Wrinkling Analysis of Pre-Stressed Rectangular Membranes Using Element-Free Galerkin Method

Unnikrishnan, K. R.; Krishna, I. R. Praveen; Arun, C. O.

doi:10.1142/s0219876220410017

Cited by 3 publications

(1 citation statement)

References 35 publications

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“…The active wrinkle reduction technique is suggested by Wang et al 25 The active wrinkle reduction method needs a dedicated power source and the sensor and actuation unit, which makes the system complex. Unnikrishnan et al 26 have used an Element-Free Galerkin Method (a meshless method) for the wrinkling analysis. Sakamoto et al 27 used boundary web cable techniques for maintaining the bi-axial state of stresses using the suspension cable.…”

Section: Introductionmentioning

confidence: 99%

Investigation on material combination technique to enhance the anti-wrinkle and anti-vibration characteristics of the planar membrane reflector

Shinde

Kumar

Upadhyay

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In recent trends, membrane structure has increased its applications in space missions due to its significant advantages, such as light in weight, higher folding and packaging efficiency, ease of deployment, and low on-Board volume requirement. The wrinkling and low natural frequency of vibration are the major problems with the membrane structure. This research presents a novel methodology of Kapton-Kevlar material combination for a planar membrane reflector to enhance anti-vibration and anti-wrinkling capabilities of the membrane structure. The comparative study is made for the wrinkle area, RMS error, and natural frequency of vibration with the employed approach. This study provides new insights into a material combination technique to increase performance characteristics of the space-borne membrane reflectors. The outcome of the wrinkling analysis is compared and found to be consistent with the method available in the literature. From the simulation results, it is observed that wrinkles are reduced, and the natural frequency of vibration is also increased significantly with the proposed method.

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Section: Introductionmentioning

confidence: 99%

Investigation on material combination technique to enhance the anti-wrinkle and anti-vibration characteristics of the planar membrane reflector

Shinde

Kumar

Upadhyay

2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems

Sun

Wang

Wei

et al. 2023

Engineering Analysis with Boundary Elements

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An Improved Element-Free Galerkin Method Based on the Dimension Splitting Moving Least-Squares Method for 2D Potential Problems in Irregular Domains

Sun

Wang

et al. 2022

Int. J. Appl. Mechanics

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By introducing the dimension splitting (DS) method into the moving least-squares (MLS) approximation, a dimension splitting moving least-squares (DS-MLS) method is proposed in this paper. In the DS-MLS method, the operator splitting and independent variable splitting of the DS method are used to reduce the dimension, thereby reducing the computational complexity of the matrix. The shape function of the DS-MLS method has the advantages of simple derivation and high computational efficiency. Then, by coupling DS-MLS method and Galerkin weak form, and performing the coordinate transformation, an improved element-free Galerkin method (IEFGM) based on the DS-MLS method is proposed for two-dimensional (2D) potential problems on irregular domains. The effectiveness of the method in this paper is verified by some numerical examples. The numerical results show that, compared with the element-free Galerkin (EFG) method, the IEFGM based on the DS-MLS method in this paper consumes less CPU time and has higher computational accuracy for some 2D potential problems on irregular domains.

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Wrinkling Analysis of Pre-Stressed Rectangular Membranes Using Element-Free Galerkin Method

Cited by 3 publications

References 35 publications

Investigation on material combination technique to enhance the anti-wrinkle and anti-vibration characteristics of the planar membrane reflector

Investigation on material combination technique to enhance the anti-wrinkle and anti-vibration characteristics of the planar membrane reflector

An improved meshless method based on the dimension splitting moving least-squares method for elasticity problems

An Improved Element-Free Galerkin Method Based on the Dimension Splitting Moving Least-Squares Method for 2D Potential Problems in Irregular Domains

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