Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining

Currently, the elliptical vibration cutting/coining (EVC<sup>2</sup>) has been widely employed in fabricating various functional microstructure surfaces applied in many significant engineering fields. Therefore, for this study, a novel type of two-degree-of-freedom (2-DOF) piezoelectrica...

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Main Authors: Rongqi Wang, Xiaoqin Zhou, Guangwei Meng
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Micromachines
Subjects:
Online Access:https://www.mdpi.com/2072-666X/10/2/122
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author Rongqi Wang
Xiaoqin Zhou
Guangwei Meng
author_facet Rongqi Wang
Xiaoqin Zhou
Guangwei Meng
author_sort Rongqi Wang
collection DOAJ
description Currently, the elliptical vibration cutting/coining (EVC<sup>2</sup>) has been widely employed in fabricating various functional microstructure surfaces applied in many significant engineering fields. Therefore, for this study, a novel type of two-degree-of-freedom (2-DOF) piezoelectrically actuated pseudo-decoupled compliant mechanisms (PDCMs) with non-orthogonal decoupling structures, which can exactly generate the strict ellipse trajectories, was developed for improving the forming accuracies of the EVC<sup>2</sup> microstructures. First, the compliance matrices of 2-DOF PDCMs were theoretically modeled using the popular finite beam-based matrix modeling (FBMM) and the matrix-based compliance modeling (MCM) methods, then finite element analysis (FEA) was adopted to verify the effectiveness of the built compliance model for the 2-DOF PDCM with arbitrary structure parameters. Second, the static FEA method was employed to systematically reveal the dependencies of the tracking accuracies of the elliptical trajectories on the decoupling structures of 2-DOF PDCMs. Moreover, their main dynamic performances were also investigated through the FEA-based harmonic response analysis and modal analysis. On these bases, the critical angle of the decoupling structure was optimally set at 102.5&#176; so that the PDCMs had minimum shape distortions of the ellipse trajectories. Thirdly, a series of experiments was conducted on this PDCM system for practically investigating its kinematic and dynamic performances. The actual aspect ratio between the major axis and minor axis of the ellipse trajectory was approximately 1.057, and the first-order and second-order resonant frequencies were 863 Hz and 1893 Hz, respectively. However, the obtained testing results demonstrated well the effectiveness and feasibility of 2-DOF PDCM systems in precisely tracking the ellipse trajectories with different geometric parameters. Several critical conclusions on this study are summarized in detail in the final section of this paper.
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spelling doaj.art-e5c5dfb523bb4f50bba82d2ef66b60162022-12-22T01:17:58ZengMDPI AGMicromachines2072-666X2019-02-0110212210.3390/mi10020122mi10020122Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration MachiningRongqi Wang0Xiaoqin Zhou1Guangwei Meng2School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, ChinaSchool of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, ChinaSchool of Mechanical and Aerospace Engineering, Jilin University, Changchun 130022, ChinaCurrently, the elliptical vibration cutting/coining (EVC<sup>2</sup>) has been widely employed in fabricating various functional microstructure surfaces applied in many significant engineering fields. Therefore, for this study, a novel type of two-degree-of-freedom (2-DOF) piezoelectrically actuated pseudo-decoupled compliant mechanisms (PDCMs) with non-orthogonal decoupling structures, which can exactly generate the strict ellipse trajectories, was developed for improving the forming accuracies of the EVC<sup>2</sup> microstructures. First, the compliance matrices of 2-DOF PDCMs were theoretically modeled using the popular finite beam-based matrix modeling (FBMM) and the matrix-based compliance modeling (MCM) methods, then finite element analysis (FEA) was adopted to verify the effectiveness of the built compliance model for the 2-DOF PDCM with arbitrary structure parameters. Second, the static FEA method was employed to systematically reveal the dependencies of the tracking accuracies of the elliptical trajectories on the decoupling structures of 2-DOF PDCMs. Moreover, their main dynamic performances were also investigated through the FEA-based harmonic response analysis and modal analysis. On these bases, the critical angle of the decoupling structure was optimally set at 102.5&#176; so that the PDCMs had minimum shape distortions of the ellipse trajectories. Thirdly, a series of experiments was conducted on this PDCM system for practically investigating its kinematic and dynamic performances. The actual aspect ratio between the major axis and minor axis of the ellipse trajectory was approximately 1.057, and the first-order and second-order resonant frequencies were 863 Hz and 1893 Hz, respectively. However, the obtained testing results demonstrated well the effectiveness and feasibility of 2-DOF PDCM systems in precisely tracking the ellipse trajectories with different geometric parameters. Several critical conclusions on this study are summarized in detail in the final section of this paper.https://www.mdpi.com/2072-666X/10/2/122compliant mechanismCMelliptical vibration machiningEVM) pseudo-decoupledtracking accuracyelliptical trajectoryflexure hinges
spellingShingle Rongqi Wang
Xiaoqin Zhou
Guangwei Meng
Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
Micromachines
compliant mechanism
CM
elliptical vibration machining
EVM) pseudo-decoupled
tracking accuracy
elliptical trajectory
flexure hinges
title Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
title_full Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
title_fullStr Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
title_full_unstemmed Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
title_short Development of A New Type of 2-DOF Piezo-Actuated Pseudo-Decoupled Compliant Mechanism for Elliptical Vibration Machining
title_sort development of a new type of 2 dof piezo actuated pseudo decoupled compliant mechanism for elliptical vibration machining
topic compliant mechanism
CM
elliptical vibration machining
EVM) pseudo-decoupled
tracking accuracy
elliptical trajectory
flexure hinges
url https://www.mdpi.com/2072-666X/10/2/122
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AT xiaoqinzhou developmentofanewtypeof2dofpiezoactuatedpseudodecoupledcompliantmechanismforellipticalvibrationmachining
AT guangweimeng developmentofanewtypeof2dofpiezoactuatedpseudodecoupledcompliantmechanismforellipticalvibrationmachining