NORM FUNCTIONAL MULTIDIMENSIONAL SPACE THEORY USED FOR DYNAMIC MECHANICAL DESIGN
　

JIANG Yongmin  XU Mingheng

(Department of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031)

Abstract: A dynamic design method using functional analysis is described. Lacking of proper realization and analyses method, it is difficult to deal with dynamic design problem in more than three-dimensional space. Therefore, more abstractive and comprehensive design method is needed to solve the problem. Functional analysis theory is a mature hyperspace mathematics theory. It is a potent tool for multidimensional space analysis and expression. It can be used to solve the dynamic design problem such as multivariate system description, relation model establishment, optimization treatment etc. The variables which have dissimilar physics signification may have similar norm functional expression, so it is benefit for the simplification and abstract of complicated question. The content of design is to establish the model and to analyse the model. The way of design is rigorous calculation rather than geometric analogy, the result of design is optimal solution of system functional. Centrifugal velocity modulation system is a typical mechanical dynamical system. According to the dynamic requirement, the energy norm function of the system has been built-up and calculated. In this way, the mechanical structure design be worked out. The results demonstrate that this design method is feasible and accurate digitizing dynamic design methods.

Key words: Multidimensional space Path planning Dynamic design Norm functional space

CLC No: TH122  TH123⁺.1

四川省教育厅自然科学基金重点资助项目(2004A163). Received 20051027, received in revised form 20051230