Bidirectional evolutionary structural optimization for nonlinear structures under dynamic loads

Shobeiri, Vahid

doi:10.1002/nme.6249

Cited by 17 publications

(5 citation statements)

References 41 publications

(69 reference statements)

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“…A multitude of recent works were also found: LSM with BESO [142], phase-field method with BESO [143], nonlinear structures under dynamic loads [144], non-linear reliability TO [145], buckling TO [146], fatigue considerations [147], crashworthiness TO with BESO [148], frequency optimisation [149,150], BESO with casting constraints [61], and BESO with AM constraints [151][152][153][154][155][156]. Other interesting works are the Iso-Geometric Analysis (IGA) approach with BESO [157], a meshless BESO technique [158], and a parallel framework for BESO [159].…”

Section: Evolutionary Structural Optimisation Methodsmentioning

confidence: 99%

On Topology Optimisation Methods and Additive Manufacture for Satellite Structures: A Review

Hurtado-Pérez,

Pablo-Sotelo,

Ramírez-López

et al. 2023

Aerospace

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Launching satellites into the Earth’s orbit is a critical area of research, and very demanding satellite services increase exponentially as modern society takes shape. At the same time, the costs of developing and launching satellite missions with shorter development times increase the requirements of novel approaches in the several engineering areas required to build, test, launch, and operate satellites in the Earth’s orbit, as well as in orbits around other celestial bodies. One area with the potential to save launching costs is that of the structural integrity of satellites, particularly in the launching phase where the largest vibrations due to the rocket motion and subsequent stresses could impact the survival ability of the satellite. To address this problem, two important areas of engineering join together to provide novel, complete, and competitive solutions: topology optimisation methods and additive manufacturing. On one side, topology optimisation methods are mathematical methods that allow iteratively optimising structures (usually by decreasing mass) while improving some structural properties depending on the application (load capacity, for instance), through the maximisation or minimisation of a uni- or multi-objective function and multiple types of algorithms. This area has been widely active in general for the last 30 years and has two main core types of algorithms: continuum methods that modify continuous parameters such as density, and discrete methods that work by adding and deleting material elements in a meshing context. On the other side, additive manufacturing techniques are more recent manufacturing processes aimed at revolutionising manufacturing and supply chains. The main exponents of additive manufacturing are Selective Laser Melting (SLM) (3D printing) as well as Electron Beam Melting (EBM). Recent trends show that topology-optimised structures built with novel materials through additive manufacturing processes may provide cheaper state-of-the-art structures that are fully optimised to better perform in the outer-space environment, particularly as part of the structure subsystem of novel satellite systems. This work aims to present an extended review of the main methods of structural topology optimisation as well as additive manufacture in the aerospace field, with a particular focus on satellite structures, which may set the arena for the development of future satellite structures in the next five to ten years.

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Section: Evolutionary Structural Optimisation Methodsmentioning

confidence: 99%

On Topology Optimisation Methods and Additive Manufacture for Satellite Structures: A Review

Hurtado-Pérez,

Pablo-Sotelo,

Ramírez-López

et al. 2023

Aerospace

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“…The most examined design case is that considering structural mean compliance minimization, subjected to a volume constraint 7 . Moreover, the latest versions of BESO method have effectively shown a promising performance when considering it for different topology design problems such as geometrically nonlinear 8 , 9 , composite materials 10 , 11 , and elasto-plastic analysis 12 .…”

Section: Introductionmentioning

confidence: 99%

Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material

Habashneh

Rad

2022

Sci Rep

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The aim of this paper is to integrate the reliability-based analysis into topology optimization problems. Consequently, reliability-based topology optimization (RBTO) of geometrically nonlinear elasto-plastic models is presented. For purpose of performing (RBTO), the volume fraction is considered reliable since that the application of (RBTO) gives different topology in comparison to the deterministic topology optimization. The effects of changing the prescribed total structural volume constraint for deterministic designs and changing the reliability index for probabilistic designs are considered. Reliability index works as a constraint which is related to reliability condition added into the volume fraction and it is calculated using the Monte-Carlo simulation approach in the case of probabilistic design. In addition, bi-directional evolutionary structural optimization (BESO) method is utilized to study the effect of geometrically nonlinear elasto-plastic design. The plastic behavior can be controlled by defining a limit on the plastic limit load multipliers. The suggested work's efficiency is demonstrated via a 2D benchmark problem. In case of elastic material, a 2D model of U-shape plate is used for probabilistic design of linear and geometrically nonlinear topology optimizations. Furthermore, a 2D elasto-plastic model is considered for reliability-based design to demonstrate that the suggested approach can determine the best topological solution.

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“…[13][14][15][16][17] However, for dynamic excitation, challenges corresponding to the optimization methods arise from the time-varying nature of the external forces that complicates the analysis for response evaluation and gradient expressions at each iteration of optimization. [18][19][20][21] Although some studies have relaxed the linear material assumption for dynamic excitation in topology optimization, [22][23][24][25] in these studies, nonlinearity is considered through plasticity formulations, and a Newton type scheme is employed to iteratively update the stiffness matrix, at each time-step, due to the nonconstant stiffness matrix until convergence of a residual. Not only does the iterative scheme significantly increases the computational demand, in contrast to linear-elastic material assumption, because the stiffness matrix is changing with respect to the response of the system, a Guyan-type condensation cannot be straightforwardly implemented because of a lack of uniqueness in recovering the individual elements of the full system matrix.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization employing a condensation method for nonlinear structural frames with supplemental mass

Changizi

Warn

2021

Numerical Meth Engineering

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A topology optimization schema employing a condensation method for nonlinear frame structures with supplemental mass subjected to time‐varying excitation is presented. In the context of the design of structural frames, in certain applications, the supplemental mass can be order(s) of magnitude larger than the mass of the system itself. Thus, condensing the system of governing equations to only those associated with the supplemental mass, reduces the complexity and computational cost of the dynamic analysis and thus the optimization process. In addition to considering material nonlinearity, distributed plasticity, and multiaxial interactions, the hysteretic beam finite element (FE) model employed in this study has constant elastic stiffness and hysteretic matrices facilitating a Guyan‐type condensation of the nonlinear dynamic equations. Furthermore, the nonlinear dynamic equations and element evolution equations of hysteretic FE modeling are concisely presented as a system of first‐order nonlinear ordinary differential equations (ODEs) that can be solved using general ODE solvers. The schema is demonstrated on various design problems considering different arrangements of supplemental mass, where the objective is to minimize the volume of the structure subject to maximum displacement constraint using a single p‐norm.

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Bidirectional evolutionary structural optimization for nonlinear structures under dynamic loads

Cited by 17 publications

References 41 publications

On Topology Optimisation Methods and Additive Manufacture for Satellite Structures: A Review

On Topology Optimisation Methods and Additive Manufacture for Satellite Structures: A Review

Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material

Topology optimization employing a condensation method for nonlinear structural frames with supplemental mass

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