Abstract: The recording data in the process of development, testing and product prototype running of the complex mechanical product is discrete, making it impossible to accomplish the product performance scheme design effectively. Moreover, there is a large error between the continuous theoretical calculation data and the actual test data. In order to solve this problem, the multi-parameter correlation inversion analysis model is established. By combining the numerical and geometric analysis methods and using multi-parameter correlation homotopy inversion technology, a scheme inversion analysis method to obtain or approximate to the actual continuous parameter data based on the theoretical calculation data and the actual test data is proposed. Using the multi-parameter homotopy revising technology to restrain the observation noise, the performance scheme inversion analysis results are revised, so that the multi-parameter correlation performance scheme design of the complex mechanical product is accomplished. Taking the performance scheme inversion analysis case of the HT××X3Y× series injection molding machine from the Ningbo Haitian Group Ltd. as an example, how this method is applied to the performance scheme design of the practical complex mechanical product is elaborated, and the correctness, effectiveness and practicality of this method is verified in the meanwhile.

Key words: Homotopy transform, Multi-parameter correlation, Scheme inversion, Star coordinates