Journal ArticleDOI
Buckling of beams and plates onto an intermediate support studied by the dynamic relaxation method
P M Hook,K R Rushton +1 more
TLDR
In this article, a modified form of the dynamic relaxation method is used to deal with problems involving beams or plates which deflect until contact is made with internal restraints, and three particular problems are examined.Abstract:
Problems involving beams or plates which deflect until contact is made with internal restraints are examined using a modified form of the dynamic relaxation method. Three particular problem...read more
Citations
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Journal ArticleDOI
Mixing dynamic relaxation method with load factor and displacement increments
TL;DR: In this paper, a new variable load factor is proposed for dynamic relaxation method, which is based on the minimizing of the unbalanced displacement, and several numerical tests are performed to prove the capability and efficiency of the presented scheme.
Journal ArticleDOI
Finding equilibrium paths by minimizing external work in dynamic relaxation method
TL;DR: In this article, a load factor is proposed to minimize the work increment of the external loads with respect to the load factor, which is only dependent on the fictitious parameters of the DR strategy.
Journal ArticleDOI
A Comparison of Large Deflection Analysis of Bending Plates by Dynamic Relaxation
TL;DR: In this paper, various dynamic relaxation methods are investigated for geometric nonlinear analysis of bending plates, including Underwood and Rezaiee-Pajand & Alamatian processes.
The state of the art in Dynamic Relaxation methods for structural mechanics Part 1: Formulations
TL;DR: Solutions of structural problems along with kinetic and viscous damping formulations are discussed and analyses of the existing studies and suggestions for future research trends are presented.
Journal ArticleDOI
Finding buckling points for nonlinear structures by dynamic relaxation scheme
TL;DR: In this paper, a new way for calculating the load factor is proposed by setting the external work zero, which can trace the complex structural static paths, even in the snap-back and snap-through parts.
References
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Journal ArticleDOI
Dynamic-relaxation solutions of elastic-plate problems
TL;DR: In this paper, the analysis of the static deformation of elastic plates is achieved by studying the dynamic problem of the damped oscillation of the plate and arranging that the oscillations are rapidly reduced to zero by a suitable choice of the damping factor.
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Post-Buckling of Rectangular Plates with Various Boundary Conditions
TL;DR: In this article, the Dynamic Relaxation method is used to analyse the post-buckling of flat rectangular plates, and extensive results are obtained for two types of problem in which the transverse edges remain straight, in the other they are free to wave.
Journal ArticleDOI
Simply supported plates with corners free to lift
TL;DR: In this paper, the lifting of corners from the supports of laterally loaded plates is discussed, and a method of analysing the problem for both the small and the large deflection of plates is described; this method is based on the dynamic relaxation technique.
Journal ArticleDOI
Large deflection of plates with unsupported edges
TL;DR: In this article, a method of including the unsupported edge condition in the large deflection of rectangular plates is proposed, which use a finite-difference technique based on the dynamic relaxation method.