文章设计了一种三自由度混联振动筛分机构，并分析了机构自由度及筛面的运动特性，通过分析可以得出筛面能够实现的运动。再用矢量封闭形方法对该机构进行位置正反解分析，得到相应的位置方程，并对其求导得到了机构的速度、加速度正反解数学表达式。采用ADAMS进行仿真，证明了该三自由度混联振动筛分机构可以实现两个平移一个转动的运动，为该三自由度混联振动筛分机构的动力学建模和实际应用提供了理论基础。

Firstly, a 3-DoF hybrid vibration screening mechanism is designed, and the degree of freedom of the mechanism and the motion characteristics of the screening surface are analyzed. Through the analysis, the motion of the screening surface can be obtained. Secondly, the vector closed form method is used to analyze the positive and negative solutions of the mechanism, and the corresponding position equations are obtained, and the mathematical expressions of the positive and negative solutions of the velocity and acceleration of the mechanism are obtained by derivation. Finally, ADAMS is used to simulate and prove that the 3-DoF hybrid vibration screening mechanism can realize two translations and one rotation, which provides a theoretical basis for the dynamic modeling and practical application of the 3-DoF hybrid vibration screening mechanism.