Development of Meshless Method Using Least-Squares Method with Geometric Conservation Law for Structural Dynamic Analysis

Sang Woo Lee; Jin Young Huh; Kyu Hong Kim

doi:10.7734/COSEIK.2023.36.1.67

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2023 Vol.36, Issue 1 Preview Page

Research Paper

Development of Meshless Method Using Least-Squares Method with Geometric Conservation Law for Structural Dynamic Analysis 기하학적 보존을 만족하는 최소제곱법을 활용한 무격자 구조해석 기법 개발

28 February 2023. pp. 67-74

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Abstract

A meshless technique using the geometric conservation least-squares method (GC-LSM) was devised to discretize the governing equation of linear elasticity. Although the finite-element method is widely used for structural analysis, a meshless method was developed because of its advantages in a moving grid system. This work is the preliminary phase for developing a fully meshless-based fluid-structure interaction solver. In this study, Cauchy’s momentum equation was discretized in strong form using GC-LSM for the structural domain, and the Newmark beta method was used for time integration. The solver was validated in 1D, 2D, and 3D benchmarking problems. Static and dynamic results were obtained. The results are more accurate than those of analytic solutions.

Keywords

computational structure dynamics

meshless method

geometric conservation least-squares method (GC-LSM)

dynamic analysis

strong form

본 논문은 코시 모멘텀(Cauchy’s Momentum) 방정식을 이산화하기 위해 GC-LSM(Geometric Conservative Least Squares Method)을 사용한 새로운 Meshless 방법을 제시한다. FEM(Finite Element Method) 방법이 구조해석에 널리 사용되고 있지만 무격자 기법은 격자를 이동해야 할 때 장점이 많기 때문에 개발되었다. 본 작업은 무격자 기반의 FSI(Fluid-Structure Interaction) 프로그램을 개발하기 위한 기틀을 다지는 단계이다. 본 논문에서는 Cauchy’s Momentum 방정식을 GC-LSM을 사용하여 강형식 형태로 이산화하였고, 시간 적분을 위해 New Mark Beta 방법을 사용하였다. 개발된 기법은 1D, 2D 및 3D 벤치마킹 문제에서 검증했으며, 정적 해석 및 동적 해석 결과가 해석해와 비교시 매우 정확한 결과를 보여준다.

키워드

전산구조해석

무격자 기법

동적해석

강형식

기히학적 보존 최소제곱법

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Information

Publisher :Computational Structural Engineering Institute of Korea
Publisher(Ko) :한국전산구조공학회
Journal Title :Journal of the Computational Structural Engineering Institute of Korea
Journal Title(Ko) :한국전산구조공학회 논문집
Volume : 36
No :1
Pages :67-74
Received Date : 2023-01-17
Revised Date : 2023-02-06
Accepted Date : 2023-02-06
DOI :https://doi.org/10.7734/COSEIK.2023.36.1.67

Journal of the Computational Structural Engineering Institute of Korea ISSN:1229-3059(Print) 2287-2302(Online) 한국전산구조공학회 논문집

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