Computer-aided optimal design via modified adaptive random-search algorithm

Zarefar, H.; Muthukrishnan, S. N.

doi:10.1016/0010-4485(93)90055-s

Cited by 22 publications

(9 citation statements)

References 1 publication

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“…Prayoonrat and Walton [4] proposed a practical approach to optimum gear train design using a direct search method while minimizing the distance between the two shafts. Zarefar and Muthukrishnan [5] used a random search method to solve the SRDP where the weight is minimized under various constraints. Li et al [6] optimized the design of involute profile helical gears by determining the adequate geometrical factors proposed by the American standard AGMA.…”

Section: Introductionmentioning

confidence: 99%

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Optimum design of a spur gear using a two level optimization approach

Mahiddini¹,

Chettibi

Benfriha

et al. 2019

mech

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In this paper, we present a two level optimization approach in order to enhance the design process of a one-stage speed reducer. The proposed design methodology is performed using genetic algorithms which are judiciously combined with the use of :i) analytical models (1stlevel) and ii) Finite Element Method (FEM)based models ( 2nd level), to evaluate design candidates. Indeed, the use of CAD-CAE tools to develop higher fidelity FEM models allows to re-evaluate the attained first level designs, while accounting for new design parameters and advanced aspects which have been ignored in the first level. In order to minimize the computational burden, a metamodel based optimization technique is adopted at this second level. To illustrate the efficiency of the proposed approach, a case study of a spur gear based reducer is presented where the design of experiments is built using Hypercube Latin Sampling and surrogate models are constructed using Radial Basic Functions.

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Section: Introductionmentioning

confidence: 99%

“…The analysis of references [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] highlights a common fact that the proposed design approaches employ exclusively one type of models, analytical or numerical (i.e. FEM) one, to evaluate the performances of any design candidate.…”

Section: Introductionmentioning

confidence: 99%

Optimum design of a spur gear using a two level optimization approach

Mahiddini¹,

Chettibi

Benfriha

et al. 2019

mech

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“…The enumeration technique is preferred to the random methods [12][13][14][15] and the advanced stochastic methods [16][17][18][19][20][21][22][23] because the number of the possible solutions to the 2DET could be well limited considering practical manufacturing requirements and a high-performance computer could scan and evaluate all the candidates efficiently. In addition, multiple criteria are simultaneously optimized for the 2DET using the MMPO to find global optima since the MMPO could well represent the real optimization purposes of designers in an intuitive, reasonable and comprehensive way.…”

Section: Introductionmentioning

confidence: 99%

Enumerative Optimization Procedure for the Gear Train Optimization Problem of a Two-Speed Dedicated Electric Transmission

Chen

Liu

et al. 2017

Energies

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Abstract:Gear train optimization problems (GTOPs) can be very difficult. This paper proposes an enumerative optimization procedure (EOP) for the GTOP of a two-speed dedicated electric transmission (2DET) for electric vehicles (EVs). The EOP combines enumeration with the Min-Max Principle of Optimality (MMPO). First, the requirements of the EV and the requirements of manufacture and operation were checked in a dedicated order to obtain the feasible region of the GTOP. Then, the MMPO was implemented within the feasible region to reveal the global optimum in terms of the performance of the EV, the load capacity of the gears and the size of the gear train (GT). Results demonstrated that the EOP was effective in determining the feasible region and simultaneously and globally optimizing multiple criteria for the GTOP. The idea of combining enumeration with optimization, as the EOP presents, may be helpful to solve other GTOPs and provide global optima that are immediately practical and applicable.Keywords: gear train optimization problem (GTOP); enumerative optimization procedure (EOP); two-speed dedicated electric transmission (2DET); electric vehicle (EV); Min-Max Principle of Optimality (MMPO)

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“…a) Design variables During the optimization process, the selections of design variables have crucial influences on the accuracy of the optimization results. Whether there are links among the design variables or not combined with the determination of objective function need to be considered as to the selections of the variables [10]. For example, in an optimal design which aims at the minimum volume, the facewidths of two stages should be regarded as two isolated optimization variables.…”

Section: Introductionmentioning

confidence: 99%

Optimization of Two-Stage Cylindrical Gear Reducer with Adaptive Boundary Constraints

Li¹,

Jiang²,

Zeng³

2013

JSW

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An optimization mathematical model for designing two-stage cylindrical gear reducer is firstly constructed based upon the drive principles and design criteria of cylindrical gear transmission. Then some techniques for calculating the key performance parameters, such as profile factor and dynamic load coefficient, etc., and revising the corresponding boundary constraints dynamically during the optimization process are researched and implemented. Finally, dedicated interactive optimization design software is developed based on VC++/MATLAB mixed programming. Compared with the conventional optimization methods with fixed performance parameter, the proposed method can accurately calculate all the key parameters and revise the corresponding constraint functions adaptively in each iteration step. Optimization examples illustrate that the proposed gear optimization method is more effective and reasonable.

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Computer-aided optimal design via modified adaptive random-search algorithm

Cited by 22 publications

References 1 publication

Optimum design of a spur gear using a two level optimization approach

Optimum design of a spur gear using a two level optimization approach

Enumerative Optimization Procedure for the Gear Train Optimization Problem of a Two-Speed Dedicated Electric Transmission

Optimization of Two-Stage Cylindrical Gear Reducer with Adaptive Boundary Constraints

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