adaptive mesh refinement , 1985 .

[8] M. Botkin,et al. Shape optimization of two-dimensional structures with geometric problem description and adaptive mesh refinement , 1983 .

[9] D. J. Turcke,et al. Guidelines for selecting finite element grids based on an optimization study , 1974 .

[10] K. S. Lo,et al. Computer analysis in cylindrical shells , 1964 .

[11] P. Marcal,et al. An energy basis for mesh refinement of structural continua , 1977 .

[12] Ivo Babuška,et al. The p-Version of the Finite Element Method for Parabolic Equations. Part 1 , 1981 .