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On the Solution of Plates and Shells Mixed Boundary Problems

by Igor Andrianov, Dniepropetrovsk Inst of Civil, Engineering, Dniepropetrovsk, Russia,
Andrey Ivankov, Dniepropetrovsk Inst of Civil, Engineering, Dniepropetrovsk, Russia,



Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

Abstract:

Strain-stress state analysis on plates and shells under mixed boundary conditions is of significant practical value: a lot of problems, arisen in machine design, civil engineering etc., are reduced to similar ones. The problems mentioned are usually solved using numerical methods such as finite element procedure. Nevertheless, numerical approach does not adequately meet the requirements of optimal structural design ideology. Approximate analytical expression, accurate enough, will be of great practical advantage for these needs. Effective analytical approach, combining boundary conditions perturbation technique and Pade approximants of perturbation series, is presented in this paper.

Subject Headings: Plates | Stress strain relations | Numerical methods | Structural design | Strain | Shell structures | Finite element method

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