Bending of Rectangular Plates with Variable Rigidities

ISSAM E. HARIK; DORIAN R. SFEIR

doi:10.1111/j.1467-8667.1988.tb00253.x

Bending of Rectangular Plates with Variable Rigidities

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Abstract

A microcomputer‐oriented semianalytical method of solution is presented for rectangular plates with variable rigidity or thickness. The solution procedure is based on the classical method of separation of variables. The two‐dimensional governing partial differential equation is first reduced to and ordinary difference equation. The classical unidirectional finite‐difference method is then employed to solve the resulting ordinary differential equation. Results are presented for plates with different edge and loading conditions. Results for partially loaded plates with variable rigidity or thickness are presented in the literature for the first time.

Original language	English
Pages (from-to)	245-255
Number of pages	11
Journal	Computer-Aided Civil and Infrastructure Engineering
Volume	3
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-8667.1988.tb00253.x
State	Published - Sep 1988

ASJC Scopus subject areas

Civil and Structural Engineering
Building and Construction
Computer Science Applications
Computer Graphics and Computer-Aided Design
Computational Theory and Mathematics

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10.1111/j.1467-8667.1988.tb00253.x

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title = "Bending of Rectangular Plates with Variable Rigidities",

abstract = "A microcomputer‐oriented semianalytical method of solution is presented for rectangular plates with variable rigidity or thickness. The solution procedure is based on the classical method of separation of variables. The two‐dimensional governing partial differential equation is first reduced to and ordinary difference equation. The classical unidirectional finite‐difference method is then employed to solve the resulting ordinary differential equation. Results are presented for plates with different edge and loading conditions. Results for partially loaded plates with variable rigidity or thickness are presented in the literature for the first time.",

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AU - SFEIR, DORIAN R.

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N2 - A microcomputer‐oriented semianalytical method of solution is presented for rectangular plates with variable rigidity or thickness. The solution procedure is based on the classical method of separation of variables. The two‐dimensional governing partial differential equation is first reduced to and ordinary difference equation. The classical unidirectional finite‐difference method is then employed to solve the resulting ordinary differential equation. Results are presented for plates with different edge and loading conditions. Results for partially loaded plates with variable rigidity or thickness are presented in the literature for the first time.

AB - A microcomputer‐oriented semianalytical method of solution is presented for rectangular plates with variable rigidity or thickness. The solution procedure is based on the classical method of separation of variables. The two‐dimensional governing partial differential equation is first reduced to and ordinary difference equation. The classical unidirectional finite‐difference method is then employed to solve the resulting ordinary differential equation. Results are presented for plates with different edge and loading conditions. Results for partially loaded plates with variable rigidity or thickness are presented in the literature for the first time.

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Bending of Rectangular Plates with Variable Rigidities

Abstract

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