Topology optimization considering multiple loading

Lógó, János; Balogh, Brett; Pintér, E.

doi:10.1016/j.compstruc.2017.03.018

Cited by 21 publications

(13 citation statements)

References 34 publications

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“…In the stochastic approach, the load is treated as a random variable following a known probability distribution, and the objective and/or constraints of the optimization problem are modelled as statistical moments of random functions or as probabilities. Stochastic models have been widely applied to compliance-based TO problems [9][10][11][12][13][14][15][16][17], but more moderately so for stress-based TO [18][19][20][21]. Kanno & Takewaki [19] studied the effects of multiple load directions with stress constraints in the context of ground structure topology optimization using a probabilistic model to generate a sample load that represents the possible load cases.…”

Section: Related Workmentioning

confidence: 99%

Topology optimization with local stress constraints and continuously varying load direction and magnitude: towards practical applications

2023

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Topology optimization problems typically consider a single load case or a small, discrete number of load cases; however, practical structures are often subjected to infinitely many load cases that may vary in intensity, location and/or direction (e.g. moving/rotating loads or uncertain fixed loads). The variability of these loads significantly influences the stress distribution in a structure and should be considered during the design. We propose a locally stress-constrained topology optimization formulation that considers loads with continuously varying direction to ensure structural integrity under more realistic loading conditions. The problem is solved using an Augmented Lagrangian method, and the continuous range of load directions is incorporated through a series of analytic expressions that enables the computation of the worst-case maximum stress over all possible load directions. Variable load intensity is also handled by controlling the magnitude of load basis vectors used to derive the worst-case load. Several two- and three-dimensional examples demonstrate that topology-optimized designs are extremely sensitive to loads that vary in direction. The designs generated by this formulation are safer, more reliable, and more suitable for real applications, because they consider realistic loading conditions.

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Section: Related Workmentioning

confidence: 99%

Topology optimization with local stress constraints and continuously varying load direction and magnitude: towards practical applications

2023

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“…Works on dealing with alternating loads can be found early in the TO literature, including the 1970s Prager work [467], but hardly can be considered solutions for the complexity of the currently analysed problem. Recent works with alternating loads include Alkalla et al's Revolutionary Superposition Layout (RSL) method [468], as well as Lógó and Pintér contributions, [459,467]. Furthermore, Tsavdaridis et al managed to use a method to examine and overly stress paths and compose comprehensive layouts, optimized for several sets of loads [341], [469].…”

Section: Multiple Loading and Robustnessmentioning

confidence: 99%

Topology Optimisation in Structural Steel Design for Additive Manufacturing

2021

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Topology Optimisation is a broad concept deemed to encapsulate different processes for computationally determining structural materials optimal layouts. Among such techniques, Discrete Optimisation has a consistent record in Civil and Structural Engineering. In contrast, the Optimisation of Continua recently emerged as a critical asset for fostering the employment of Additive Manufacturing, as one can observe in several other industrial fields. With the purpose of filling the need for a systematic review both on the Topology Optimisation recent applications in structural steel design and on its emerging advances that can be brought from other industrial fields, this article critically analyses scientific publications from the year 2015 to 2020. Over six hundred documents, including Research, Review and Conference articles, added to Research Projects and Patents, attained from different sources were found significant after eligibility verifications and therefore, herein depicted. The discussion focused on Topology Optimisation recent approaches, methods, and fields of application and deepened the analysis of structural steel design and design for Additive Manufacturing. Significant findings can be found in summarising the state-of-the-art in profuse tables, identifying the recent developments and research trends, as well as discussing the path for disseminating Topology Optimisation in steel construction.

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“…Its load transfer path varies accordingly. Hence, topology optimization of the billet tong is a typical topology optimization problem of a continuum structure with multiple loads or working conditions [15]. Since this problem exists in many practical applications, it has been investigated by using the homogenization method [16][17][18], the level-set method [19], the Solid Isotropic Material with Penalization (SIMP) method [20][21][22][23][24][25], the Rational Approximation of Material Properties (RAMP) method [26], the Independent Continuous and Mapping (ICM) method [27,28], the Evolutionary Structural Optimization (ESO) method [29], evolutionary algorithms (EA) [30,31] and a hybrid approach [32].…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Topology Optimization for Curved Arm of Multifunctional Billet Tong Based on Characterization of Working Conditions

Liu

Wang

Song

et al. 2022

J. Eng. Technol. Sci.

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A windlass driven heavy duty multifunctional billet tong was designed for large-scale forging and casting to reduce the number of auxiliary material handling devices in manufacturing workshops. To improve its mechanical performance and safety, a novel multi-objective topology optimization method for its curved arm is proposed in this paper. Firstly, the influence of different open angles and working frequencies for the curved arm was simplified to a multi-objective optimization problem. A comprehensive evaluation function was constructed using the compromise programming method, and a mathematical model of multi-objective topology optimization was established. Meanwhile, a radar chart was employed to portray the comparative measures of working conditions, the weight coefficient for each working condition was determined based on the corresponding enclosed areas, combining the stress indices, the displacement indices and the frequency indices of all working conditions. The optimization results showed that the stiffness and strength of the curved arm can be improved while its weight can be reduced by 10.77%, which shows that it is feasible and promising to achieve a lightweight design of the curved arm of a billet tong. The proposed method can be extended to other equipment with complex working conditions.

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Topology optimization considering multiple loading

Cited by 21 publications

References 34 publications

Topology optimization with local stress constraints and continuously varying load direction and magnitude: towards practical applications

Topology optimization with local stress constraints and continuously varying load direction and magnitude: towards practical applications

Topology Optimisation in Structural Steel Design for Additive Manufacturing

Multi-Objective Topology Optimization for Curved Arm of Multifunctional Billet Tong Based on Characterization of Working Conditions

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