Dynamic Modeling of Compliant Mechanisms Based on the Pseudo-Rigid-Body Model

Abstract

Based on the principle of dynamic equivalence, a new dynamic model of compliant mechanisms is developed using the pseudo-rigid-body model. The dynamic equation of general planar compliant mechanisms is derived. The natural frequency of a compliant mechanism is obtained in the example of a planar compliant parallel-guiding mechanism. The numerical results show the effectiveness and advantage of the proposed method compared with the methods of FEA and flexible mechanisms.

Design and analysis of a new compliant XY micropositioning stage based on Roberts mechanism

“…lm 2 and lm 4 are the lumped masses of the two flexible links, which are given in [26]. In addition, ẋ is the velocity of the working platform in one working direction (X-axis), ω 3 is the angular velocity of link 3, and v B , v C , v m3 and v b3 are the velocities of the corresponding points, respectively.…”

Finding the optimal characteristic parameters for 3R pseudo-rigid-body model using an improved particle swarm optimizer

“…The use of PRBM enables us to apply the knowledge available in the field of rigid-body mechanisms to compliant mechanisms. So far, PRBM has been successfully used to identify bistability [2] and tristability [3], characterize dynamic behaviors [4,5], and evaluate workspace [7] of compliant mechanisms.…”

Rigid Dynamic Model and Analysis of 5-DOF Parallel Mechanism

“…The rigid dynamic model and the analysis of the parallel mechanism, which form the theoretical basis of design, motor control, simulation and performance optimization [4][5][6][7][8], must be investigated.…”