The Modified Dynamic Relaxation Method for the Form-Finding of Membrane Structures

2011 ◽  
Vol 4 (8) ◽  
pp. 2845-2853 ◽  
Author(s):  
Jihong Ye ◽  
Ruoqiang Feng ◽  
Shulu Zhou
Keyword(s):  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Membrane Structures ◽  
Form Finding ◽  
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.

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.

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

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.

Tensegrity Form-Finding Using Finite Particle Method

2011 ◽  
Vol 201-203 ◽  
pp. 1166-1169
Author(s):  
Xian Xu ◽  
Ying Yu ◽  
Yao Zhi Luo ◽  
Yan Bin Shen
Keyword(s):  
Large Scale ◽  
Particle Method ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Mathematical Functions ◽  
Tensegrity Systems ◽  
Effective Form ◽  
Dynamic Relaxation Method ◽  
Finite Particle

In this paper, a new method, so-called finite particle method, for form-finding of tensegrity systems is proposed. It models the analyzed domain by finite particles instead of mathematical functions and continuous bodies in traditional mechanics. Examples including simple regular tensegrity systems and complex irregular tensegrity systems are carried out to verify the feasibility and effectiveness of the method. Also a comparison between the proposed method and the dynamic relaxation method is conducted. It proves that the proposed method is much more effective than the dynamic relaxation method in the form-finding of large-scale tensegrity systems. Hence, the proposed method has a great potential of developing into a general and effective form-finding method for irregular and large-scale tensegrity systems.

scholarly journals Estimation Of Young’s Modulus Of Elesticity By The Form Finding Of Grid Shell Structures By The Dynamic Relaxation Method

2015 ◽  
Vol 23 (4) ◽  
pp. 25-30 ◽  
Author(s):  
Ivana Grančičová ◽  
Ján Brodniansky
Keyword(s):  
Young’S Modulus ◽  
Young's Modulus ◽  
Relaxation Method ◽  
Dynamic Relaxation ◽  
Form Finding ◽  
Grid Shell ◽  
Important Input ◽  
Internal Forces ◽  
Considerable Impact ◽  
Dynamic Relaxation Method

Abstract The paper is basically focused on the process of form finding by the dynamic relaxation method (DRM) with the aid of computational tools that enable us to make many calculations with different inputs. There are many important input values with a significant impact on the course of the calculations and the resulting displacement of a structure. One of these values is Young’s modulus of elasticity. This value has a considerable impact on the final displacement of a grid shell structure and the resulting internal forces.

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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