A new differential evolution algorithm with a combined mutation strategy for optimum synthesis of path-generating four-bar mechanisms

Lin, Wen Yi; Hsiao, KM

doi:10.1177/0954406216638887

Cited by 32 publications

(31 citation statements)

References 31 publications

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“…The differential evolutionary algorithm with a combined mutation strategy (Lin and Hsiao, 2017) is used to solve the optimization problems for shape synthesis. A population size of 100 and a total numbers of generations of 1000 are used for all problems.…”

Section: Resultsmentioning

confidence: 99%

Optimum shape synthesis of path generating mechanisms using wavelet descriptors

Lin

2019

JAMDSM

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The discrete wavelet transform is a well-known mathematical tool for shape recognition. In this study, a wavelet descriptor with two shape signatures, i.e., centroid distance and triangular centroid area, is developed for shape synthesis for path generation of planar mechanisms. This study is the first to apply the discrete wavelet transform for direct shape synthesis with the two-phase synthesis method for path generation problems. The problem of invariance in the similarity transform for the proposed wavelet descriptor is introduced. The proposed wavelet descriptor contains not only the approximation coefficients but also all the detail coefficients up to a prescribed decomposition level. A geometric-based approach which has been discussed in the literature is used for the scale-rotation-translation synthesis. The differential evolutionary algorithm with a combined mutation strategy is used to solve the optimization problems for shape synthesis. The proposed wavelet-based shape synthesis method is applied to solve five difficult path generation problems for the special paths generated by geared five-bar mechanisms discussed in the literature. The effects of the Haar, Daubechies-1, Daubechies-2 and Daubechies-3 wavelets as well as the number of levels from 1 to 3 on the synthesis results are investigated. Finally, the proposed wavelet-based shape synthesis method successfully solves the path generation problems. The generating coupler curves approximate the desired paths quite well except for one of the five paths. If only the approximation coefficients or only the detail coefficients are employed, the obtained optimum shape may appear similar but does not match the prescribed pattern, e.g. has an incorrect aspect ratio. The most suitable decomposition level depends on the nature of discrete shape signatures and the type of wavelet. The present synthesis results are compared to those obtained with other methods described in the literature.

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Section: Resultsmentioning

confidence: 99%

Optimum shape synthesis of path generating mechanisms using wavelet descriptors

Lin

2019

JAMDSM

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“…However, it would become inadvisable when applied to real-world scale instances due the explosive solution space. 31,32 Therefore, a new metaheuristic HTLBO is designed in the next section.…”

Section: Exact Algorithmmentioning

confidence: 99%

Scheduling just-in-time part replenishment of the automobile assembly line with unrelated parallel machines

Zhou

Peng

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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With increasing product customization, just-in-time part replenishment has become a significant scheduling problem in the automobile assembly system. This paper investigates a new unrelated parallel machine scheduling problem of an assembly line, where machines are employed to deliver material boxes from an in-house warehouse to workstations. The schedule is to appropriately specify the assignment and sequence of material boxes on each machine for minimizing line-side inventories under no stock-out constraints. By taking advantages of domain properties, an exact algorithm is developed to cope up with small-scale instances. In terms of real-world scale instances, a hybrid teaching–learning-based optimization metaheuristic is established by integrating teaching–learning-based optimization with a beam search technique. Experimental results indicate that the scheduling algorithms are effective and efficient in solving the proposed unrelated parallel machine scheduling.

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“…The fixed-carrier efficiency of a KHV PDSTND for the case with the pitch point inside the contact path can be expressed as follows (Morozumi, 1970a) Lin, Hsiao and Ke, Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol.13, No.1 (2019) The optimization problem is solved using a combined-mutation differential evolution algorithm (Lin and Hsiao, 2017). Four design schemes are summarized below:…”

Section: Mechanical Efficiencymentioning

confidence: 99%

“…The aim of this study is to find the optimum involute tooth profiles for K-H-V PDSTNDs so as to minimize the objective function of a weighted combination of two main performance factors, i.e., the reciprocal of the contact ratio and the working pressure angle. The optimization problems are solved using a combined-mutation differential evolution algorithm (Lin and Hsiao, 2017). In order to estimate the range of the weighting factors and to understand possible values for the working pressure angles, the objective function of the reciprocal of the contact ratio is first studied.…”

Section: Introductionmentioning

confidence: 99%

Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences

Lin

Hsiao

2019

JAMDSM

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The optimum design of an involute K-H-V PDSTND is restudied and remains a difficult task even using a profile shift for the design case discussed in the literature. In fact, the difficulty arises from the design with a very high efficiency and the peculiar tip interference. Because of the failure to obtain feasible designs using profile-shifted full-depth and stub teeth, another feasible design scheme is used by altering the addendums of involute profile-shifted full-depth teeth. In this study, the objective function of the optimum design is a weighted combination of two main performance factors, i.e., the reciprocal of the contact ratio and the working pressure angle. The optimization problem is solved using a combined-mutation differential evolution algorithm. The performance can be improved using the afore-mentioned design scheme; however, there is still room for improvements. Therefore, the use of different modules in mesh for involute profile-shifted full-depth teeth with variation in addendum is proposed and the corresponding meshing equation is derived. The findings show that further improvements on the performance can be achieved.

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A new differential evolution algorithm with a combined mutation strategy for optimum synthesis of path-generating four-bar mechanisms

Cited by 32 publications

References 31 publications

Optimum shape synthesis of path generating mechanisms using wavelet descriptors

Optimum shape synthesis of path generating mechanisms using wavelet descriptors

Scheduling just-in-time part replenishment of the automobile assembly line with unrelated parallel machines

Optimum design of involute tooth profiles for K-H-V planetary drives with small teeth number differences

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