Machines and Mechanisms Applied Kinematic Analysis 4th Edition by David Myszka 0132157802 9780132157803

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ISBN 10: 0132157802

ISBN 13: 9780132157803

Author: David Myszka

This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. This up-to-date introduction to kinematic analysis ensures relevance by using actual machines and mechanisms throughout. MACHINES & MECHANISMS, 4/e provides the techniques necessary to study the motion of machines while emphasizing the application of kinematic theories to real-world problems. State-of-the-art techniques and tools are utilized, and analytical techniques are presented without complex mathematics. Reflecting instructor and student feedback, this Fourth Edition’s extensive improvements include: a new section introducing special-purpose mechanisms; expanded descriptions of kinematic properties; clearer identification of vector quantities through standard boldface notation; new timing charts; analytical synthesis methods; and more. All end-of-chapter problems have been reviewed, and many new problems have been added.

Machines and Mechanisms Applied Kinematic Analysis 4th Table of contents:

Chapter One Introduction to Mechanisms and Kinematics

Objectives

1.1 Introduction

1.2 Machines and Mechanisms

1.3 Kinematics

1.4 Mechanism Terminology

1.5 Kinematic Diagrams

Solution:

Solution:

1.6 Kinematic Inversion

1.7 Mobility

1.7.1 Gruebler’s Equation

Solution:

Solution:

Solution:

1.7.2 Actuators and Drivers

Solution:

1.8 Commonly Used Links and Joints

1.8.1 Eccentric Crank

1.8.2 Pin-in-a-Slot Joint

1.8.3 Screw Joint

Solution:

1.9 Special Cases of the Mobility Equation

1.9.1 Coincident Joints

Solution:

1.9.2 Exceptions to the Gruebler’s Equation

1.9.3 Idle Degrees of Freedom

1.10 The Four-Bar Mechanism

1.10.1 Grashof’s Criterion

1.10.2 Double Crank

1.10.3 Crank-Rocker

1.10.4 Double Rocker

1.10.5 Change Point Mechanism

1.10.6 Triple Rocker

Solution:

1.11 Slider-Crank Mechanism

1.12 Special Purpose Mechanisms

1.12.1 Straight-Line Mechanisms

1.12.2 Parallelogram Mechanisms

1.12.3 Quick-Return Mechanisms

1.12.4 Scotch Yoke Mechanism

1.13 Techniques of Mechanism Analysis

1.13.1 Traditional Drafting Techniques

1.13.2 CAD Systems

1.13.3 Analytical Techniques

1.13.4 Computer Methods

Problems

Problems in Sketching Kinematic Diagrams

Problems in Calculating Mobility

Problems in Classifying Four-Bar Mechanisms

Chapter Two Building Computer Models of Mechanisms Using Working Model® Software

Objectives

2.1 Introduction

2.2 Computer Simulation of Mechanisms

2.3 Obtaining Working Model Software

2.4 Using Working Model to Model a Four-Bar Mechanism

2.5 Using Working Model To Model a Slider-Crank Mechanism

Problems

Chapter Three Vectors

Objectives

3.1 Introduction

3.2 Scalars and Vectors

3.3 Graphical Vector Analysis

3.4 Drafting Techniques Required in Graphical Vector Analysis

3.5 Cad Knowledge Required in Graphical Vector Analysis

3.6 Trigonometry Required in Analytical Vector Analysis

3.6.1 Right Triangle

Solution:

Solution:

3.6.2 Oblique Triangle

Solution:

Solution:

3.7 Vector Manipulation

3.8 Graphical Vector Addition (+>)

Solution:

Solution:

3.9 Analytical Vector Addition (+>): Triangle Method

Solution:

3.10 Components of A Vector

Solution:

3.11 Analytical Vector Addition (+>): Component Method

Solution:

3.12 Vector Subtraction (−>)

3.13 Graphical Vector Subtraction (−>)

Solution:

Solution:

3.14 Analytical Vector Subtraction (−>): Triangle Method

Solution:

3.15 Analytical Vector Subtraction (−>): Component Method

Solution:

3.16 Vector Equations

Solution:

Solution:

3.17 Application of Vector Equations

3.18 Graphical Determination of Vector Magnitudes

Solution:

3.19 Analytical Determination of Vector Magnitudes

Solution:

Problems

Working with Triangles

Graphical Vector Addition

Analytical Vector Addition

Graphical Vector Subtraction

Analytical Vector Subtraction

General Vector Equations (Graphical)

Solving for Vector Magnitudes (Graphical)

Solving for Vector Magnitudes (Analytical)

Chapter Four Position and Displacement Analysis

Objectives

4.1 Introduction

4.2 Position

4.2.1 Position of a Point

4.2.2 Angular Position of a Link

4.2.3 Position of a Mechanism

4.3 Displacement

4.3.1 Linear Displacement

4.3.2 Angular Displacement

4.4 Displacement Analysis

4.5 Displacement: Graphical Analysis

4.5.1 Displacement of a Single Driving Link

4.5.2 Displacement of the Remaining Slave Links

Solution:

Solution:

4.6 Position: Analytical Analysis

Solution:

4.6.1 Closed-Form Position Analysis Equations for an In-Line Slider-Crank

Solution:

4.6.2 Closed-Form Position Analysis Equations for an Offset Slider-Crank

Solution:

4.6.3 Closed-Form Position Equations for a Four-Bar Linkage

4.6.4 Circuits of a Four-Bar Linkage

4.7 Limiting Positions: Graphical Analysis

Solution:

Solution:

4.8 Limiting Positions: Analytical Analysis

Solution:

4.9 Transmission Angle

4.10 Complete Cycle: Graphical Position Analysis

Solution:

4.11 Complete Cycle: Analytical Position Analysis

Solution:

4.12 Displacement Diagrams

Solution:

4.13 Coupler Curves

Problems

General Displacement

Graphical Displacement Analysis

Analytical Displacement Analysis

Limiting Positions—Graphical

Limiting Positions—Analytical

Displacement Diagrams—Graphical

Displacement Diagrams—Analytical

Displacement Problems Using Working Model

Chapter Five Mechanism Design

Objectives

5.1 Introduction

5.2 Time Ratio

Solution:

5.3 Timing Charts

Solution:

5.4 Design of Slider-Crank Mechanisms

5.4.1 In-Line Slider-Crank Mechanism

5.4.2 Offset Slider-Crank Mechanism

5.5 Design of Crank-Rocker Mechanisms

5.6 Design of Crank-Shaper Mechanisms

5.7 Mechanism to Move a Link Between Two Positions

5.7.1 Two-Position Synthesis with a Pivoting Link

5.7.2 Two-Position Synthesis of the Coupler of a Four-Bar Mechanism

5.8 Mechanism to Move a Link Between Three Positions

5.9 Circuit and Branch Defects

Problems

Time Ratio Calculations

Timing Charts

Design of Slider-Crank Mechanisms

Design of Crank-Rocker Mechanisms

Design of Crank-Shaper Mechanisms

Two-Position Synthesis, Single Pivot

Two-Position Synthesis, Two Pivots

Three-Position Synthesis

Chapter Six Velocity Analysis

Objectives

6.1 Introduction

6.2 Linear Velocity

6.2.1 Linear Velocity of Rectilinear Points

Solution:

6.2.2 Linear Velocity of a General Point

6.2.3 Velocity Profile for Linear Motion

Solution:

6.3 Velocity of a Link

Solution:

6.4 Relationship Between Linear and Angular Velocities

solution:

6.5 Relative Velocity

Solution:

6.6 Graphical Velocity Analysis: Relative Velocity Method

6.6.1 Points on Links Limited to Pure Rotation or Rectilinear Translation

Solution:

6.6.2 General Points on a Floating Link

Solution:

6.6.3 Coincident Points on Different Links

Solution:

6.7 Velocity Image

6.8 Analytical Velocity Analysis: Relative Velocity Method

Solution:

Solution:

6.9 Algebraic Solutions for Common Mechanisms

6.9.1 Slider-Crank Mechanism

6.9.2 Four-Bar Mechanism

6.10 Instantaneous Center of Rotation

6.11 Locating Instant Centers

6.11.1 Primary Centers

Solution:

6.11.2 Kennedy’s Theorem

6.11.3 Instant Center Diagram

Solution:

Solution:

6.12 Graphical Velocity Analysis: Instant Center Method

Solution:

Solution:

6.13 Analytical Velocity Analysis: Instant Center Method

Solution:

6.14 Velocity Curves

Solution:

6.14.1 Graphical Differentiation

Solution:

6.14.2 Numerical Differentiation

solution:

Problems

General Velocity

Relative Velocity

Relative Velocity Method—Graphical

Relative Velocity Method—Analytical

Locating Instantaneous Centers—Graphically

Locating Instantaneous Centers—Analytically

Instantaneous Center Method—Graphical

Instantaneous Center Method—Analytical

Velocity Curves––Graphical

Velocity Curves—Analytical

Velocity Using Working Model

Chapter Seven Acceleration Analysis

Objectives

7.1 Introduction

7.2 Linear Acceleration

7.2.1 Linear Acceleration of Rectilinear Points

7.2.2 Constant Rectilinear Acceleration

Solution:

7.2.3 Acceleration and the Velocity Profile

Solution:

7.2.4 Linear Acceleration of a General Point

7.3 Acceleration of a Link

7.3.1 Angular Acceleration

7.3.2 Constant Angular Acceleration

Solution:

7.4 Normal and Tangential Acceleration

7.4.1 Tangential Acceleration

7.4.2 Normal Acceleration

7.4.3 Total Acceleration

Solution:

7.5 Relative Motion

7.5.1 Relative Acceleration

Solution:

7.5.2 Components of Relative Acceleration

Solution:

7.6 Relative Acceleration Analysis: Graphical Method

Solution:

Solution:

7.7 Relative Acceleration Analysis: Analytical Method

Solution:

7.8 Algebraic Solutions for Common Mechanisms

7.8.1 Slider-Crank Mechanism

7.8.2 Four-Bar Mechanism

7.9 Acceleration of a General Point on a Floating Link

Solution:

7.10 Acceleration image

7.11 Coriolis Acceleration

Solution:

7.12 Equivalent Linkages

7.13 Acceleration Curves

7.13.1 Graphical Differentiation

Solution:

7.13.2 Numerical Differentiation

Solution:

Problems

General Acceleration

Velocity Profiles

Normal and Tangential Acceleration

Relative Acceleration

Relative Acceleration Method—Graphical

Relative Acceleration Method—Analytical

Acceleration of Points on a Floating Link—Graphical

Acceleration of Points on a Floating Link—Analytical

Coriolis Acceleration

Linkage Acceleration with Coriolis—Graphical

Linkage Acceleration with Coriolis—Analytical

Acceleration Curves—Graphical

Acceleration Curves—Graphical

Acceleration Using Working Model

Chapter Eight Computer-Aided Mechanism Analysis

Objectives

8.1 Introduction

8.2 Spreadsheets

Solution:

8.3 User-Written Computer Programs

8.3.1 Offset Slider-Crank Mechanism

8.3.2 Four-Bar Mechanism

Problems

Chapter Nine Cams: Design and Kinematic Analysis

Objectives

9.1 Introduction

9.2 Types of Cams

9.3 Types of Followers

9.3.1 Follower Motion

9.3.2 Follower Position

9.3.3 Follower Shape

9.4 Prescribed Follower Motion

Solution:

9.5 Follower Motion Schemes

9.5.1 Constant Velocity

9.5.2 Constant Acceleration

9.5.3 Harmonic Motion

9.5.4 Cycloidal Motion

Solution:

Solution:

9.5.5 Combined Motion Schemes

Trapezoidal Acceleration

Modified Trapezoidal Acceleration

3 3-4-5 Polynomial Displacement

4 4-5-6-7 Polynomial Displacement

Modified Sinusoidal Acceleration

9.6 Graphical Disk Cam Profile Design

9.6.1 In-Line Knife-Edge Follower

9.6.2 In-Line Roller Follower

9.6.3 Offset Roller Follower

9.6.4 Translating Flat-Faced Follower

9.6.5 Pivoted Roller Follower

9.7 Pressure Angle

9.8 Design Limitations

9.9 Analytical Disk cam Profile Design

9.9.1 Knife-Edge Follower

Solution:

9.9.2 In-Line Roller Follower

Solution:

9.9.3 Offset Roller Follower

9.9.4 Translating Flat-Faced Follower

9.9.5 Pivoted Roller Follower

9.10 Cylindrical Cams

9.10.1 Graphical Cylindrical Cam Profile Design

9.10.2 Analytical Cylindrical Cam Profile Design

9.11 The Geneva Mechanism

Solution:

Problems

Graphical Displacement Diagrams

Analytical Displacement Diagram

Analytical Motion Curves

Graphical Plate Cam Profile Design

Analytical Plate Cam Profile Design

Graphical Cylindrical Cam Design

Analytical Cylindrical Cam Design

Geneva Mechanism Problems

Chapter Ten Gears: Kinematic Analysis and Selection

Objectives

10.1 Introduction

10.2 Types of Gears

10.3 Spur Gear Terminology

10.4 Involute Tooth Profiles

Solution:

10.5 Standard Gears

Solution:

10.6 Relationships of Gears in Mesh

10.6.1 Center Distance

Solution:

10.6.2 Contact Ratio

Solution:

10.6.3 Interference

Solution:

10.6.4 Undercutting

10.6.5 Backlash

Solution:

10.6.6 Operating Pressure Angle

Solution:

10.7 Spur Gear Kinematics

Solution:

10.8 Spur Gear Selection

10.8.1 Diametral Pitch

Solution:

10.8.2 Pressure Angle

10.8.3 Number of Teeth

Solution:

Solution:

Solution:

10.9 Rack and Pinion Kinematics

Solution:

Solution:

10.10 Helical Gear Kinematics

Solution:

10.11 Bevel Gear Kinematics

Solution:

10.12 Worm Gear Kinematics

Solution:

10.13 Gear Trains

Solution:

Solution:

10.14 Idler Gears

10.15 Planetary Gear Trains

10.15.1 Planetary Gear Analysis by Superposition

Solution:

Solution:

10.15.2 Planetary Gear Analysis by Equation

Solution:

Solution:

Problems

Spur Gear Geometry

Gear Kinematics

Gear Selection with an Established Center Distance

Gear Selection with a Set Center Distance

Catalog Gear Selection

Rack and Pinion

Helical Gears

Bevel Gears

Worm Gears

Gear Trains

Gear Train Design

Gear-Driven Mechanisms

Planetary Gear Trains

Chapter Eleven Belt and Chain Drives

Objectives

11.1 Introduction

11.2 Belts

11.3 Belt Drive Geometry

11.4 Belt Drive Kinematics

Solution:

Solution:

11.5 Chains

11.5.1 Types of Chains

11.5.2 Chain Pitch

11.5.3 Multistrand Chains

11.5.4 Sprockets

11.6 Chain Drive Geometry

11.7 Chain Drive Kinematics

Solution:

Problems

Belt Kinematics

Belt Drive Geometry

Belt Drive Selection

Chain Kinematics

Chain Drive Geometry

Chain Drive Selection

Chapter Twelve Screw Mechanisms

Objectives

12.1 Introduction

12.2 Thread Features

12.3 Thread Forms

12.3.1 Unified Threads

12.3.2 Metric Threads

12.3.3 Square Threads

12.3.4 ACME Threads

12.4 Ball Screws

12.5 Lead

12.6 Screw Kinematics

Solution:

Solution:

12.7 Screw Forces and Torques

Solution:

12.8 Differential Screws

Solution:

12.9 Auger Screws

Problems

Screw Thread Geometry

Screw-Driven Displacement

Screw-Driven Velocity

Screw-Driven Acceleration

Screw Force and Torque

Differential Screws

Chapter Thirteen Static Force Analysis

Objectives

13.1 Introduction

13.2 Forces

13.3 Moments and Torques

Solution:

Alternative Solution:

13.4 Laws of Motion

13.5 Free-Body Diagrams

13.5.1 Drawing a Free-Body Diagram

13.5.2 Characterizing Contact Forces

Solution:

13.6 Static Equilibrium

13.7 Analysis of a Two-Force Member

Solution:

Solution:

13.8 Sliding Friction Force

Solution:

Problems

Resultant Force

Moment of a Force

Static Machine Forces

Chapter Fourteen Dynamic Force Analysis

Objectives

14.1 Introduction

14.2 Mass and Weight

14.3 Center of Gravity

Solution:

14.4 Mass Moment of Inertia

14.4.1 Mass Moment of Inertia of Basic Shapes

Solution:

14.4.2 Radius of Gyration

14.4.3 Parallel Axis Theorem

Solution:

14.4.4 Composite Bodies

Solution:

14.4.5 Mass Moment of Inertia—Experimental Determination

14.5 Inertial Force

Solution:

14.6 Inertial Torque

Solution:

Problems

Mass and Mass Moment of Inertia

Inertial Forces

Inertial Torques

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