| Summary: | 博士 === 國立成功大學 === 機械工程學系碩博士班 === 93 === The motivation of this study is that various amazing results can be obtained by combining the primitive mechanisms or kinematic building blocks in different ways and which may provide more alternatives in the design or re-design of mechanisms. With aiming at the function generation issue, this work is devoted to develop a physical oriented methodology for synthesizing the qualitative functional alternatives of mechanism systems that are constructed with a designated power source and a given number of building blocks.
In accordance with the input/output kinematic natures and transformations of mechanisms, the study begins with concluding the qualitative functional characteristics, defining and listing 36 building blocks for reference. With the aid of graph representation, the combination relationships among the building blocks are revealed explicitly by representing the system as an arborescence. By adopting the matter-element concept, mechanisms are characterized as 10-dimensional matter-elements and such representations facilitate exploring and analyzing the inner functional natures and outer combinatorial characteristics of building blocks. Then, the physical oriented methodology consisted of two phases is proposed. In the first phase, based on graph theory, a matrix-based method is presented to enumerate all possible and feasible combined configurations of the given building blocks. In the second phase, through establishing the matter-element properties and operation rules, a rules-based method for symbolic manipulation is developed to generate the functional alternatives for the configurations obtained in the first phase. Ultimately, according to whether the building blocks are all distinct or not, two complete examples are illustrated to validate the presented methodology. Four distinct building blocks, namely, a slider-crank mechanism, a spur-gear pair, a wedge cam with a translating follower, and a cylindrical cam with a translating follower, are taken as the first example. And, supposing the mechanism systems are driven by either a rotary power source or a translational one, the results show that 28 and 20 functional alternatives of mechanism systems are obtained respectively. The other combinatorial example is taken by three slider-crank mechanisms (one is driven by the crank and two are driven by the slider) and two Geneva wheel mechanisms, and the results reveal that 108 and 60 functional alternatives are generated respectively.
In this work, since various combined mechanisms with different functionality can be synthesized systematically by the proposed approach, the result is beneficial to the conceptual design of mechanisms for function generation.
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