Dynamic and trajectory analysis of an XY compliant mechanism for vibration-assisted polishing
摘要
In non-resonant vibration-assisted polishing (VAP), the vibrating mechanism plays the most important role in improving the machining quality of the product's surface. This paper explores the kinetostatic, dynamic, and oscillatory trajectories of a XY compliant mechanism. The proposed mechanism utilizes leaf springs to provide a balance between rigidity and flexibility to sustain the correct vibration patterns. The working space, stress, and kinetostatic are calculated. And then, the resonance frequency of the mechanism is analyzed using the Lagrange II method. Dynamic motion equations of the mechanism in two directions for oscillatory trajectories are formulated via free body diagram, D’Alembert principle, and Laplace transfer function. In VAP, the trajectories are utilized to improve the polishing process by delivering consistent and regulated vibrations. The results found that the suggested mechanism can operate in a broad workspace of 2.62 mm × 2.62 mm with a working frequency of 122.833 Hz. Besides, the errors between vibration path’s calculation and simulation are 8.09% and 7.2% in the X and Y axes, respectively. Theoretical and experimental tests are in a good agreement. The achieved results of this study can be widely applied to other types of compliant mechanisms for application in VAP and other precision machining technology.