Effective structural optimization based on equivalent static loads combined with system reduction method

Kim, Euiyoung; Kim, Hyungi; Baek, Sungmin; Cho, Maenghyo

doi:10.1007/s00158-014-1080-4

Cited by 10 publications

(4 citation statements)

References 17 publications

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“…The ESLM has been applied to various practical examples. 2, 6–8, 10–12, 32–39 In the late 1990s, Choi et al 12 introduced the ESLM for linear dynamic response optimization, and the method has been expanded to various disciplines such as flexible multi-body dynamic systems, 34, 40–42 rigid-body dynamic systems, 43 non-linear static systems, 10, 36, 37 and non-linear dynamic systems. 5–8, 11, 32, 33, 35, 39, 44, 45 Jeong et al 6 compared the ESLM and the response surface method with regard to the roof structure of a vehicle.…”

Section: Non-linear Dynamic Response Structural Optimization and The mentioning

confidence: 99%

Non-linear dynamic response structural optimization for frontal-impact and side-impact crash tests

Lee

Park

2016

Proceedings of the Institution of Mechanical Engineers, Part D:

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Vehicle crash optimization is a representative non-linear dynamic response structural optimization that utilizes highly non-linear vehicle crash analysis in the time domain. In the automobile industries, crash optimization is employed to enhance the crashworthiness characteristics. The equivalent-static-loads method has been developed for such non-linear dynamic response structural optimization. The equivalent static loads are the static loads that generate the same displacement field in linear static analysis as those of non-linear dynamic analysis at a certain time step, and the equivalent static loads are imposed as external loads in linear static structural optimization. In this research, the conventional equivalent-static-loads method is expanded to the crash management system with regard to the frontal-impact test and a full-scale vehicle for a side-impact crash test. Crash analysis frequently considers unsupported systems which do not have boundary conditions and where adjacent structures do not penetrate owing to contact. Since the equivalent-static-loads method uses linear static response structural optimization, boundary conditions are required, and the impenetrability condition cannot be directly considered. To overcome the difficulties, a problem without boundary conditions is solved by using the inertia relief method. Thus, relative displacements with respect to a certain reference point are used in linear static response optimization. The impenetrability condition in non-linear analysis is transformed to the impenetrability constraints in linear static response optimization.

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Section: Non-linear Dynamic Response Structural Optimization and The mentioning

confidence: 99%

Non-linear dynamic response structural optimization for frontal-impact and side-impact crash tests

Lee

Park

2016

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…Solving dynamic optimization problems cannot rely solely on traditional algorithms, as the objective function, constraints, and Pareto front surface may change over time [ 15 ]. Particle swarm optimization (PSO) and genetic algorithms (GA) are more suitable algorithms for solving static (non-dynamic) optimization problems [ 16 ], while their variants have difficulty in balancing all-period optimality as well as dynamic computational effort issues [ 17 ]. Reinforcement learning (RL) was created for dynamic optimization as a machine learning algorithm branch.…”

Section: Introductionmentioning

confidence: 99%

Deep-reinforcement-learning-based water diversion strategy

Jiang

Sun

Huang

et al. 2024

Environmental Science and Ecotechnology

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“…17,18 Some studies have been carried out on the crash simulations of vehicles 19,20 and design optimizations of linear dynamic systems. 21,22 Nevertheless, to our knowledge, there is little discussion on the formulation of an efficient topology optimization algorithm under crash loads based on MOR methods.…”

Section: Introductionmentioning

confidence: 99%

Efficient structure crash topology optimization strategy using a model order reduction method combined with equivalent static loads

Ren

Min

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part D:

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In this study, an efficient topology optimization method under crash loads is proposed by combining the equivalent static loads with a model order reduction method, which is referred as the reduced model–based equivalent static loads method for nonlinear dynamic response topology optimization method. Considering that some parts of the vehicle experience large nonlinear deformations, whereas others exhibit only small linear deformations in a vehicle crash scenario, the linear and nonlinear behavior parts are identified and the whole model of the complete structure is divided into nonlinear and linear sub-models. At each cycle, the model order reduction method is used in the linear sub-model during crash analysis to solve the low-density-elements-induced mesh distortion problem and accelerate this process. In the linear static topology optimization, the nonlinear sub-model that was initially used to describe the nonlinear behavior part is linearized by the equivalent static loads method and then reduced by the Guyan reduction method. Then, the reduced equivalent static load model is assembled into the linear sub-model that is defined as the design space to formulate a reduced topology optimization model of the complete structure and the reduced equivalent static loads that only act on master degrees of freedom are calculated. Finally, the linear static topology optimization is performed based on the reduced topology optimization model with the reduced equivalent static loads to enhance the efficiency and improve the numerical stability. The process is repeated until the convergence criterion is satisfied. The effectiveness of the proposed method is demonstrated by investing a numerical example. The results show that the proposed method provides a feasible strategy for the topology optimization under crash loads, which can effectively improve the numerical stability and convergence.

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Effective structural optimization based on equivalent static loads combined with system reduction method

Cited by 10 publications

References 17 publications

Non-linear dynamic response structural optimization for frontal-impact and side-impact crash tests

Non-linear dynamic response structural optimization for frontal-impact and side-impact crash tests

Deep-reinforcement-learning-based water diversion strategy

Efficient structure crash topology optimization strategy using a model order reduction method combined with equivalent static loads

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