Advanced fixture design method and its application / Guohua Qin.

Qin, Guohua, author.
Gateway East, Singapore : Springer, [2021]
1 online resource (344 pages)

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Manufacturing processes.
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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
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
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
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
5 Analysis of Workpiece Attachment/Detachment
5.1 Attachment and Detachment Model
5.2 Judgment Method of the Attachment and Detachment
5.3 Analysis Algorithm of the Attachment and Detachment Direction
5.3.1 Calculation Algorithm of the Generator Matrix of the Non-Positive Dual Matrix
5.3.2 Classification Method of Coefficient Matrix
5.3.3 Application of Pivot Algorithm
5.4 Analysis and Application of Attachment and Detachment
5.4.1 Three Dimensional Workpiece
5.4.2 Two Dimensional Workpiece
6 Analysis of Locating Accuracy
6.1 Analysis Model
6.1.1 Locating Source Error
6.1.2 Workpiece Position Error
6.1.3 Locating Error
6.2 Position Error Model of Contact Point
6.2.1 Directional Dimension Path
6.2.2 Directional Dimension Chain
6.3 Examples and Experiments
6.3.1 One Vee Bloke-One Supporting Pin Locating Scheme.
6.3.2 Two Cylindrical Pins Locating Scheme
6.3.3 One Plane-Two Holes Locating Scheme
6.3.4 Experimental Validation
7 Selection Algorithm of Locating Datum
7.1 Hierarchical Structure Model
7.1.1 Surface Roughness
7.1.2 Surface Feature
7.1.3 Valid Locating Domain
7.1.4 Dimension Error
7.2 Judgement Matrix
7.3 Layer Weight Vector
7.4 Combination Weight Vector
7.5 Reconstruction of Judgment Matrix
7.6 Algorithm and Application
7.6.1 Algorithm and Flow
7.6.2 Practical Example
8 Planning Algorithm of Locating Point Layout
8.1 Locating Point Layout Scheme
8.2 Causes of Locating Non-determination
8.3 Generative Planning Algorithm
8.4 Application and Design Process
9 Planning Algorithm of Clamping Forces for Rigid Workpieces
9.1 Mechanical Model of Fixturing Scheme
9.1.1 Workpiece Static Equilibrium Constraints
9.1.2 Direction Constraints
9.2 Analysis of Force Existence
9.3 Analysis of Force Feasibility
9.4 Planning Algorithm of 1-clamping Force
9.5 Planning Algorithm of n-clamping Force
9.6 Calculation of Clamping Forces
9.6.1 Single Clamping Force of 2D Workpiece
9.6.2 Single Clamping Force of 3D Workpiece
9.6.3 Double Clamping Forces of 2D Workpiece
10 Determination Method of Clamping Point Layout for Rigid Workpieces
10.1 Workpiece Stability
10.1.1 Stability Index
10.1.2 Stability Measurement
10.2 Planning Algorithm of Application Region
10.3 Planning Method of Fixturing Layout
10.4 Numerical Tests of Application Region Planning
10.4.1 Planning of Application Region for One Clamping Force
10.4.2 Calculation of Stable Region in Dynamic Machining Process
10.4.3 Planning of Application Region for Multiple Clamping Forces
10.5 Examples of Fixturing Layout Optimization.
10.5.1 Fixturing Layout Optimization of 2D Workpiece
10.5.2 Fixturing Layout Optimization of 3D Workpiece
11 Fixturing Layout Optimization of Thin-Walled Workpieces
11.1 Finite Element Analysis of Fixturing Deformation
11.1.1 Static Equilibrium Conditions
11.1.2 Friction Cone Constraints
11.1.3 Unilateral Contact Constraints
11.2 Prediction Method for Fixturing Deformation
11.2.1 Structure of Neural Network
11.2.2 Selection of Training Samples
11.2.3 Update of Weight Coefficients
11.3 Optimization Technology of Fixturing Layout
11.3.1 Optimal Model
11.3.2 Solution Technology
11.4 Numerical Tests and Experiments
11.4.1 Prediction of Workpiece Deformation
11.4.2 Optimization of Fixturing Layout
12 Matching Method of Fixture Elements
12.1 Analytical Hierarchy Process
12.2 Construction of Hierarchical Structure Model
12.2.1 Structural Model
12.2.2 Selection Factor
12.3 Determination of Layer Weight Vector for Criterion Layer
12.3.1 Construction of Judgement Matrix
12.3.2 Check of Consistency
12.4 Determination of Layer Weight Vector for Scheme Layer
12.4.1 Construction of Judgment Matrix
12.4.2 Check of Consistency
12.4.3 Decision Index of Locators
Correction to: Advanced Fixture Design Method and Its Application
Correction to: G. Qin, Advanced Fixture Design Method and Its Application,
Description based on print version record.