Post-buckling analysis of shell and membrane structures by dynamic relaxation method

2000 ◽  
Vol 26 (3) ◽  
pp. 267-272 ◽  
Author(s):  
W. Zhang ◽  
T. Hisada ◽  
H. Noguchi
Keyword(s):  
Relaxation Method ◽  
Buckling Analysis ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Post Buckling ◽  
Dynamic Relaxation Method

Cable-Membrane Structures - Numerical Analysis and Practical Application

2016 ◽  
Vol 837 ◽  
pp. 99-102
Author(s):  
Milos Huttner ◽  
Jiří Maca ◽  
Petr Fajman
Keyword(s):  
Numerical Analysis ◽  
Relaxation Method ◽  
Computation Method ◽  
Practical Application ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Form Finding ◽  
Correct Operation ◽  
Commercial Program ◽  
Dynamic Relaxation Method

This paper presents a practical application of form-finding process of cable-membrane structures. The dynamic relaxation method with kinetic damping is used as the computation method for numerical analysis. A brief description of the construction, a description of the models and the way of solving tasks will be introduced. The correct operation of the implemented algorithm will be compared with a commercial program.

The Efficiency of Dynamic Relaxation Methods in Static Analysis of Cable-Membrane Structures

2014 ◽  
Vol 617 ◽  
pp. 124-129 ◽  
Author(s):  
Miloš Huttner ◽  
Jiří Maca ◽  
Petr Fajman
Keyword(s):  
Static Analysis ◽  
Mass Distribution ◽  
Relaxation Method ◽  
Viscous Damping ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Relaxation Methods ◽  
Dynamic Relaxation Method

This paper is focused on the static analysis of cable-membrane structures using the dynamic relaxation method. Several different processes of dynamic relaxation method are compared in this paper. The techniques with viscous damping and the techniques with kinetic damping are used. The efficiency and stability of each process are compared to selected 3D examples of cable-membrane structures. The effect of mass distribution along the structure is also of interest and it is studied in the paper.

Post-Buckling of Rectangular Plates with Various Boundary Conditions

1970 ◽  
Vol 21 (2) ◽  
pp. 163-181 ◽  
Author(s):  
K. R. Rushton
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Relaxation Method ◽  
Rectangular Plates ◽  
Dynamic Relaxation ◽  
Various Boundary Conditions ◽  
Post Buckling ◽  
Dynamic Relaxation Method ◽  
Theoretical Results

SummaryThe Dynamic Relaxation method is used to analyse the post-buckling of flat rectangular plates. Extensive results are obtained for two types of problem in which the transverse edges are unloaded; in one case the transverse edges remain straight, in the other they are free to wave. Comparisons are made with alternative experimental and theoretical results. The potentiality of this approach to post-buckling problems is demonstrated by considering a variable thickness plate with mixed boundary conditions.

scholarly journals EFFECT OF VISCOUS DAMPING IN NUMERICAL CALCULATION OF CABLE-MEMBRANE STRUCTURES BY THE METHOD OF DYNAMIC RELAXATION

2018 ◽  
Vol 15 ◽  
pp. 36-40
Author(s):  
Miloš Huttner ◽  
Petr Fajman
Keyword(s):  
Numerical Calculation ◽  
Test Procedure ◽  
Relaxation Method ◽  
Viscous Damping ◽  
Speed Of Convergence ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Dynamic Relaxation Method ◽  
Number Of Iterations ◽  
Critical Damping

The aim of this article is to assess the speed of convergence of numerical calculation of cable-membrane structures using dynamic relaxation method in the process of finding critical damping pre-calculated on undamped system. The procedure is tested on four different constructions in six numerical cases. The variety of examples is as large as possible to demonstrate the greatest versatility of the test procedure. The efficiency of the procedure is evaluated based on the number of iterations.

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