Optimum synthesis of hybrid-task mechanisms using ant-gradient search method

Smaili, Ahmad; Diab, Nadim

doi:10.1016/j.mechmachtheory.2006.01.018

Cited by 66 publications

(48 citation statements)

References 31 publications

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“…The Cuckoo Search algorithm is an example of a direct search strategy that uses a naturebased heuristic to combine design parameter vectors to find new designs. Other examples of these heuristics include simulated annealing used by Dibakar and Mruthyunjaya [13] to design two degree-of-freedom planar linkage systems, the particle swarm method used by McDougall and Nokleby [14] to design four-bar linkages, and the ant search algorithm used by Xiao and Tao [15] and by Smaili and Diab [16] to design four-bar path generators.…”

Section: Literature Reviewmentioning

confidence: 99%

Homotopy Directed Optimization to Design a Six-Bar Linkage for a Lower Limb With a Natural Ankle Trajectory

Tsuge

Plecnik

McCarthy

2016

Journal of Mechanisms and Robotics

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This paper presents a synthesis method for the Stephenson III six-bar linkage that combines the direct solution of the synthesis equations with an optimization strategy to achieve increased performance for path generation. The path synthesis equations for a six-bar linkage can reach as many as 15 points on a curve; however, the degree of the polynomial system is 1046. In order to increase the number of accuracy points and decrease the complexity of the synthesis equations, a new formulation is used that combines 11 point synthesis with optimization techniques to obtain a six-bar linkage that minimizes the distance to 60 accuracy points. This homotopy directed optimization technique is demonstrated by obtaining a Stephenson III six-bar linkage that achieves a specified gait trajectory.

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Section: Literature Reviewmentioning

confidence: 99%

Homotopy Directed Optimization to Design a Six-Bar Linkage for a Lower Limb With a Natural Ankle Trajectory

Tsuge

Plecnik

McCarthy

2016

Journal of Mechanisms and Robotics

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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%

“…The path generation problem is of interest by many researchers due to the advantage of using such a mechanism such as work reported by Sleesongsom and Bureerat [16]. Almost all of the previous work tried to improve the design performance of the path synthesis problem in both the constraint handling [10][11]16] and the performance of an optimizer [1][2][3][4][5][6][7][8][9]16]. The path synthesis optimization problem normally composes of two types of constraints.…”

Section: Introductionmentioning

confidence: 99%

“…The second constraint is set to obtain unknown timings of the crank in a sequential order. From the literature, it is found that a simple exterior penalty function technique is the most popular technique used to deal with constraints [1][2][3][4][5][6][7][9][10][11], but it still lacks in efficiency as reported in [8,11,13,16]. Very recent work in [16] proposed a new technique to neglect the second constraint from the optimization problem and a first constraint is still tackle with the traditional penalty technique, which is found to give the considerably better results than the traditional exterior penalty technique.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Several optimization algorithms, including exact gradient [9], simulated annealing [13], genetic algorithm (GA) and modified GA [7,8,10,11,19,23,25], ant-gradient [6,17,26], genetic algorithmfuzzy logic [24], differential evolution (DE) and modified DE [14-16, 18, 19, 21, 22, 27], particle swarm optimization [19], GA-DE [20,28], and hybrid optimizer [29], are used to solve the optimization problems of path synthesis. In the one-phase synthesis method, the error function in [9][10][11][14][15][16][17][18][19][20][21][22] is based on the sum of the square of Euclidean distance error (termed the square deviation in this study) between the target points and the corresponding coupler points. The error function in [23,24] is based on the orientation structural error of the fixed link.…”

Section: Introductionmentioning

confidence: 99%

Optimum Path Synthesis of a Geared Five-Bar Mechanism

Lin

2013

Advances in Mechanical Engineering

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Most studies on path synthesis problems are to trace simple or smooth trajectories. In this work, an optimum synthesis for several special trajectories generated by a geared five-bar mechanism is studied using the one-phase synthesis method. The synthesis problem for the special trajectories, which is originally studied using the two-phase synthesis method discussed in the literature, is a real challenge due to very few dimensionally proportioned mechanisms that can generate the special trajectories. The challenging special trajectories with up to 41 discrete points include a self-overlapping curve, nonsmooth curves with straight segments and vertices, and sophisticated shapes. The error function of the square deviation of positions is used as the objective function and the GA-DE evolutionary algorithm is used to solve the optimization problems. Findings show that the proposed method can obtain approximately matched trajectories at the cost of a tremendous number of evaluations of the objective function. Therefore, the challenging problems may serve as the benchmark problems to test the effectiveness and efficiency of synthesis methods and/or optimization algorithms. All the synthesized solutions have been validated using the animation of the SolidWorks assembly so that the obtained mechanisms are sound and usable.

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Optimum synthesis of hybrid-task mechanisms using ant-gradient search method

Cited by 66 publications

References 31 publications

Homotopy Directed Optimization to Design a Six-Bar Linkage for a Lower Limb With a Natural Ankle Trajectory

Homotopy Directed Optimization to Design a Six-Bar Linkage for a Lower Limb With a Natural Ankle Trajectory

Alternative Constraint Handling Technique for Four-Bar Linkage Path Generation

Optimum Path Synthesis of a Geared Five-Bar Mechanism

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