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Design of Machinery An Introduction to the Synthesis and Analysis of Mechanisms and Machines

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ISBN-10: 007237960X

ISBN-13: 9780072379600

Edition: 2nd 2001

Authors: Robert L. Norton

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Book details

Edition: 2nd
Copyright year: 2001
Publisher: McGraw-Hill Companies, The
Binding: Hardcover
Pages: 809
Weight: 3.388
Language: English

Preface to the New Media Version of the Second Edition
Preface to the Second Edition
Preface to the First Edition
Kinematics of Mechanisms
Introduction
Purpose
Kinematics and Kinetics
Mechanisms and Machines
A Brief History of Kinematics
Applications of Kinematics
The Design Process
Design, Invention, Creativity
Identification of Need
Background Research
Goal Statement
Performance Specifications
Ideation and Invention
Analysis
Selection
Detailed Design
Prototying and Testing
Production
Other Approaches to Design
Axiomatic Design
Multiple Solutions
Human Factors Engineering
The Engineering Report
Units
What's to Come
References
Bibliography
Kinematics Fundamentals
Introduction
Degrees of Freedom
Types of Motion
Links, Joints, and Kinematic Chains
Determining Degree of Freedom
Degree of Freedom in Planar Mechanisms
Degree of Freedom in Spatial Mechanisms
Mechanisms and Structures
Number Synthesis
Paradoxes
Isomers
Linkage Transformation
Intermittent Motion
Inversion
The Grashof Condition
Classification of the Fourbar Linkage
Linkages of More Than Four Bars
Geared Fivebar Linkages
Sixbar Linkages
Grashof-type Rotatability Criteria for Higher-order Linkages
Springs as Links
Practical Considerations
Pin Joints versus Sliders and Half Joints
Cantilever versus Straddle Mount
Short Links
Bearing Ratio
Linkages versus Cams
Motor and Drives
Electric Motors
Air and Hydraulic Motors
Air and Hydraulic Cylinders
Solenoids
References
Problems
Graphical Linkage Synthesis
Introduction
Synthesis
Function, Path, and Motion Generation
Limiting Conditions
Dimensional Synthesis
Two-Position Synthesis
Three-Position Synthesis with Specified Moving Pivots
Three-Position Synthesis with Alternate Moving Pivots
Three-Position Synthesis with Specified Fixed Pivots
Position Synthesis for More Than Three Positions
Quick-Return Mechanisms
Fourbar Quick-Return
Sixbar Quick-Return
Coupler Curves
Cognates
Parallel Motion
Geared Fivebar Cognates of the Fourbar
Straight-Line Mechanisms
Designing Optimum Straight-Line Fourbar Linkages
Dwell Mechanisms
Single-Dwell Linkages
Double-Dwell Linkages
References
Bibliography
Problems
Projects
Position Analysis
Introduction
Coordinate Systems
Position and Displacement
Position
Displacement
Translation, Rotation, and Complex Motion
Translation
Rotation
Complex Motion
Theorems
Graphical Position Analysis of Linkages
Algebraic Position Analysis of Linkages
Vector Loop Representation of Linkages
Complex Numbers as Vectors
The Vector Loop Equation for a Fourbar Linkage
The Fourbar Slider-Crank Position Solution
An Inverted Slider-Crank Position Solution
Linkages of More Than Four Bars
The Geared Fivebar Linkage
Sixbar Linkages
Position of Any Point on a Linkage
Transmission Angles
Extreme Values of the Transmission Angle
Toggle Positions
Circuits and Branches in Linkages
Newton-Raphson Solution Method
One-Dimensional Root-Finding (Newton's Method)
Multidimensional Root-Finding (Newton-Raphson Method)
Newton-Raphson Solution for the Fourbar Linkage
Equation Solvers
References
Problems
Analytical Linkage Synthesis
Introduction
Types of Kinematic Synthesis
Precision Points
Two-Position Motion Generation by Analytical Synthesis
Comparison of Analytical and Graphical Two-Position Synthesis
Simultaneous Equation Solution
Three-Position Motion Generation by Analytical Synthesis
Comparison of Analytical and Graphical Three-Position Synthesis
Synthesis for a Specified Fixed Pivot Location
Center-Point and Circle-Point Circles
Four- and Five-Position Analytical Synthesis
Analytical Synthesis of a Path Generator with Prescribed Timing
Analytical Synthesis of a Fourbar Function Generator
Other Linkage Synthesis Methods
Precision Point Methods
Coupler Curve Equation Methods
Optimization Methods
References
Problems
Velocity Analysis
Introduction
Definition of Velocity
Graphical Velocity Analysis
Instant Centers of Velocity
Velocity Analysis with Instant Centers
Angular Velocity Ratio
Mechanical Advantage
Using Instant Centers in Linkage Design
Centrodes
A "Linkless" Linkage
Cusps
Velocity of Slip
Analytical Solutions for Velocity Analysis
The Fourbar Pin-Jointed Linkage
The Fourbar Slider-Crank
The Fourbar Inverted Slider-Crank
Velocity Analysis of the Geared Fivebar Linkage
Velocity of Any Point on a Linkage
References
Problems
Acceleration Analysis
Introduction
Definition of Acceleration
Graphical Acceleration Analysis
Analytical Solutions for Acceleration Analysis
The Fourbar Pin-Jointed Linkage
The Fourbar Slider-Crank
Coriolis Acceleration
The Fourbar Inverted Slider-Crank
Acceleration Analysis of the Geared Fivebar Linkage
Acceleration of any Point on a Linkage
Human Tolerance of Acceleration
Jerk
Linkages of N Bars
References
Problems
Cam Design
Introduction
Cam Terminology
Type of Follower Motion
Type of Joint Closure
Type of Follower
Type of Cam
Type of Motion Constraints
Type of Motion Program
S V A J Diagrams
Double-Dwell Cam Design--Choosing S V A J Functions
The Fundamental Law of Cam Design
Simple Harmonic Motion (SHM)
Cycloidal Displacement
Combined Functions
Single-Dwell Cam Design--Choosing S V A J Functions
Polynomial Functions
Double-Dwell Applications of Polynomials
Single-Dwell Applications of Polynomials
Critical Path Motion (CPM)
Polynomials Used for Critical Path Motion
Half-Period Harmonic Family Functions
Sizing the Cam--Pressure Angle and Radius of Curvature
Pressure Angle--Roller Followers
Choosing a Prime Circle Radius
Overturning Moment--Flat-Faced Follower
Radius of Curvature--Roller Follower
Radius of Curvature--Flat-Faced Follower
Cam Manufacturing Considerations
Geometric Generation
Manual or NC Machining to Cam Coordinates (Plunge-Cutting)
Continuous Numerical Control with Linear Interpolation
Continuous Numerical Control with Circular Interpolation
Analog Duplication
Actual Cam Performance Compared to Theoretical Performance
Practical Design Considerations
Translating or Oscillating Follower?
Force- or Form-Closed?
Radial or Axial Cam?
Roller or Flat-Faced Follower?
To Dwell or Not to Dwell?
To Grind or Not to Grind?
To Lubricate or Not to Lubricate?
References
Problems
Projects
Gear Trains
Introduction
Rolling Cylinders
The Fundamental Law of Gearing
The Involute Tooth Form
Pressure Angle
Changing Center Distance
Backlash
Gear Tooth Nomenclature
Interference and Undercutting
Unequal-Addendum Tooth Forms
Contact Ratio
Gear Types
Spur, Helical, and Herringbone Gears
Worms and Worm Gears
Rack and Pinion
Bevel and Hypoid Gears
Noncircular Gears
Belt and Chain Drives
Simple Gear Trains
Compound Gear Trains
Design of Compound Trains
Design of Reverted Compound Trains
An Algorithm for the Design of Compound Gear Trains
Epicyclic or Planetary Gear Trains
The Tabular Method
The Formula Method
Efficiency of Gear Trains
Transmissions
Differentials
References
Problems
Dynamics of Machinery
Dynamics Fundamentals
Introduction
Newton's Laws of Motion
Dynamic Models
Mass
Mass Moment and Center of Gravity
Mass Moment of Inertia (Second Moment of Mass)
Parallel Axis Theorem (Transfer Theorem)
Radius of Gyration
Center of Percussion
Lumped Parameter Dynamic Models
Spring Constant
Damping
Equivalent Systems
Combining Dampers
Combining Springs
Combining Masses
Lever and Gear Ratios
Solution Methods
The Principle of d'Alembert
Energy Methods--Virtual Work
References
Problems
Dynamic Force Analysis
Introduction
Newtonian Solution Method
Single Link in Pure Rotation
Force Analysis of a Threebar Crank-Slide Linkage
Force Analysis of a Fourbar Linkage
Force Analysis of a Fourbar Slider-Crank Linkage
Force Analysis of the Inverted Slider-Crank
Force Analysis--Linkages with More Than Four Bars
Shaking Forces and Shaking Torque
Program Fourbar
Linkage Force Analysis by Energy Methods
Controlling Input Torque--Flywheels
A Linkage Force Transmission Index
Practical Considerations
References
Problems
Projects
Balancing
Introduction
Static Balance
Dynamic Balance
Balancing Linkages
Complete Force Balance of Linkages
Effect of Balancing on Shaking and Pin Forces
Effect of Balancing on Input Torque
Balancing the Shaking Moment in Linkages
Measuring and Correcting Imbalance
References
Problems
Engine Dynamics
Introduction
Engine Design
Slider-Crank Kinematics
Gas Force and Gas Torque
Equivalent Masses
Inertia and Shaking Forces
Inertia and Shaking Torques
Total Engine Torque
Flywheels
Pin Forces in the Single-Cylinder Engine
Balancing the Single-Cylinder Engine
Design Trade-offs and Ratios
Conrod/Crank Ratio
Bore/Stroke Ratio
Materials
Bibliography
Problems
Projects
Multicylinder Engines
Introduction
Multicylinder Engine Designs
The Crank Phase Diagram
Shaking Forces in Inline Engines
Inertia Torque in Inline Engines
Shaking Moment in Inline Engines
Even Firing
Two-Stroke Cycle Engine
Four-Stroke Cycle Engine
Vee Engine Configurations
Opposed Engine Configurations
Balancing Multicylinder Engines
Secondary Balance in the Four-Cylinder Inline Engine
References
Bibliography
Problems
Projects
Cam Dynamics
Introduction
Dynamic Force Analysis of the Force-Closed Cam Follower
Undamped Response
Damped Response
Resonance
Kinetostatic Force Analysis of the Force-Closed Cam-Follower
Kinetostatic Force Analysis of the Form-Closed Cam-Follower
Camshaft Torque
Measuring Dynamic Forces and Accelerations
Practical Considerations
References
Bibliography
Problems
Engineering Design
Introduction
A Design Case Study
Closure
References
Computer Programs
Introduction
General Information
General Program Operation
Program Fourbar
Program Fivebar
Program Sixbar
Program Slider
Program Dynacam
Program Engine
Program Matrix
Material Properties
Geometric Properties
Spring Data
Atlas of Geared Fivebar Linkage Coupler Curves
Answers to Selected Problems
Index
CD-ROM Index