Controlling Out-of-Plane Buckling in Shear-Acting Structural Fuses through Topology Optimization

For both polyimide membranes in aerospace and graphene membranes in nanoelectronics with surface accuracy requirements, wrinkles due to the extreme out-of-plane flexibility yield inverse influences on the properties and applications of membranes. In this study, on the basis of discrete topology optimization, we propose a prenecking strategy by adopting elliptical free edges to suppress the stretch-induced wrinkling. This prenecking strategy with the computer-aided-design (CAD)-ready format is versatile to eliminate wrinkles in stretched membranes with clamped ends and achieve wrinkle-free performances. The wrinkle-free capability of the prenecking strategy, capable of satisfying the shape accuracy requirements, indicates that by suffering insignificant area loss, concerning of wrinkling problems in membranes is no further required. As compared with the existing researches focusing on studying wrinkling behaviors, the prenecking strategy offers a promising solution to the stretch-induced wrinkling problem by eliminating wrinkles through design optimization.

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Optimal FRP Reinforcement of Masonry Walls under In- and Out-of-Plane Loads

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.624.429 ◽

2014 ◽

Vol 624 ◽

pp. 429-436 ◽

Cited By ~ 1

Author(s):

Matteo Bruggi ◽

Gabriele Milani ◽

Alberto Taliercio

Keyword(s):

Topology Optimization ◽

Strength Properties ◽

Homogenization Theory ◽

Masonry Walls ◽

Optimization Approach ◽

Optimal Layout ◽

Transverse Loads ◽

Out Of Plane ◽

Frp Reinforcement ◽

Frp Strips

The problem of finding the optimal layout of FRP strips to effectively retrofit masonry walls undergoing transverse loads is dealt with, taking the presence of permanent vertical loads into account. An innovative topology optimization approach is proposed to define the minimum amount of reinforcement that keeps the stress within a given strength domain throughout the wall. The macroscopic strength properties of masonry are defined by means of a simplified limit analysis approach based on homogenization theory. The capabilities of the proposed procedure are illustrated through applications on a windowed panel subjected to out-of-plane actions and vertical loads.

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Topology Optimization of Multicell Tubes Under Out-of-Plane Crushing Using a Modified Artificial Bee Colony Algorithm

Journal of Mechanical Design ◽

10.1115/1.4036561 ◽

2017 ◽

Vol 139 (7) ◽

Cited By ~ 29

Author(s):

Jianguang Fang ◽

Guangyong Sun ◽

Na Qiu ◽

Grant P. Steven ◽

Qing Li

Keyword(s):

Topology Optimization ◽

Artificial Bee Colony ◽

Fitness Function ◽

Food Sources ◽

Abc Algorithm ◽

Bee Colony ◽

Design Variables ◽

Highly Nonlinear ◽

Out Of Plane ◽

Energy Absorbing

Multicell tubal structures have generated increasing interest in engineering design for their excellent energy-absorbing characteristics when crushed through severe plastic deformation. To make more efficient use of the material, topology optimization was introduced to design multicell tubes under normal crushing. The design problem was formulated to maximize the energy absorption while constraining the structural mass. In this research, the presence or absence of inner walls were taken as design variables. To deal with such a highly nonlinear problem, a heuristic design methodology was proposed based on a modified artificial bee colony (ABC) algorithm, in which a constraint-driven mechanism was introduced to determine adjacent food sources for scout bees and neighborhood sources for employed and onlooker bees. The fitness function was customized according to the violation or the satisfaction of the constraints. This modified ABC algorithm was first verified by a square tube with seven design variables and then applied to four other examples with more design variables. The results demonstrated that the proposed heuristic algorithm is capable of handling the topology optimization of multicell tubes under out-of-plane crushing. They also confirmed that the optimized topological designs tend to allocate the material at the corners and around the outer walls. Moreover, the modified ABC algorithm was found to perform better than a genetic algorithm (GA) and traditional ABC in terms of best, worst, and average designs and the probability of obtaining the true optimal topological configuration.

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Topology optimization of planar heat sinks considering out-of-plane design-dependent deformation problems

Meccanica ◽

10.1007/s11012-021-01337-z ◽

2021 ◽

Author(s):

Jiaqi Zhao ◽

Ming Zhang ◽

Yu Zhu ◽

Rong Cheng ◽

Leijie Wang ◽

...

Keyword(s):

Topology Optimization ◽

Heat Sinks ◽

Out Of Plane

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OPTIMIZATION OF LAMINATED BENDING PLATES

Journal of Civil Engineering and Management ◽

10.3846/13923730.2002.10531269 ◽

2002 ◽

Vol 8 (3) ◽

pp. 143-152

Author(s):

Dainius Rusakevičius ◽

Rimantas Belevičius

Keyword(s):

Topology Optimization ◽

Optimization Problems ◽

Deformation Energy ◽

Analytical Sensitivity ◽

Plate Structures ◽

And Topology ◽

Out Of Plane ◽

Analytical Sensitivity Analysis ◽

Computer Resources ◽

Bending Plates

The problems of shape, material, sizing and topology optimization are formulated and solved for thin orthotropic laminated bending plate structures subjected to the in-plane as well as out-of-plane loading. A simple laminated combined finite element that comprises known elements CST for membrane part and DKT for bending part was formulated in the present study. A special numerical-analytical method for structural matrices of the element and analytical sensitivity analysis is used to cope with huge required computer resources for topology optimization. The uniform distribution of deformation energy density over the area of structure is employed as the optimality criterion in all optimization problems. The original algorithms, which may be attributed to the ESO family of algorithms, are suggested for optimization of laminae thicknesses and topology optimization. A number of numerical examples are provided.

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Topology Optimization of Micromachined Structures With Surface Micromachining Manufacturing Constraints

Volume 1: 32nd Design Automation Conference, Parts A and B ◽

10.1115/detc2006-99341 ◽

2006 ◽

Author(s):

Aravind Alwan ◽

G. K. Ananthasuresh

Keyword(s):

Topology Optimization ◽

Optimization Methods ◽

Manufacturing Cost ◽

Manufacturing Constraints ◽

Surface Micromachining ◽

Out Of Plane ◽

Gradient Based ◽

Plane Direction ◽

New Formulation ◽

Design Parameterization

Topology optimization methods have been shown to have extensive application in the design of microsystems. However, their utility in practical situations is restricted to predominantly planar configurations due to the limitations of most microfabrication techniques in realizing structures with arbitrary topologies in the direction perpendicular to the substrate. This study addresses the problem of synthesizing optimal topologies in the out-of-plane direction while obeying the constraints imposed by surface micromachining. A new formulation that achieves this by defining a design space that implicitly obeys the manufacturing constraints with a continuous design parameterization is presented in this paper. This is in contrast to including manufacturing cost in the objective function or constraints. The resulting solutions of the new formulation obtained with gradient-based optimization directly provide the photolithographic mask layouts. Two examples that illustrate the approach for the case of stiff structures are included.

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