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Multi-Objective Topology Optimization of a Compliant Parallel Planar Mechanism under Combined Load Cases and
Gao Wang1, Dachang Zhu2, Ning Liu3
1School of Information Science and Technology, Jinan University, Guangzhou 510632, China. twangg@jnu.edu.cn.
Micromachines
|November 8, 2018
Summary
This study introduces a novel compliant parallel mechanism (CPM) design for planar continuum structures, enhancing vibration suppression and stiffness in ultra-precision equipment. The optimized mechanism shows improved performance, validated by experimental results.
Area of Science:
- Mechanical Engineering
- Robotics
- Materials Science
Background:
- Ultra-precision positioning and manufacturing equipment are susceptible to random vibrations, impacting performance.
- Compliant Parallel Mechanisms (CPMs) offer potential for vibration suppression but require optimized designs.
- Existing designs may not adequately balance stiffness, vibration frequency, and compliance.
Purpose of the Study:
- To develop a new configuration design for a planar continuum structure CPM.
- To analyze and improve the vibration-inherent frequency characteristics for enhanced vibration suppression.
- To optimize the mechanism for static stiffness and minimize compliance using topology optimization.
Main Methods:
- Constructed a vector-mapping isomorphism between fully CPM and conventional parallel mechanisms using a kinematic differential Jacobian matrix.
- Developed a mathematical model for topology optimization, balancing static stiffness and mean vibration-inherent frequency.
- Applied the Solid Isotropic Material with Penalization (SIMP) technique for multi-objective topology optimization of a 3-PRR planar nano-positioning continuum structure.
Main Results:
- Achieved improved stiffness and vibration suppression performance in the optimized continuum structure.
- Maintained identical differential kinematics characteristics between the optimized CPM and its isomorphic prototype.
- Reduced crossover oscillation in frequency response and demonstrated rapid convergence during optimization iterations.
Conclusions:
- The novel CPM configuration design effectively enhances stiffness and vibration suppression for planar motion.
- Topology optimization provides a rational approach for dimensional design and optimal modal parameters.
- Experimental validation confirmed the improved performance of the optimized planar fully compliant micro displacement continuum structure.
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