Energy theorems for solving equations of deflections
type: Item
instance of: scholarly article
title: Energy theorems for solving equations of deflections
zbMATH Open document ID: 0611.73056
DOI: 10.1007/BF01897647
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1981-01-01T00:00:00Z
review text: The unit-dummy-load method is generalized on the basis of Castigliano's theorem. On these grounds the general equations of deflection surfaces of the structures, such as a kind of beams, plates and shells, are directly derived by the force method. We derived the equations of the deflection surfaces of the rectangular thin plates and thick plates considering the effect of transverse shearing deformations with the inhomogeneous displacement boundary conditions. At the same time we give the equations of deflection axes of the corresponding straight beams. The applications of the reciprocal theorem are also generalized. Three simple calculated examples are given.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3988831
zbMATH Keywords: unit-dummy-load method
zbMATH Keywords: Castigliano's theorem
zbMATH Keywords: general equations of deflection surfaces
zbMATH Keywords: beams, plates
zbMATH Keywords: shells
zbMATH Keywords: force method
zbMATH Keywords: transverse shearing deformations
zbMATH Keywords: inhomogeneous displacement boundary conditions
zbMATH Keywords: equations of deflection axes
zbMATH Keywords: reciprocal theorem
author: Bao-lian Fu
MaRDI profile type: Publication
cites work: Q4397397
cites work: Q5722857
cites work: Two numerical methods that converge to the method of least squares
cites work: Q4480720
full work available at URL: https://doi.org/10.1007/bf01897647
OpenAlex ID: W2003279064
description: scientific article; zbMATH DE number 3988831