关键词: 弹性, 连杆机构, 逆特征值, 最优性

Abstract: 　　Combining with the optimality criterion method and the bi-factor algorithm, the inverse eigenvalue problem for optimal parameters design of elastic mechanisms is solved effectively. Recursion formulas for resizing the design variables and the first and second order design sensitivity formulas of eigenvalues for the elastic mechanisms are presented. The stress and displacement constraints are considered in the design process. The value ranges for the two relaxation factors are also discussed. Examples indicate that, by means of the presented method to design the sectional parameters of elastic mechanisms, the lower order resonance phenomenon can be almost avoided and the dynamic properties of the mechanisms can be significantly improved.

Key words: Elasticity, Inverse eigenvalue, Linkage mechanism, Optimality