Mechanism Synthesis

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Luo You-xin - One of the best experts on this subject based on the ideXlab platform.

  • Adaptive invading genetic algorithm based on chaos search and its application to Mechanism Synthesis
    Modern Manufacturing Engineering, 2011
    Co-Authors: Luo You-xin
    Abstract:

    By introducing the concept of invasion of biological systems into Genetic Algorithm(GA),a chaos search for the optimum solution of repulsion two-cycle point of Mechanism Synthesis based Adaptive Invading Genetic Algorithm(AIGA)was proposed.The invading population,whose size was dynamically determined,was obtained through Chaos Search(CS).The expansion of the invading population was capable of propagating excellent genes among individuals and optimizing the gene structure of the population.And thus,it made the population evolve towards the global optimum.As a result,the algorithm was able to diminish the probability of being convergent to local minima prematurely.The proposed algorithm was applied to the repulsion two-cycle point function optimization.And the Mechanism Synthesis results show that this algorithm has the merits of fast convergence and global optimization and can find all solutions of the nonlinear equations for Mechanism Synthesis nonlinear questions.

  • A Novel method for Mechanism Synthesis based on improved differential evolution algorithm
    Journal of Hunan University of Arts and Science, 2009
    Co-Authors: Luo You-xin
    Abstract:

    Aiming at solving the nonlinear equations of Mechanism Synthesis is presented, an improved differential evolution (DE)algorithm is proposed. The equations are transformed into an optimization problem. During the evolution, according to evolution condition in the proposed algorithm the dynamic parameter adjustment Mechanism is adopted to enhance its search efficiency, the population overlap is monitored in real-time mode; for overlapped individual,by use of chaotic search strategy the global optimal searching ability of the proposed algorithm is further improved. The results of Mechanism Synthesis show that the proposed algorithm is efficient and possesses strong global optimal searching ability.

  • Research on solving method for chaos multiplication of Mechanism Synthesis
    Journal of Machine Design, 2009
    Co-Authors: Luo You-xin
    Abstract:

    The chaos multiplication method has been studied,and simulation was carried out on it.The new solving method on the nonlinear equation set of chaos multiplication method was put forward for the first time,a study on the Mechanism Synthesis was carried out and a calculational living example was given out.This method is simple,practical and provided various selectable schemes for the design of actual Mechanism,and an all new method offered for the Mechanism design as well.

  • The Research of Virus Spreading-based Algorithms to Mechanism Synthesis
    Machine Tool & Hydraulics, 2008
    Co-Authors: Luo You-xin
    Abstract:

    A new Newton iterative algorithm was presented which is based on the simulation of bipartition and multiplication spreading process of biological viruses and can find all real solutions of nonlinear equations.The numerical examples in linkage Synthesis and approximate Synthesis show that the method is correct and effective.

  • Solving Method to Planar Crank-slide Mechanism Synthesis with LINGO Software
    Equipment Manufacturing Technology, 2007
    Co-Authors: Luo You-xin
    Abstract:

    After analyzing all methods for finding solution of crank-slide Mechanism Synthesis, a new methods was presented, which can find all solution to Mechanism Synthesis and is based on LINGO10.0 software. The solution found by LINGO10.0 is used as a restriction to run the program again to found another new solution till all solutions are found. The problem of planar crank-slide Mechanism was solved by this method, which provides a simple realization method for mechanics design.

Youxin Luo - One of the best experts on this subject based on the ideXlab platform.

  • Interval Iterative Method Based on Liu Chaotic System for Solving Planar Mechanism Synthesis
    International journal of applied mathematics and statistics, 2014
    Co-Authors: Youxin Luo, Xiao Yi Che, Qiyun Liu
    Abstract:

    The problem about Mechanism Synthesis and approximate Synthesis can be converted to nonlinear equations in order to find solutions, but it is very difficult to find all solutions because of the strong coupling of the nonlinear equations. Newton iterative method as an important technique to one dimension and multi-dimension is more sensitive to the initial value and has only a solution obtained. By combining interval Newton iterative method with chaotic sequences and taking chaotic sequences generated in new chaotic system proposed by Liu as the initial values of interval Newton iterative method in the Mechanism Synthesis problem, all solutions were found. The numerical example in crank-slider Mechanism shows the method is correct and effective. The interval iterative method based on chaos can run within the real range, and it provides a new approach for solving Mechanism Synthesis and other strongly nonlinear equations..

  • Fractal–Based Newton Method and Mechanism Synthesis & Approximate Synthesis
    Applied Mechanics and Materials, 2012
    Co-Authors: Youxin Luo
    Abstract:

    Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, utilizing a fractal iteration system to produce initial value, a new method to find all solutions of the nonlinear equations was proposed. The numerical examples in linkage Synthesis and approximate Synthesis show that the method is correct and effective.

  • The Research of Newton Iteration Method Based on Hyperchaos Chen System to Mechanism Synthesis
    Advanced Materials Research, 2011
    Co-Authors: Qi Yuan Liu, Youxin Luo, Bin Zeng
    Abstract:

    Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an important technique to one dimensional and multi-dimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, a new method based on utilizing hyperchaos Chen systems to obtain locate initial points to find all solutions of the nonlinear questions and taking improved Newton iterative method was proposed and it has higher solving efficiency compared with chaos Chen systems. The numerical examples in linkage Synthesis and approximate Synthesis show that the proposed method is correct and effective.

  • The Research of Chaos Mapping Method with Infinite Collapses to Mechanism Synthesis
    Advanced Materials Research, 2011
    Co-Authors: Qi Yuan Liu, Youxin Luo, Bin Zeng
    Abstract:

    Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. The property of chaos sequences produced by one dimensional simple chaos mapping method with infinite collapses in finite interval was analyzed. For the first time, a new method based on utilizing one dimensional chaos mapping method with infinite collapses to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage Synthesis and approximate Synthesis show that the new method is correct and effective.

  • The Research of Composite Nonlinear Discrete Chaos Dynamical Systems to Mechanism Synthesis
    Advanced Materials Research, 2011
    Co-Authors: Qi Yuan Liu, Youxin Luo, Bin Zeng
    Abstract:

    Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. A composite discrete chaos dynamical system was constructed by two special discrete chaos dynamical systems and initial points were produced by proposed chaos system. For the first time, a new method based on composite discrete chaos dynamical system to obtain locate initial points to find all solutions of the nonlinear questions was proposed. The numerical examples in linkage Synthesis and approximate Synthesis show that the new method is correct and effective.

Sridhar Kota - One of the best experts on this subject based on the ideXlab platform.

  • Design of Compliant Mechanisms for Morphing Structural Shapes
    Journal of Intelligent Materials Systems and Structures, 2003
    Co-Authors: Kerr Jia Lu, Sridhar Kota
    Abstract:

    Various compliant Mechanism Synthesis methods have been developed over the past decade; however, verylittle attention has been directed towards adaptive shape change problems. In this paper, we present a systematic method for synthesizing compliant Mechanisms to morph a given curve or profile into a target curve utilizing minimum number of actuators (typically one). Two objective functions are formulated, using Least Square Errors and a modified Fourier Transformation, to capture the shape differences. The topology and dimensions of the optimal compliant Mechanism are generated using Genetic Algorithms. Applications of this Synthesis approach are demonstrated through two adaptive antenna design examples.

  • compliant Mechanism Synthesis for shape change applications preliminary results
    SPIE's 9th Annual International Symposium on Smart Structures and Materials, 2002
    Co-Authors: Sridhar Kota
    Abstract:

    Most aircraft wings are optimized to produce minimum drag under one particular flying speed, while the flying speed actually varies continuously throughout flight. Although conventional hinged Mechanisms can change the wing shape in response to the change in flying speed, the connecting hinges create discontinuities over the wing surface, leading to earlier airflow separation. In this paper, we propose a systematic approach to synthesize compliant Mechanisms that can deform an initial curve into a target shape with a smooth boundary. As opposed to the two-step Synthesis that separates the interrelated topology and dimensional aspects of a compliant Mechanism, we propose an optimization model using a mixed-variable formulation that addresses both aspects simultaneously. The effectiveness of the shape change is evaluated using Fourier Descriptors (FDs), which capture the pure 'shape' differences between curves. Due to the discrete nature in the design variables, a Genetic Algorithm (GA) is employed to find the optimal solution. The preliminary results demonstrate the feasibility of simultaneously addressing the topology and dimensional aspects. They also indicate that the reference shape used for curve description can significantly affect the optimal solutions. This suggests that a more refined objective function is necessary to improve the effectiveness of the results.

  • Incorporating uncertainty into Mechanism Synthesis
    Mechanism and Machine Theory, 2001
    Co-Authors: R.s Kalnas, Sridhar Kota
    Abstract:

    Abstract Motion generation Mechanisms such as pick-and-place robots often have exacting constraints on the initial and final locations and angles. However, the intermediate locations and angles are not nearly as constrained. Previous attempts to synthesize Mechanisms under such uncertain conditions employed permutation, quasi-precise (worst-case), and genetic algorithm methodologies. In this paper we present a method in which intermediate `precision' positions are described as distributions. This expands the resulting set of acceptable solutions by adding an extra dimension to Burmester solutions, i.e., Burmester surfaces instead of Burmester lines. Treating the input variables as statistical variables allows designers the freedom to dictate both preferred input regions and preferred amounts of acceptability within the regions. Incorporating uncertainty quickly provides not only the entire feasible design space, but also the nominal, worst-case, and most importantly, the most highly recommended solutions. A headlight cover Mechanism solution is provided to demonstrate the attractiveness of this methodology.

  • A More Effective Formulation of the Path Generation Mechanism Synthesis Problem
    23rd Biennial Mechanisms Conference: Mechanism Synthesis and Analysis, 1994
    Co-Authors: Irfan Ullah, Sridhar Kota
    Abstract:

    Abstract Use of mathematical optimization methods for Synthesis of path-generating Mechanisms has had only limited success due to the very complex nature of the commonly used Structural Error objective function. The complexity arises, in part, because the objective function represents not only the error in the shape of the coupler curve, but also the error in location, orientation and size of the curve. Furthermore, the common introduction of timing (or crank angle), done generally to facilitate selection of corresponding points on the curve for calculating structural error, has little practical value and unnecessarily limits possible solutions. This paper proposes a new objective function, based on Fourier Descriptors, which allows search for coupler curve of the desired shape without reference to location, orientation, or size. The proposed objective function compares overall shape properties of curves rather than making point-by-point comparison and therefore does not requires prescription of timing. Experimental evidence is provided to show that it is much easier to search the space of the proposed objective function compared to the structural error function.

  • Use of orthogonal arrays in Mechanism Synthesis
    Mechanism and Machine Theory, 1993
    Co-Authors: Sridhar Kota, Shean Juinn Chiou
    Abstract:

    Abstract No single optimization method exists that is best suited to solve all path generation problems effectively [Erdman 1991]. Graphical illustrations of the Mechanism design space, given in this paper, attest to the difficulties encountered in the optimization of path generation tasks. An example has also been provided to illustrate the importance of a good initial guess in achieving proper convergence. Use of experimental design techniques that are based on statistically designed orthogonal arrays is suggested in this paper, as an alternate method to solve Mechanism design tasks. It will also be benificial to use this method to obtain a good starting point for the traditional optimal Synthesis procedures. Also, when a theoretical solution is translated into physical reality, manufacturing tolerances, joint clearances, and elasticity in link members cause variations in Mechanism performance. Orthogonal arrays and the related robust design procedures, suggested here, account for such variations as well. Design examples are given to illustrate the use of orthogonal arrays.

Hu Hao - One of the best experts on this subject based on the ideXlab platform.

  • Real root insulating arithmetic to Mechanism Synthesis
    Machinery Design and Manufacture, 2006
    Co-Authors: Hu Hao
    Abstract:

    Most problens of Mechanism Synthesis are translated into that of findina all solutions of nonlinear equations.As existing numerical value methods have their weakness,this makes people not disburden when these methods os used to find solutions.The symbolic calculating method is exact calculating and all methods of numerical value calculating methods do not possess this kind of characteristic.In this paper,based on symbolic calculating,real roots insulating arithmetic is research.The process of arithmetic is given.The program is achieved with Maple9.0 software.As an example,the four linkage Synthesis of plane rigid guidance is studied.All solutions are found.

Nizar Aifaoui - One of the best experts on this subject based on the ideXlab platform.

  • Flexible slider crank Mechanism Synthesis using meta-heuristic optimization techniques: a new designer tool assistance for a compliant Mechanism Synthesis
    Artificial Intelligence Review, 2019
    Co-Authors: Mohamed Amine Ben Abdallah, Imed Khemili, Nizar Aifaoui
    Abstract:

    This work bespeaks an insight into a real imperfect multibody systems Synthesis, wherein the flexible behaviour of its components is considered. Based on the end-effector Mechanism velocity, acceleration and defined transversal deflection for a flexible component, the Mechanism optimal design variables have been investigated. Subsequently, the three aforementioned responses have been involved simultaneously for a combined optimization process. To this end, an Assistance Tool Design, subsuming several meta-heuristic optimization techniques such as Genetic Algorithm (GA), Imperialist Competitive Algorithm (ICA), Artificial Bee Colony (ABC), Ant Colony (AC), Differential Evolution (DE) and Simulating Annealing (SA) techniques, has been developed under MATLAB software. The Assistance Tool Design enables designers to carry out the Synthesis of Mechanisms by means of one or many optimization techniques mentioned above. It has been proven that AC and DE outperform the other optimization techniques. Nevertheless, awkwardness has been bearded for the Mechanism Synthesis using only a single response, mainly the flexible connecting rod mid-point transversal deflection. The combined Synthesis subsuming simultaneously the three responses discussed above settles a perfect trade-off for all the optimization techniques.