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.

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.

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.

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

Efficiency of Dynamic Relaxation Method in Form-Finding Process of Cable-Membrane Structures

2015 ◽  
Vol 769 ◽  
pp. 260-263
Author(s):  
Milos Huttner ◽  
Jiri Maca ◽  
Petr Fajman
Keyword(s):  
Mass Distribution ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Form Finding ◽  
Dynamic Relaxation Method

This study is focused on the form-finding process of cable-membrane structures using the dynamic relaxation method with kinetic damping. Eight different schemas of the dynamic relaxation method are compared in the paper. The effect of mass distribution along the structure is also of interest. The efficiency and stability of each process are compared on selected 3D examples of cable-membrane structures.

NONLINEAR STRUCTURAL ANALYSIS USING DYNAMIC RELAXATION METHOD WITH IMPROVED CONVERGENCE RATE

2010 ◽  
Vol 07 (04) ◽  
pp. 627-654 ◽  
Author(s):  
M. REZAIEE-PAJAND ◽  
S. R. SARAFRAZI
Keyword(s):  
Structural Analysis ◽  
Convergence Rate ◽  
Relaxation Method ◽  
Optimal Time ◽  
Dynamic Relaxation ◽  
Time Step ◽  
Nonlinear Structural Analysis ◽  
Nonlinear Structural ◽  
Dynamic Relaxation Method ◽  
Critical Damping

This paper develops the optimal time-step ratio and the critical damping for nonlinear structural analysis, when using dynamic relaxation method (DRM). The convergence rate of the DRM depends on the value of the time step and the critical damping factor. In the present study, the effect of the time-step ratio is separated from the time-step value. Additionally, the effect of the eigenvalue on the error function is investigated. Using the eigenvalue definition, the critical damping is updated in each dynamic relaxation (DR) step to decrease the required computations. Moreover, the optimal time-step ratio is calculated. It is also shown that the value of the constant time step has no effect on the rate of convergence. The proposed procedure provides a simple and accelerated DRM, which can be used in the linear and nonlinear analyses of structures. The efficiency of the new method was verified by its application to a wide range of typical structures. The results show that the suggested scheme accelerates the convergence rate of the DR process.

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