A novel dynamic isogeometric reanalysis method and its application in closed-loop optimization problems

Wu, Yunqiang; Wang, Hu; Liu, Juanjuan; Zhang, Shuai; Huang, Hongfei

doi:10.1016/j.cma.2019.04.039

Cited by 13 publications

(2 citation statements)

References 41 publications

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“…It is challenging due to difficulties in selecting appropriate deflection functions that accurately represent plate deformation while satisfying the often complex boundary conditions of VSC materials, [34]. In these special cases, it is suggested to employ the Rayleigh-Ritz method in combination with an isogeometric analysis (IGA) to accurately model the highly anisotropic behavior of composite materials, but challenges may still arise in selecting the appropriate deflection functions that satisfy the boundary conditions, [35,36]. In general, engineers must carefully select the deflection functions and accurately model the material properties of composite plates to optimize the design and improve their buckling resistance and performance.…”

Section: Discussionmentioning

confidence: 99%

Buckling Analysis of Laminated Stiffened Plates with Material Anisotropy Using the Rayleigh–Ritz Approach

Stamatelos

Labeas

2023

Computation

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An energy-based solution for calculating the buckling loads of partially anisotropic stiffened plates is presented, such as antisymmetric cross-ply and angle-ply laminations. A discrete approach, for the mathematical modelling and formulations of the stiffened plates, is followed. The developed formulations extend the Rayleigh–Ritz method and explore the available anisotropic unstiffened plate buckling solutions to the interesting cases of stiffened plates with some degree of material anisotropy. The examined cases consider simply supported unstiffened and stiffened plates under uniform and linearly varying compressive loading. Additionally, a reference finite element (FE) model is developed to compare the calculated buckling loads and validate the modelling approach for its accuracy. The results of the developed method are also compared with the respective experimental results for the cases where they were available in the literature. Finally, an extended discussion regarding the assumptions and restrictions of the applied Rayleigh–Ritz method is made, so that the limitations of the developed method are identified and documented.

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Section: Discussionmentioning

confidence: 99%

Buckling Analysis of Laminated Stiffened Plates with Material Anisotropy Using the Rayleigh–Ritz Approach

Stamatelos

Labeas

2023

Computation

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“…When designing optimal structures, iterative analysis or reanalysis is often very necessary if solving a given design optimization requires a lot of computational and computer time. Reanalysis methods render it possible to reduce just this time (Wu et al [15], Sága et al [16]). The reduction in computational time itself is based on the fact that a substantial part of the information about the modified design can be obtained by using the results from the solution of the original design.…”

Section: Discussionmentioning

confidence: 99%

Application of Reanalysis Methods in Structural Mechanics

Delyová

Frankovský

Bocko

et al. 2022

International Journal of Applied Mechanics and Engineering

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When designing structures, it is often necessary to re-analyse a structure that is different in some parts from the original one. As real structures are often complex, their analysis is therefore very challenging. In such cases, reanalysis methods are advantageously used. The aim of this paper is to approach the problem of solving the constructions using reanalysis method in which the time taken in solving algebraic equations is reduced. In particular, the purpose of this work is to demonstrate on a chosen system the time savings and the advantages of the chosen direct efficient reanalysis method for a given design problem. A basic condition for meeting these criteria is the modernization of computational procedures in the mechanics of compliant solids.

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Reanalysis of 2D and 3D truss structures considering simultaneous variations in topology, geometry and size

Rezaiee‐Pajand

Momenipour

Hozhabrossadati

2020

Engineering with Computers

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A novel dynamic isogeometric reanalysis method and its application in closed-loop optimization problems

Cited by 13 publications

References 41 publications

Buckling Analysis of Laminated Stiffened Plates with Material Anisotropy Using the Rayleigh–Ritz Approach

Buckling Analysis of Laminated Stiffened Plates with Material Anisotropy Using the Rayleigh–Ritz Approach

Application of Reanalysis Methods in Structural Mechanics

Reanalysis of 2D and 3D truss structures considering simultaneous variations in topology, geometry and size

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