基于混沌理论和控制的机构学新理论和新方法

Chaos has been found widely in mechanisms problems which can be utilized for developing new idea in solving difficult design and synthesis problems. In this project, chaos and its control in mechanisms problem (computational kinematics, conceptual design of mechanisms and mechanism dynamics) will be investigated by using modern design theory and method such as advanced design optimization method, artificial neural network and advanced computational and numerical techniques including homotopy iteration algorithm proposed by our project research group. This investigation and related research can lead to develope new design method and/or criterion based on utilizing or controling chaos, and the improvement of the previously developed theory and method of mechanisms problems by our research group, new design optimization techniques, homotopy iteration method and etc. can also be made. For example, in the computational kinematics the common used solution method is to transform the analysis or synthesis problem to a nonlinear mapping, and chaos exists in this mapping process and can be used for finding global solutions. Artificial neural network technique is a powerful tool in conceptual mechanisms design, and the focal point in this research is the application of chaos theory. Finally, achievements in this research can be extended to the application of chaos theory in other engineering design problems as well.

在本课题组有关机构学理论和方法的研究基础上，拟利用现代设计理论及工具研究机构学(扑愣ρА⒒勾葱律杓萍盎苟ρ杓?中的混沌现象及其控制利用问题，深入现有的优化设计和同伦迭代法等方面的研究，探索解决一些困难问题，以期提出基于混沌理论的机构学新的理论和方法。本研究还可扩展混沌理论在其他工程设计问题中的应用领域。