Reliability-based topology optimization based on bidirectional evolutionary structural optimization using multi-objective sensitivity numbers

Cho, K. H.; Park, J. Y.; Ryu, S. P.; Han, Sang Whan

doi:10.1007/s12239-011-0097-6

Cited by 23 publications

(8 citation statements)

References 9 publications

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“…For both cases, the ESO process converged to meaningful solutions. The convergence rates and behaviors of the iterations were similar to those reported in the previous topology optimization studies [17]. Such outcomes were no surprise because ESO method is known to be mesh independent [17] [18].…”

Section: Resultssupporting

confidence: 81%

Computational Simulations of Bone Remodeling under Natural Mechanical Loading or Muscle Malfunction Using Evolutionary Structural Optimization Method

Latifi¹,

Xie²,

Huang³

et al. 2014

ENG

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Live bone inherently responds to applied mechanical stimulus by altering its internal tissue composition and ultimately biomechanical properties, structure and function. The final formation may structurally appear inferior by design but complete by function. To understand the loading response, this paper numerically investigated structural remodeling of mature sheep femur using evolutionary structural optimization method (ESO). Femur images from Computed Tomography scanner were used to determine the elastic modulus variation and subsequently construct finite element model of the femur with stiffest elasticity measured. Major muscle forces on dominant phases of healthy sheep gait were imposed on the femur under static mode. ESO was applied to progressively alter the remodeling of numerically simulated femur from its initial to final design by iteratively removing elements with low strain energy density (SED). The computations were repeated with two different mesh sizes to test the convergence. The elements within the medullary canal had low SEDs and therefore were removed during the optimization. The SEDs in the remaining elements varied with angle around the circumference of the shaft. Those elements with low SED were inefficient in supporting the load and thus fundamentally explained how bone remodels itself with less stiff inferior tissue to meet load demand. This was in line with the Wolff's law of transformation of bone. Tissue growth and remodeling process was found to shape the sheep femur to a mechanically optimized structure and this was initiated by SED in macro-scale according to traditional principle of Wolff's law. H. Latifi et al. 114

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Section: Resultssupporting

confidence: 81%

Computational Simulations of Bone Remodeling under Natural Mechanical Loading or Muscle Malfunction Using Evolutionary Structural Optimization Method

Latifi¹,

Xie²,

Huang³

et al. 2014

ENG

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“…Chen [97] used modified ESO algorithm for the optimization of plate structure under harmonic loading. Cho et al [98] obtained optimum topology for the inner reinforcement of a vehicle's hood having uncertainties in variables. Finotto et al [99] used an algorithm combination of ground structure approach, nonlinear finite element analysis, and quantum-inspired evolutionary algorithms.…”

Section: Classification Of Methodologiesmentioning

confidence: 99%

Topology Optimization Applications on Engineering Structures

Kentli¹

2020

Truss and Frames - Recent Advances and New Perspectives

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Over the years, several optimization techniques were widely used to find the optimum shape and size of engineering structures (trusses, frames, etc.) under different constraints (stress, displacement, buckling instability, kinematic stability, and natural frequency). But, most of them require continuous data set where, on the other hand, topology optimization (TO) can handle also discrete ones. Topology optimization has also allowed radical changes in geometry which concludes better designs. So, many researchers have studied on topology optimization by developing/using different methodologies. This study aims to classify these studies considering used methods and present new emerging application areas. It is believed that researchers will easily find the related studies with their work.

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“…Eom et al [48] made use of an improved hard-kill BESO method using a response surface to compute the reliability index for addressing RBTO problems with uncertainty in loading and material. The BESO method using a performance measure, with probabilistic constraints formulated in terms of the reliability index, was used by Cho et al [49] to address RBTO multi-objective problems including uncertainty in static stiffness of bending, torsion, and natural frequency. The linear elasticity hypothesis was exploited by Kanakasabai and Dhingra [50] using superposition to efficiently handle reliability constraints in RBTO problems with uncertainty in loading using the BESO method.…”

Section: Introductionmentioning

confidence: 99%

Evolutionary topology optimization of continuum structures under uncertainty using sensitivity analysis and smooth boundary representation

Martínez-Frutos

Herrero-Pérez

2018

Computers & Structures

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This paper presents an evolutionary approach for the Robust Topology Optimization (RTO) of continuum structures under loading and material uncertainties. The method is based on an optimality criterion obtained from the stochastic linear elasticity problem in its weak form. The smooth structural topology is determined implicitly by an iso-value of the optimality criterion field. This isovalue is updated using an iterative approach to reach the solution of the RTO problem. The proposal permits to model the uncertainty using random variables with different probability distributions as well as random fields. The computational burden, due to the high dimension of the random field approximation, is efficiently addressed using anisotropic sparse grid stochastic collocation methods. The numerical results show the ability of the proposal to provide smooth and clearly defined structural boundaries. Such results also show that the method provides structural designs satisfying a trade-off between conflicting objectives in the RTO problem.

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Reliability-based topology optimization based on bidirectional evolutionary structural optimization using multi-objective sensitivity numbers

Cited by 23 publications

References 9 publications

Computational Simulations of Bone Remodeling under Natural Mechanical Loading or Muscle Malfunction Using Evolutionary Structural Optimization Method

Computational Simulations of Bone Remodeling under Natural Mechanical Loading or Muscle Malfunction Using Evolutionary Structural Optimization Method

Topology Optimization Applications on Engineering Structures

Evolutionary topology optimization of continuum structures under uncertainty using sensitivity analysis and smooth boundary representation

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