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Mechanical Sciences An open-access journal for theoretical and applied mechanics

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Mech. Sci., 8, 359-368, 2017
https://doi.org/10.5194/ms-8-359-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
12 Dec 2017
A modified pseudo-rigid-body modeling approach for compliant mechanisms with fixed-guided beam flexures
Pengbo Liu1 and Peng Yan1,2 1Key Laboratory of High-efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan, Shandong, 250061, China
2School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China
Abstract. In the present paper, we investigate a modified pseudo-rigid-body (MPRB) modeling approach for compliant mechanisms with fixed-guided beam flexures by considering the nonlinear effects of center-shifting and load-stiffening. In particular, a fixed-guided compliant beam is modeled as a pair of fixed-free compliant beams jointed at the inflection point, where each fixed-free beam flexure is further modeled by a rigid link connected with an extension spring by a torsion spring, based on the beam constraint model (BCM). Meanwhile, the characteristic parameters of the proposed MPRB model are no longer constant values, but affected by the applied general tip load, especially the axial force. The developed MPRB modeling method is then applied to the analysis of three common compliant mechanisms (i.e. compound parallelogram mechanisms, bistable mechanisms and 1-DOF translational mechanisms), which is further verified by the finite element analysis (FEA) results. The proposed MPRB model provides a more accurate method to predict the performance characteristics such as deformation capability, stiffness variation, as well as error motions of complaint mechanisms with fixed-guided beam flexures, and offers a new look into the design and optimization of beam-based compliant mechanisms.

Citation: Liu, P. and Yan, P.: A modified pseudo-rigid-body modeling approach for compliant mechanisms with fixed-guided beam flexures, Mech. Sci., 8, 359-368, https://doi.org/10.5194/ms-8-359-2017, 2017.
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Short summary
In the present paper, we investigate a modified pseudo-rigid-body (MPRB) modeling approach for compliant mechanisms with fixed-guided beam flexures by considering the load-dependent property. The proposed MPRB model provides a more analytical and accurate method to predict the performance characteristics such as deformation capability, stiffness variation, as well as error motions of complaint mechanisms and offers a new look into the design and optimization of beam-based compliant mechanisms.
In the present paper, we investigate a modified pseudo-rigid-body (MPRB) modeling approach for...
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