The dynamic relaxation method using new formulation for fictitious mass and damping

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.

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Form-finding of deployable mesh reflectors using dynamic relaxation method

Acta Astronautica ◽

10.1016/j.actaastro.2018.06.017 ◽

2018 ◽

Vol 151 ◽

pp. 380-388 ◽

Cited By ~ 5

Author(s):

Xinyu Wang ◽

Jianguo Cai ◽

Ruiguo Yang ◽

Jian Feng

Keyword(s):

Relaxation Method ◽

Dynamic Relaxation ◽

Form Finding ◽

Dynamic Relaxation Method

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

Aeronautical Quarterly ◽

10.1017/s0001925900004765 ◽

1968 ◽

Vol 19 (4) ◽

pp. 375-387 ◽

Cited By ~ 6

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.

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Cable-Membrane Structures - Numerical Analysis and Practical Application

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.837.99 ◽

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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