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Table of Contents
Intro
Preface
Contents
1 Introduction
1.1 Fixturing Method
1.1.1 Alignment Fixturing
1.1.2 Fixture Fixturing
1.2 Fixture Structure
1.2.1 Types of Fixtures
1.2.2 Configuration of Fixtures
1.3 Fixture Design
References
2 Analysis of Locating Determination
2.1 Model of Theoretical DOF
2.1.1 Relationship Between Machining Requirements and DOFs
2.1.2 Establishment of Theoretical DOF Model
2.1.3 Undetermined Coefficient Method
2.1.4 Solving Rank Method
2.2 DOF Level Model of Position Sizes
2.2.1 Position Size of Plane Relative to Plane
2.2.2 Position Size of Line Relative to Plane
2.2.3 Position Size of Plane Relative to Line
2.2.4 Position Size of Line Relative to Line
2.3 DOF Level Model of Orientations
2.3.1 Relation Between Parallelism Tolerance and DOFs
2.3.2 Relation Between Perpendicularity/Inclination Tolerance and DOFs
2.4 DOF Level Model of Locations
2.4.1 Relation Between Coaxiality Tolerance and DOFs
2.4.2 Relation Between Symmetry Tolerance and DOFs
2.4.3 Relation Between Position Tolerance and DOFs
2.4.4 Relation Between Runout Tolerance and DOFs
2.5 Model of Locating Point Layout
2.5.1 Establishment of Locating Point Layout Model
2.5.2 Solution of Locating Point Layout Model
2.6 Judgment Criteria of Locating Determination
2.6.1 Theoretical Condition
2.6.2 Process Condition
2.6.3 Corollary and Flowchart
2.7 Application and Analysis
2.7.1 Verification of Locating Point's Number
2.7.2 Verification of the Layout of Locating Points
References
3 Analysis of Workpiece Stability
3.1 Modeling of Workpiece Stability
3.1.1 Static Equilibrium Conditions
3.1.2 Friction Cone Constraints
3.1.3 Analysis Model
3.2 Solution Techniques
3.2.1 Linear Programming Techniques
3.2.2 Solution to the Model of Form-Closure
3.2.3 Solution to the Model of Force-Closure
3.3 Numerical Examples
3.3.1 Analysis of Force Existence
3.3.2 Analysis of Force Feasibility Without Friction
3.3.3 Analysis of Force Feasibility with Friction
References
4 Analysis of Clamping Reasonability
4.1 Local Deformation
4.1.1 Contact Deformation
4.1.2 Fixel Deformation
4.1.3 Local Deformation
4.2 Workpiece Position Error
4.2.1 Static Equilibrium Equation
4.2.2 Friction Cone
4.2.3 Relationship Between Local Deformation and Contact Force
4.2.4 Relationship Between Workpiece Position Error and Local Deformation
4.2.5 Solution Method
4.3 Workpiece Deformation
4.4 Modeling of Clamping Reasonability
4.5 Application and Analysis
4.5.1 Analysis of the Clamping Error Due to the Weak Stiffness Workpiece
4.5.2 Evaluation of the Clamping Error of High Stiffness Workpiece
References
5 Analysis of Workpiece Attachment/Detachment
5.1 Attachment and Detachment Model
5.2 Judgment Method of the Attachment and Detachment
Preface
Contents
1 Introduction
1.1 Fixturing Method
1.1.1 Alignment Fixturing
1.1.2 Fixture Fixturing
1.2 Fixture Structure
1.2.1 Types of Fixtures
1.2.2 Configuration of Fixtures
1.3 Fixture Design
References
2 Analysis of Locating Determination
2.1 Model of Theoretical DOF
2.1.1 Relationship Between Machining Requirements and DOFs
2.1.2 Establishment of Theoretical DOF Model
2.1.3 Undetermined Coefficient Method
2.1.4 Solving Rank Method
2.2 DOF Level Model of Position Sizes
2.2.1 Position Size of Plane Relative to Plane
2.2.2 Position Size of Line Relative to Plane
2.2.3 Position Size of Plane Relative to Line
2.2.4 Position Size of Line Relative to Line
2.3 DOF Level Model of Orientations
2.3.1 Relation Between Parallelism Tolerance and DOFs
2.3.2 Relation Between Perpendicularity/Inclination Tolerance and DOFs
2.4 DOF Level Model of Locations
2.4.1 Relation Between Coaxiality Tolerance and DOFs
2.4.2 Relation Between Symmetry Tolerance and DOFs
2.4.3 Relation Between Position Tolerance and DOFs
2.4.4 Relation Between Runout Tolerance and DOFs
2.5 Model of Locating Point Layout
2.5.1 Establishment of Locating Point Layout Model
2.5.2 Solution of Locating Point Layout Model
2.6 Judgment Criteria of Locating Determination
2.6.1 Theoretical Condition
2.6.2 Process Condition
2.6.3 Corollary and Flowchart
2.7 Application and Analysis
2.7.1 Verification of Locating Point's Number
2.7.2 Verification of the Layout of Locating Points
References
3 Analysis of Workpiece Stability
3.1 Modeling of Workpiece Stability
3.1.1 Static Equilibrium Conditions
3.1.2 Friction Cone Constraints
3.1.3 Analysis Model
3.2 Solution Techniques
3.2.1 Linear Programming Techniques
3.2.2 Solution to the Model of Form-Closure
3.2.3 Solution to the Model of Force-Closure
3.3 Numerical Examples
3.3.1 Analysis of Force Existence
3.3.2 Analysis of Force Feasibility Without Friction
3.3.3 Analysis of Force Feasibility with Friction
References
4 Analysis of Clamping Reasonability
4.1 Local Deformation
4.1.1 Contact Deformation
4.1.2 Fixel Deformation
4.1.3 Local Deformation
4.2 Workpiece Position Error
4.2.1 Static Equilibrium Equation
4.2.2 Friction Cone
4.2.3 Relationship Between Local Deformation and Contact Force
4.2.4 Relationship Between Workpiece Position Error and Local Deformation
4.2.5 Solution Method
4.3 Workpiece Deformation
4.4 Modeling of Clamping Reasonability
4.5 Application and Analysis
4.5.1 Analysis of the Clamping Error Due to the Weak Stiffness Workpiece
4.5.2 Evaluation of the Clamping Error of High Stiffness Workpiece
References
5 Analysis of Workpiece Attachment/Detachment
5.1 Attachment and Detachment Model
5.2 Judgment Method of the Attachment and Detachment