A method for optimal path synthesis of four-link planar mechanisms

Buśkiewicz, Jacek

doi:10.1080/17415977.2014.939654

Cited by 22 publications

(16 citation statements)

References 29 publications

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“…The analysis performed is encouraging for further studies in developing the methods decreasing the number of design parameters, which may be an alternative to more complex, frequently hybrid, new optimisation algorithms. The method, although presented on the example of a four-bar linkage, can be applied in synthesis of other four-link planar mechanisms: crank-slider mechanism and mechanism with slotted links using techniques described in (Buśkiewicz, 2015).…”

Section: Resultsmentioning

confidence: 99%

“…The radius of the arc that best fits into these points equals the length of the output link O 2 B, and the centre of the arc becomes the pivot of this link. The parameters of this circular arc may be computed using the method described in (Buśkiewicz, 2015). Let l 3i denote the radius of the circle with the centre at (x O 2 i , y O 2 i ) passing through three points: B i , B i ′ and B i ′′ , where:…”

Section: Mathematical Foundationsmentioning

confidence: 99%

“…(2.15)). The technique is described in depth in (Buśkiewicz, 2010(Buśkiewicz, , 2015. Preliminary numerical simulations were performed to establish the parameters controlling the EA:…”

Section: Optimisation Techniquementioning

confidence: 99%

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Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Buśkiewicz

2018

jtam

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The paper presents the method for the optimal synthesis of four-link mechanism generating open/closed paths with time prescription. Although the method is suitable for both closed and open paths, it enables decreasing the number of design parameters describing dimensions, orientation and position of a path generator. Compared to the methods presented in the references, this is a one-phase synthesis method; although the number of design parameters is reduced, the method does not require affine transformations to be performed on the synthesised mechanism. The effectiveness of the method is discussed based on examples of three paths, with two taken from the literature.

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Section: Resultsmentioning

confidence: 99%

Section: Mathematical Foundationsmentioning

confidence: 99%

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Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Buśkiewicz

2018

jtam

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“…Kulmani et al [6] used five precision points to synthesize the output function of a four-bar mechanism. Jacek [7] proposed a numerical method to synthesize the open path of a four-bar mechanism using the sine function. Dimensional synthesis of path and motion generators is particularly worthy of note, as performed by Russell [8][9][10], who presented a new precision point synthesis of a spatial RRSS and 4R mechanism.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of a non-integer periodic function generator of a four-bar mechanism using a Haar wavelet

Sun

Liu

Chu

2015

Inverse Problems in Science and Engineering

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In this study, a synthesis method for a non-integer periodic function generator of a four-bar mechanism using a Haar wavelet is presented. Using wavelet theory, the mathematical model for the output of a four-bar mechanism is established. Next, the characteristics of the four-bar mechanism output variable are described by the wavelet feature parameters; the relationship of the wavelet feature parameters between the output and its translation or dilation is also investigated. Based on this finding, three numerical atlas databases comprising of 203,500 groups of basic dimensional types of planar four-bar mechanisms, 148,995 groups of basic dimensional types of spherical four-bar mechanism and 11,175 groups of basic dimensional types of planar slidercrank mechanism are compiled. According to the internal relationship between the wavelet feature parameters, the sizes of the objective mechanism can be obtained using fuzzy recognition. Based on a genetic algorithm, optimization of the link parameters can be realized. Three examples are presented to demonstrate the efficacy and practicality of the proposed theory.

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“…One task for designing a four-bar linkage is a path generation problem. This synthesis problem is aimed at finding significant link lengths of the mechanism to achieve a point on a coupler link moving along the desired path [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The problem is usually converted to be an optimization problem, which is posed to find the dimensions of a mechanism and some other parameters.…”

Section: Introductionmentioning

confidence: 99%

Alternative Constraint Handling Technique for Four-Bar Linkage Path Generation

Sleesongsom

Bureerat

2018

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. This paper proposes an extension of a new concept for path generation from our previous work by adding a new constraint handling technique. The propose technique was initially designed for problems without prescribed timing by avoiding the timing constraint, while remain constraints are solving with a new constraint handling technique. The technique is one kind of penalty technique. The comparative study is optimisation of path generation problems are solved using self-adaptive population size teaching-learning based optimization (SAP-TLBO) and original TLBO. In this study, two traditional path generation test problem are used to test the proposed technique. The results show that the new technique can be applied with the path generation problem without prescribed timing and gives better results than the previous technique. Furthermore, SAP-TLBO outperforms the original one.

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A method for optimal path synthesis of four-link planar mechanisms

Cited by 22 publications

References 29 publications

Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Reduced number of design parameters in optimum path synthesis with timing of four-bar linkage

Synthesis of a non-integer periodic function generator of a four-bar mechanism using a Haar wavelet

Alternative Constraint Handling Technique for Four-Bar Linkage Path Generation

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