Qi Yuan Liu

Forward Displacement Analysis of Non-Plane Two Coupled Degree Nine-Link Barranov Truss Based on Hyper-Chaotic Newton Downhill Method

The hyper-chaotic Newton downhill method finding all real solutions of nonlinear equations was proposed and the forward displacement analysis on the 33th non-plane 2-coupled–degree nine-link Barranov truss was completed. Four constrained equations were established by vector method with complex numbers according to four loops of the mechanism and four supplement equations were also established by increasing four variables and the relation of sine and cosine function. The established eight equations are that of forward displacement analysis of the mechanism. Combining Newton downhill method with hyper-chaotic sequences, hyper-chaotic Newton-downhill method based on utilizing hyper-chaotic discrete system to obtain locate initial points to find all real solutions of the nonlinear questions was proposed. The numerical example was given. Comparison was also done with other finding solution method. The result shows that all real solutions have been quickly obtained, and it proves the correctness and validity of the proposed method.

Design Method Research on Green Modular that Oriented Remanufacturing Engineering

In the green modular design method that oriented remanufacturing engineering, the equipment remanufacturing is taken as the design purpose, the modular design method as the basis, the green design and the modern mathematic method as the auxiliary means. In the beginning of remanufacturing, that is, before the birth of the entity life, the environmental attributes of the equipment and the reuse of the parts in the full life cycle are fully taken into account, and the green degree reflecting the environmental characteristics and the module degrees reflecting the functionality and usability features are evaluated and tested. The proposed design method can meet environmental attributes of the equipment and remanufacturing requirements at the same time, and it is satisfied with the fundamental purpose of remanufacturing.

Differential Evolution Algorithm with Hybrid Discrete Variables and its Application to Mechanical Optimization

The optimization design about hybrid discrete variables is very significant but also difficult in engineering, mathematics for programming and operational research. Aimed at shortages of existing optimum methods, in this paper, according to the search mechanism of differential evolution algorithm (DEA), a new differential evolution algorithm is proposed to complex optimization problem with hybrid discrete variables The dynamic penalty function was constructed. DEA algorithm program with hybrid discrete variables is developed. The computing examples of mechanical optimization design show that this algorithm has no special requirements on the characteristics of optimal designing problems, it has a fairly good universal adaptability and a reliable operation of program with a strong ability of overall convergence and high efficiency.

Displacement Analysis of the 3SPS-3CCS Mechanism Based on Hyper-Chaotic Three-Step Iterative Method

The forward displacement analysis of parallel mechanism is transformed into find the solutions of complicated nonlinear equations and it is a very difficult process. Taking chaotic sequences as the initial values of the three-step iterative method, we can find all the solutions of equations quickly. Making use of existing chaos system and discovering new chaos system to generate chaotic sequences with good properties is the key to the three-step iterative method based on Chaos sequences. Based on utilizing hyper-chaotic Hénon mapping to obtain initial points, a new method of finding all real number solutions of the nonlinear questions is proposed. Using cosine matrix method, the author established the mathematical model of forward displacement for the generalized 3SPS-3CCS parallel robot mechanism and a numerical example is given. Compared to the quaternion method building mathematical model, the result shows cosine matrix method building mathematical model and hyper-chaotic three-step iterative method to find solution is brief and high calculation efficiency as the calculation is done in real number range. The proposed method has universality which can be used in forward displacement of other parallel mechanism.

The Research of Composite Nonlinear Discrete Chaos Dynamical Systems to Mechanism Synthesis

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.

Green Design and Manufacturing Technology of the Rock Drilling Machines

Green design and manufacture is a kind of sustainable development model in modern manufacture. This paper focuses on green design concept, application and selection of green materials and product manufacturing of the rock drilling machines.

Displacement Analysis of Nine-Link Barranov Truss Based on Hyper-Chaotic Least Square Method

Four constrained equations were established by vector method with complex numbers according to four loops of the mechanism and four supplement equations were also established by increasing four variables and the relation of sine and cosine function. The established eight equations are that of forward displacement analysis of the 30th 2-coupled–degree nine-link Barranov truss mechanism. Combining least square method with hyper-chaotic sequences, hyper-chaotic least square method based on utilizing two-dimensional discrete hyper-chaotic system to obtain locate initial points to find all real solutions of the nonlinear questions was proposed. The numerical example of forward displacement analysis was given. Comparison was also done with other finding solution method. The result shows that all real solutions have been quickly obtained, and it proves the correctness and validity of the proposed method.

The Research of Lorenz Chaos Mapping Method to Mechanism Synthesis

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 serials produced by Lorenz chaos mapping method was analyzed. For the first time, a new method to find all solutions based on utilizing Lorenz chaos mapping 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 Chebyshev Chaos Mapping Method to Mechanism Synthesis

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 serials produced by Chebyshev chaos mappings was analyzed. For the first time, a new method to find all solutions based on utilizing Chebyshev chaos mappings 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.

Chaos Nested Intervals Method to Solve Nonlinear Equations and Planar Crank-Slide Mechanism Synthesis

The problem of planar crank-slide mechanism synthesis is 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, based on the study of statistic property of Logistic mapping, a new method to find all solutions of the nonlinear equations based on utilizing chaos nested intervals of Logistic mapping to obtain locate initial points is proposed. The numerical example shows that the method is effective. This provides a simple realization method for mechanics design.