An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis

Song, Quansheng; Chen, Pu; Sun, Shichao

doi:10.1016/j.compstruc.2014.07.014

Cited by 40 publications

(36 citation statements)

References 18 publications

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“…Huang et al developed the independent coefficients (IC) method for large-scale problems [27]. Song et al proposed a direct reanalysis algorithm by updating the triangular factorization in sparse matrix solution [28]. Compared with DMs, approximate methods usually do not obtain an exact solution.…”

Section: / 42mentioning

confidence: 99%

Closed loop geometry based optimization by integrating subdivision, reanalysis and metaheuristic searching techniques

Huang

Wang

et al. 2017

Computers & Structures

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A closed loop geometry based optimization method is developed in this work by integrating subdivision, reanalysis and metaheuristic searching techniques. For that purpose, subdivision surfaces using triangle meshes are simultaneously applied to CAD (computer aided design) modeling and CAE (computer aided engineering) analysis. In this framework, feature objects are defined by the subdivision model, so that the subdivision models can be controlled by geometric parameters. Global optimization with metaheuristic algorithms is then performed, and an independent coefficients (IC) reanalysis method is introduced to enhance the efficiency of optimization. In order to improve the accuracy of triangular meshes, the ES-FEM (edge-based smoothed finite element method) technique is employed for analysis work. The proposed approach is successfully tested in three real engineering geometry optimization problems.

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Section: / 42mentioning

confidence: 99%

Closed loop geometry based optimization by integrating subdivision, reanalysis and metaheuristic searching techniques

Huang

Wang

et al. 2017

Computers & Structures

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“…To this goal, a number of methods (Kirsch, 2008) have been proposed to ease the eigenvalue reanalysis for the modified structures, instead of performing full structural modal analysis. Generally, these reanalysis methods are classified into two categories (Song et al, 2014). First, direct methods are commonly based on the Sherman-Morrison-Woodbury (SMW) formula (Akgün et al, 2001) that is applicable for large but local (or low-rank) modifications.…”

Section: Approximate Aeroelastic Characteristics Evaluation Methods 3mentioning

confidence: 99%

An efficient implementation of aeroelastic tailoring based on efficient computational fluid dynamics-based reduced order model

Gong

Ronch

et al. 2019

Journal of Fluids and Structures

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Current and future trends in the aerospace industry leverage on the potential benefits provided by lightweight materials that can be tailored to realize desired mechanical characteristics when loaded. For aircraft design, the deployment of aeroelastic tailoring is hindered by the need to re-compute, for any possible modification of the structure, the dependence of the aerodynamic field on the underlying structural properties. To make progress in this direction, the work presents a rapid computational fluid dynamics based aeroelastic tool which is built around a reduced order model for the aerodynamics that is updated for any modification of the structure by using the structural dynamics reanalysis method. The aeroelastic tailoring tool is demonstrated in transonic flow for the AGARD 445.6 wing, suitably modified with composite materials. It was found that the proposed method provides accurate engineering predictions for the aeroelastic response and stability when the structure is modified from the baseline model.

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“…Sequentially, the level set methods (LSMs) were applied to X-FEM which could easily track both the crack position and tips (Stolarska et al, 2001). Moreover, the X-FEM has much more applications (Ahmed et al, 2012;Areias et al, 2005;Belytschko et al, 2003;Chessa et al, 2002;Huynh et al, 2009;J.-H. Song et al, 2006;Sukumar et al, 2001;Zhuang et al, 2011;Zilian et al, 2008). More details of the development of X-FEM can be found in the literature (Abdelaziz et al, 2008;Belytschko et al, 2009;Fries et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

How to control the crack to propagate along the specified path feasibly?

Cheng

Wang

2018

Computer Methods in Applied Mechanics and Engineering

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A controllable crack propagation (CCP) strategy is suggested. It is well known that crack always leads the failure by crossing the critical domain in engineering structure. Therefore, the CCP method is proposed to control the crack to propagate along the specified path, which is away from the critical domain. To complete this strategy, two optimization methods are engaged. Firstly, a back propagation neural network (BPNN) assisted particle swarm optimization (PSO) is suggested. In this method, to improve the efficiency of CCP, the BPNN is used to build the metamodel instead of the forward evaluation. Secondly, the popular PSO is used. Considering the optimization iteration is a time consuming process, an efficient reanalysis based extended finite element methods (X-FEM) is used to substitute the complete X-FEM solver to calculate the crack propagation path. Moreover, an adaptive subdomain partition strategy is suggested to improve the fitting accuracy between real crack and specified paths. Several typical numerical examples demonstrate that both optimization methods can carry out the CCP. The selection of them should be determined by the tradeoff between efficiency and accuracy.

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An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis

Cited by 40 publications

References 18 publications

Closed loop geometry based optimization by integrating subdivision, reanalysis and metaheuristic searching techniques

Closed loop geometry based optimization by integrating subdivision, reanalysis and metaheuristic searching techniques

An efficient implementation of aeroelastic tailoring based on efficient computational fluid dynamics-based reduced order model

How to control the crack to propagate along the specified path feasibly?

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