Ren Jun, Lan Aojie
Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, China.
Micromachines (Basel). 2024 Feb 29;15(3):354. doi: 10.3390/mi15030354.
In order to expand the range of motion performance of the 3-PSS-compliant parallel micro-motion platform, a variable inclination angle of the mechanism's guide rails was introduced to construct a category of generalized 3-PSS compliant parallel micro-motion platforms with distinct configurations (exhibiting different motion performances) but identical motion patterns (three translational degrees of freedom). The compliance and kinetostatics of such micro-motion platform are modeled and analyzed. Firstly, the compliance model is established based on the coordinate transformation method. Then, simplifying the micro-motion platform into a spring system, the kinetostatic model in terms of input force-output displacement is established based on the compliance model using the compliance matrix method. For practical application considerations, the kinetostatic model in terms of input displacement-output displacement is further derived based on the input force-output displacement model. Then, the correctness of the established compliance model and kinetostatic model is successively verified through finite element simulation. Finally, using two specified motion trajectories (spatial spiral trajectory and planar circular trajectory) as examples, an analysis is conducted on the influence of guide rail inclination angle variations on the kinetostatic performance of the micro-motion platform. This analysis serves as guidance for the rational design of such micro-motion platforms.
为了扩大3-PSS柔顺并联微动平台的运动性能范围,引入机构导轨的可变倾斜角度,构建一类具有不同构型(表现出不同运动性能)但运动模式相同(三个平动自由度)的广义3-PSS柔顺并联微动平台。对这种微动平台的柔顺性和运动静力学进行建模与分析。首先,基于坐标变换法建立柔顺模型。然后,将微动平台简化为弹簧系统,基于柔顺模型采用柔顺矩阵法建立输入力-输出位移的运动静力学模型。出于实际应用考虑,基于输入力-输出位移模型进一步推导输入位移-输出位移的运动静力学模型。接着,通过有限元模拟依次验证所建立的柔顺模型和运动静力学模型的正确性。最后,以两条指定的运动轨迹(空间螺旋轨迹和平面圆周轨迹)为例,分析导轨倾斜角度变化对微动平台运动静力学性能的影响。该分析为这种微动平台的合理设计提供指导。