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Performance Analysis and Optimization of Parallel Manipulators

āœ Scribed by Qinchuan Li, Chao Yang, Lingmin Xu, Wei Ye


Publisher
Springer-HUST
Year
2023
Tongue
English
Leaves
303
Series
Research on Intelligent Manufacturing
Category
Library

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✦ Synopsis


This book investigates the performance analysis and optimization design of parallel manipulators in detail. It discusses performance evaluation indices for workspace, kinematic, stiffness, and dynamic performance, single- and multi-objective optimization design methods, and ways to improve optimization design efficiency of parallel manipulators. This book collects the authors’ research results previously scattered in many journals and conference proceedings and presents them in a unified form after the methodical edition. As a result, numerous performance analyses and optimization of parallel manipulators are presented, in which the readers in the robotics community may be greatly interested. More importantly, readers can use the methods and tools introduced in this book to carry out performance evaluation and optimization of parallel manipulators by themselves. The book can provide important reference and guideline for undergraduate and graduate students, engineers, and researchers who are interested in design and application of parallel manipulators.

✦ Table of Contents


Brief Introduction
Contents
1 Introduction
1.1 Research Background
1.2 Performance Evaluation Indices
1.2.1 Workspaces
1.2.2 Kinematic Performance
1.2.3 Stiffness Performance
1.2.4 Dynamic Performance
1.3 Optimization Algorithm
1.3.1 Traditional Optimization Algorithms
1.3.2 Intelligent Optimization Algorithms
1.3.3 Ways toĀ Improve Optimization Algorithms
1.4 Multi-Objective Optimization Methods
1.4.1 Comprehensive Objective Method
1.4.2 Pareto Frontier Method
1.4.3 PCA Method
1.5 Summary
References
2 Kinematic Performance Analysis andĀ Optimization ofĀ Parallel Manipulators Without Actuation Redundancy
2.1 Basics ofĀ Screw Theory
2.2 Condition Number Indices andĀ Applications
2.2.1 Condition Number Indices
2.2.2 Example 1: 6PSS PM
2.2.3 Example 2: 2-(PRR)2RH PM
2.2.4 Example 3: 2PRS-PRRU PM
2.3 Motion/Force Transmission Indices andĀ Applications
2.3.1 Motion/Force Transmission Indices
2.3.2 Example 1: 6PSS PM
2.3.3 Example 2: 2PUR-PRU PM
2.3.4 Example 3: 2PUR-PSR PM
2.4 Motion/Force Constraint Indices andĀ Applications
2.4.1 Motion/Force Constraint Indices
2.4.2 Example 1: 2PUR-PRU PM
2.4.3 Example 2: 2PUR-PSR PM
2.5 Summary
References
3 Motion/Force Transmission Performance Analysis andĀ Optimization ofĀ Parallel Manipulators withĀ Actuation Redundancy
3.1 Motion/Force Transmission Indices ofĀ Parallel Manipulators withĀ Actuation Redundancy
3.2 Example 1: 6PSS-UPS PM
3.3 Example 2: 2UPR-2PRU PM
3.4 Example 3: 2PUR-2PRU PM
3.5 Summary
References
4 Motion/Force Constraint Performance Analysis andĀ Optimization ofĀ Overconstrained Parallel Manipulators withĀ Actuation Redundancy
4.1 Motion/Force Constraint Indices ofĀ Overconstrained Parallel Manipulators withĀ Actuation Redundancy
4.2 Example 1: 2UPR-2PRU PM
4.3 Example 2: 2PUR-2PRU PM
4.4 Summary
References
5 Elastostatic Stiffness Evaluation andĀ Optimization ofĀ Parallel Manipulators
5.1 Stiffness Performance Evaluation Index
5.2 Example: 2UPR-RPU PM
5.2.1 Stiffness Modeling
5.2.2 Stiffness Performance Optimization
5.3 Summary
References
6 AĀ Methodology forĀ Optimal Stiffness Design ofĀ Parallel Manipulators Based onĀ theĀ Characteristic Size
6.1 Methodology forĀ theĀ Optimal Stiffness Performance Design ofĀ PMs
6.2 Example 1: Optimal Stiffness Performance Design ofĀ theĀ 2UPR-RPU PM
6.3 Example 2: Optimal Stiffness Performance Design ofĀ theĀ 2PRU-PSR PM
6.4 Summary
References
7 Multi-objective Optimization ofĀ Parallel Manipulators Using Game Algorithm
7.1 Multi-objective Optimization Game Algorithm
7.2 Example: 2UPR-RPU PM
7.2.1 Regular Workspace Volume
7.2.2 Motion/Force Transmissibility
7.2.3 Stiffness Performance Evaluation
7.2.4 Multi-objective Optimization
7.3 Summary
References
8 Hybrid Algorithm forĀ Multi-objective Optimization Design ofĀ Parallel Manipulators
8.1 Hybrid Algorithm andĀ GPR-Based Mapping Modeling
8.1.1 Procedure ofĀ theĀ Hybrid Algorithm
8.1.2 GPR-Based Mapping Model
8.2 Example: 2PRU-UPR PM
8.2.1 Kinematic Performance Index
8.2.2 Stiffness Performance Index
8.2.3 Elastodynamic Performance Index
8.2.4 Regular Workspace Volume
8.2.5 Multi-objective Optimization
8.3 Summary
References
9 Sensitivity Analysis andĀ Multi-objective Optimization Design ofĀ Parallel Manipulators
9.1 Sensitivity Analysis andĀ Multi-objective Optimization Design Method
9.1.1 Response Surface Model
9.1.2 Sensitivity Analysis
9.1.3 Multi-objective Optimization Design ofĀ PMs
9.2 Example: Delta PM
9.2.1 Workspace Analysis
9.2.2 Kinematic Performance Index
9.2.3 Dynamic Performance Index
9.2.4 Sensitivity Analysis andĀ Multi-objective Optimization Design ofĀ Delta PM
9.3 Summary
References
10 Multi-objective Optimization Design ofĀ Parallel Manipulators Based onĀ theĀ Principal Component Analysis
10.1 Multi-objective Optimization ofĀ PMs Based onĀ theĀ Principal Component Analysis
10.2 Example 1: 3RPS PM
10.2.1 Performance Indices ofĀ theĀ 3RPS PM
10.2.2 Multi-objective Optimization Design ofĀ theĀ 3RPS PM
10.3 Example 2: 6PSS PM
10.3.1 Performance Indices ofĀ theĀ 6PSS PM
10.3.2 Multi-objective Optimization Design ofĀ theĀ 6PSS PM
10.4 Summary
References
11 Multi-objective Optimization Design ofĀ Parallel Manipulators Based onĀ theĀ Intelligent-Direct Search Algorithm
11.1 Intelligent-Direct Search Algorithm
11.1.1 Introduction ofĀ Pareto Front
11.1.2 Procedure ofĀ theĀ Intelligent-Direct Search Algorithm
11.2 Example: 2UPR-RPU PM
11.2.1 Performance Indices ofĀ theĀ 2UPR-RPU PM
11.2.2 Multi-objective Optimization Design ofĀ theĀ 2UPR-RPU PM
11.3 Summary
References


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