A new method of fictitious viscous damping determination for the dynamic relaxation method

2011 ◽  
Vol 89 (9-10) ◽  
pp. 783-794 ◽  
Author(s):  
M. Rezaiee-pajand ◽  
M. Kadkhodayan ◽  
J. Alamatian ◽  
L.C. Zhang
Keyword(s):  
Relaxation Method ◽  
New Method ◽  
Viscous Damping ◽  
Dynamic Relaxation ◽  
Dynamic Relaxation Method

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.

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.

Dynamic-relaxation solution for the large deflection of plates with specified boundary stresses

1969 ◽  
Vol 4 (2) ◽  
pp. 75-80 ◽  
Author(s):  
K R Rushton
Keyword(s):  
Large Deflection ◽  
Relaxation Method ◽  
Plane Boundary ◽  
Dynamic Relaxation ◽  
Simply Supported ◽  
Von Karman ◽  
Relaxation Solution ◽  
Von Kármán Equations ◽  
Mesh Spacing ◽  
Dynamic Relaxation Method

The von Kármán equations for the large deflection of plates are solved by the dynamic-relaxation method. Detailed results are presented for square plates having simply supported edges with zero in-plane boundary stresses. The results show that high stresses occur towards the corners of the plates. The mesh effect is investigated and recommendations are made for the optimum mesh spacing.

Form-finding of deployable mesh reflectors using dynamic relaxation method

2018 ◽  
Vol 151 ◽  
pp. 380-388 ◽  
Author(s):  
Xinyu Wang ◽  
Jianguo Cai ◽  
Ruiguo Yang ◽  
Jian Feng
Keyword(s):  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Dynamic Relaxation Method

A Digital Computer Solution of the Laplace Equation Using the Dynamic Relaxation Method

1968 ◽  
Vol 19 (4) ◽  
pp. 375-387 ◽  
Author(s):  
K. R. Rushton ◽  
Lucy M. Laing
Keyword(s):  
Laplace Equation ◽  
Iterative Process ◽  
Basic Equation ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Computer Solution ◽  
Relaxation Solution ◽  
Simple Substitution ◽  
Dynamic Relaxation Method ◽  
Explicit Finite Difference

SummaryThe Dynamic Relaxation solution of the Laplace equation introduces dynamic terms into the basic equation. When this is written as an explicit finite difference formulation it can be solved by an iterative process which only requires a simple substitution routine. The method is easy to programme and requires small storage in the computer. By studying problems involving wind tunnel interference in steady flow, the potentialities of the method are demonstrated.

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.

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