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The path planning of tube-sheet welding can be approximately equivalent to traveling salesman problem (TSP), which belongs to NP-hard problem. To solve this problem, the standard firefly algorithm is discreted, and a new firefly distance pattern is proposed to represent the distance between two fireflies. At the same time, a new random rule is introduced into the iteration rule for stochastic search. To implement the algorithm, the fitness function of the shortest welding path considering the thermal deformation based on the Gauss heat distribution law is constructed in this paper. The experiment of path planning of tube-sheet welding is taken by applying of the proposed DFA, the results show that the proposed algorithm is efficiency and the fitness function is feasible.

In this paper, the entity-connector and non-entity-connector of design feature are defined and the connector is divided into two classes. The P/T net-based hierarchy structure model of the component-connector design feature and the energy flowing P/T net model of the primitive mechanism are built up. The product model is mathematically described from the perspectives of the function, design feature, attribute and their relationships. Then the P/T net-based hierarchy structural model is applied to represent the conceptual product, and the energy flowing P/T net is established to simulate the working status of the conceptual product.