Based on the top-down design conception, a framework model concept was proposed. This framework model was full size driven through the EXCEL table, and on this basis, the generation of a three-dimensional mathematical model was realized. At the same time, by using the finite element analysis software secondary development technology, the improved particle swarm algorithm based on the strategy of parameter was introduced in the finite element analysis program for the united solution to advanced algorithm theory and engineering optimization problems, so that the parameterized engineering analysis of the key components of the whole machine was realized. Finally, the related procedures were highly integrated in the expert system platform. By inputting design parameters by interface, users can get the 3-d parameterized mathematical model and finite element analysis results, so as to guide practical designs. The example of bucket wheel stacker has shown that the introduction of the concept of parameterized design and engineering analysis has considerable significance and engineering application value in the serialization development of large special equipment.