Abstract: Targeted at bilateral rockers’ deflection problem of the single-crank and double-rockers mechanism widely applied in the flapping-wing mechanisms and variable-sweep wing mechanisms, a study idea of optimization design using combination of analytical method and simulation results is presented. The concept of single-crank and double-rockers mechanism is expanded from two kinds of exceptions to a general unified model. And a mathematical model of its rockers-synchronized performance optimum design is established on the basis of fundamental equations of planar link mechanisms. By introducing the rockers synchronism hypothesis and symmetry assumptions of utmost position, and by using Taylor’s expansion formula, the theoretical relationship of the optimal design variables is solved. But it’s difficult to be achieved in the real work because the theoretical optimal solution demands not a fixed length rocker but a time-varying one. So the approximate empirical formulas and design curves of optimum design variables of the single-crank and double-rockers mechanism are further given on the basis of the theoretical optimal solution and a large number of systematic mechanism simulation studies. Thus a complete solution of this synchronization performance optimization problem of single-crank and double-rockers mechanism is obtained, and its practicability is demonstrated through some design examples.

Key words: Flapping-wing mechanism, Optimum design, Single-crank and double-rockers mechanism, Synchronism, Variable-sweep wing