Classical and modern approaches in the theory of mechanisms / Professor Nicolae Pandrea, University of Pitesti, Arges, Romania, Prof Dinel Popa, University of Pitesti, Arges, Romania, Nicolae-Doru Stanescu, University of Pitesti, Arges, Romania.

Format:

Book

Author/Creator:

Pandrea, Nicolae, author.

Popa, Dinel, 1958- author.

Stănescu, Nicolae-Doru, author.

Language:

English

Subjects (All):

Mechanical movements.

Machine parts.

Physical Description:

1 online resource (442 pages)

Edition:

1st ed.

Place of Publication:

Hoboken, New Jersey ; Chichester, West Sussex, England : Wiley, 2017.

Summary:

Classical and Modern Approaches in the Theory of Mechanisms is a study of mechanisms in the broadest sense, covering the theoretical background of mechanisms, their structures and components, the planar and spatial analysis of mechanisms, motion transmission, and technical approaches to kinematics, mechanical systems, and machine dynamics. In addition to classical approaches, the book presents two new methods: the analytic-assisted method using Turbo Pascal calculation programs, and the graphic-assisted method, outlining the steps required for the development of graphic constructions using AutoCAD; the applications of these methods are illustrated with examples. Aimed at students of mechanical engineering, and engineers designing and developing mechanisms in their own fields, this book provides a useful overview of classical theories, and modern approaches to the practical and creative application of mechanisms, in seeking solutions to increasingly complex problems.

Contents:

Cover

Title Page

Copyright

Contents

Preface

About the Companion Website

Chapter 1 The Structure of Mechanisms

1.1 Kinematic Elements

1.2 Kinematic Pairs

1.3 Kinematic Chains

1.4 Mobility of Mechanisms

1.4.1 Definitions

1.4.2 Mobility Degree of Mechanisms without Common Constraints

1.4.3 Mobility Degree of Mechanisms with Common Constraints

1.4.4 Mobility of a Mechanism Written with the Aid of the Number of Loops

1.4.5 Families of Mechanisms

1.4.6 Actuation of Mechanisms

1.4.7 Passive Elements

1.4.8 Passive Kinematic Pairs

1.4.9 Redundant Degree of Mobility

1.4.10 Multiple Kinematic Pairs

1.5 Fundamental Kinematic Chains

1.6 Multi-pairs (Poly-pairs)

1.7 Modular Groups

1.8 Formation and Decomposition of Planar Mechanisms

1.9 Multi-poles and Multi-polar Schemata

1.10 Classification of Mechanisms

Chapter 2 Kinematic Analysis of Planar Mechanisms with Bars

2.1 General Aspects

2.2 Kinematic Relations

2.2.1 Plane-parallel Motion

2.2.2 Relative Motion

2.3 Methods for Kinematic Analysis

2.3.1 The Grapho-analytical Method

2.3.2 The Method of Projections

2.3.3 The Newton

Raphson Method

2.3.4 Determination of Velocities and Accelerations using the Finite Differences Method

2.4 Kinematic Analysis of the RRR Dyad

2.4.1 The Grapho-analytical Method

2.4.2 The Analytical Method

2.4.3 The Assisted Analytical Method

2.4.4 The Assisted Graphical Method

2.5 Kinematic Analysis of the RRT Dyad

2.5.1 The Grapho-analytical Method

2.5.2 The Analytical Method

2.5.3 The Assisted Analytical Method

2.5.4 The Assisted Graphical Method

2.6 Kinematic Analysis of the RTR Dyad

2.6.1 The Grapho-analytical Method

2.6.2 The Analytical Method

2.6.3 The Assisted Analytical Method

2.6.4 The Assisted Graphical Method.

2.7 Kinematic Analysis of the TRT Dyad

2.7.1 The Grapho-analytical Method

2.7.2 The Analytical Method

2.7.3 The Assisted Analytical Method

2.7.4 The Assisted Graphical Method

2.8 Kinematic Analysis of the RTT Dyad

2.8.1 The Grapho-analytical Method

2.8.2 The Analytical Method

2.8.3 The Assisted Analytical Method

2.8.4 The Assisted Graphical Method

2.9 Kinematic Analysis of the 6R Triad

2.9.1 Formulation of the Problem

2.9.2 Determination of the Positions

2.9.3 Determination of the Velocities and Accelerations

2.9.4 The Assisted Analytical Method

2.9.5 The Assisted Graphical Method

2.10 Kinematic Analysis of Some Planar Mechanisms

2.10.1 Kinematic Analysis of the Four-Bar Mechanism

2.10.2 Kinematic Analysis of the Crank-shaft Mechanism

2.10.3 Kinematic Analysis of the Crank and Slotted Lever Mechanism

Chapter 3 Kinetostatics of Planar Mechanisms

3.1 General Aspects: Forces in Mechanisms

3.2 Forces of Inertia

3.2.1 The Torsor of the Inertial Forces

3.2.2 Concentration of Masses

3.3 Equilibration of the Rotors

3.3.1 Conditions of Equilibration

3.3.2 The Theorem of Equilibration

3.3.3 Machines for Dynamic Equilibration

3.4 Static Equilibration of Four-bar Mechanisms

3.4.1 Equilibration with Counterweights

3.4.2 Equilibration with Springs

3.5 Reactions in Frictionless Kinematic Pairs

3.5.1 General Aspects

3.5.2 Determination of the Reactions for the RRR Dyad

3.5.3 Determination of the Reactions for the RRT Dyad

3.5.4 Determination of the Reactions for the RTR Dyad

3.5.5 Determination of the Reactions for the TRT Dyad

3.5.6 Determination of the Reactions for the RTT Dyad

3.5.7 Determination of the Reactions at the Driving Element

3.5.8 Determination of the Equilibration Force (Moment) using the Virtual Velocity Principle.

3.6 Reactions in Kinematic Pairs with Friction

3.6.1 Friction Forces and Moments

3.6.2 Determination of the Reactions with Friction

3.7 Kinetostatic Analysis of some Planar Mechanisms

3.7.1 Kinetostatic Analysis of Four-bar Mechanism

3.7.2 Kinetostatic Analysis of Crank-shaft Mechanism

3.7.3 Kinetostatic Analysis of Crank and Slotted Lever Mechanism

Chapter 4 Dynamics of Machines

4.1 Dynamic Model: Reduction of Forces and Masses

4.1.1 Dynamic Model

4.1.2 Reduction of Forces

4.1.3 Reduction of Masses

4.2 Phases of Motion of a Machine

4.3 Efficiency of Machines

4.4 Mechanical Characteristics of Machines

4.5 Equation of Motion of a Machine

4.6 Integration of the Equation of Motion

4.6.1 General Case

4.6.2 The Regime Phase

4.7 Flywheels

4.7.1 Formulation of the Problem: Definitions

4.7.2 Approximate Calculation

4.7.3 Exact Calculation

4.8 Adjustment of Motion Regulators

4.9 Dynamics of Multi-mobile Machines

Chapter 5 Synthesis of Planar Mechanisms with Bars

5.1 Synthesis of Path-generating Four-bar Mechanism

5.1.1 Conditions for Existence of the Crank

5.1.2 Equation of the Coupler Curve

5.1.3 Triple Generation of the Coupler Curve

5.1.4 Analytic Synthesis

5.1.5 Mechanisms for which Coupler Curves Approximate Circular Arcs and Segments of Straight Lines

5.1.6 Method of Reduced Positions

5.2 Positional Synthesis

5.2.1 Formulation of the Problem

5.2.2 Poles of Finite Rotation

5.2.3 Bipositional Synthesis

5.2.4 Three-positional Synthesis

5.2.5 Four-positional Synthesis

5.2.6 Five-positional Synthesis

5.3 Function-generating Mechanisms

Chapter 6 Cam Mechanisms

6.1 Generalities. Classification

6.2 Analysis of Displacement of Follower

6.2.1 Formulation of the Problem

6.2.2 The Analytical Method

6.2.3 The Graphical Method.

6.2.4 Analysis of Displacement of Follower using AutoLisp

6.3 Analysis of Velocities and Accelerations

6.3.1 Analytical Method

6.3.2 Graphical Method: Graphical Derivation

6.4 Dynamical Analysis

6.4.1 Pre-load in the Spring

6.4.2 The Work of Friction

6.4.3 Pressure Angle, Transmission Angle

6.4.4 Determination of the Base Circle's Radius

6.5 Fundamental Laws of the Follower's Motion

6.5.1 General Aspects: Phases of Motion of the Follower

6.5.2 The Linear Law

6.5.3 The Parabolic Law

6.5.4 The Harmonic Law

6.5.5 The Polynomial Law: Polydyne Cams

6.6 Synthesis of Cam Mechanisms

6.6.1 Formulation of the Problem

6.6.2 The Equation of Synthesis

6.6.3 Synthesis of Mechanism with Rotational Cam and Translational Follower

6.6.4 Synthesis of Mechanism with Rotational Cam and Rotational Follower

6.6.5 Cam Synthesis using AutoLisp Functions

6.6.6 Examples

Chapter 7 Gear Mechanisms

7.1 General Aspects: Classifications

7.2 Relative Motion of Gears: Rolling Surfaces

7.3 Reciprocal Wrapped Surfaces

7.4 Fundamental Law of Toothing

7.5 Parallel Gears with Spur Teeth

7.5.1 Generalities. Notations

7.5.2 Determination of the Conjugate Profile and Toothing Curve

7.5.3 The Involute of a Circle

7.5.4 Involute Conjugate Profile and Toothing Line

7.5.5 The Main Dimensions of Involute Gears

7.5.6 Thickness of a Tooth on a Circle of Arbitrary Radius

7.5.7 Building-up of Gear Trains

7.5.8 The Contact Ratio

7.5.9 Interference of Generation

7.6 Parallel Gears with Inclined Teeth

7.6.1 Generation of the Flanks

7.6.2 The Equivalent Planar Gear

7.7 Conical Concurrent Gears with Spur Teeth

7.8 Crossing Gears

7.8.1 Helical Gears

7.8.2 Cylindrical Worm and Wheel Toothing

7.9 Generation of the Gears using a CAD Soft

7.9.1 Gear Tooth Manufacture.

7.9.2 Algorithm and AutoLisp Functions for Creating Gears from Solids

7.9.3 Generation of the Cylindrical Gears with Spur and Inclined Teeth

7.9.4 The Generation of the Cylindrical Gears with Curvilinear Teeth

7.9.5 The Generation of Conical Gears with Spur Teeth

7.10 Kinematics of Gear Mechanisms with Parallel Axes

7.10.1 Gear Mechanisms with Fixed Parallel Axes

7.10.2 The Willis Method

7.10.3 Planetary Gear Mechanisms with Four Elements

7.10.4 Planetary Gear Mechanisms with Six Mobile Elements

7.11 Kinematics of Mechanisms with Conical Gears

7.11.1 Planetary Transmission with Three Elements

7.11.2 Planetary Transmission with Four Elements

7.11.3 Automotive Differentials

Chapter 8 Spatial Mechanisms

8.1 Kinematics of Spatial Mechanisms: Generalities

8.1.1 Kinematics of the RSSR Mechanism

8.1.2 Kinematics of the RSST Mechanism

8.1.3 Spatial Mechanism Generating Oscillatory Motion

8.2 Hydrostatic Pumps with Axial Pistons

8.3 Cardan Transmissions

8.4 Tripod Transmissions

8.4.1 General Aspects

8.4.2 The C2-C Tripod Kinematic Pair

8.4.3 The C1-C Tripod Kinematic Pair

8.4.4 The S1-P Tripod Kinematic Pair

8.4.5 The S2-P Tripod Kinematic Pair

8.4.6 Simple Mechanisms with Tripod Joints

8.4.7 Tripod Joint Transmissions

8.5 Animation of the Mechanisms

8.5.1 The Need for an Animation

8.5.2 The Animation Algorithm

8.5.3 Positional Analysis

8.5.4 Modelling the Elements of a Mechanism

8.5.5 Creation of the Animation Frames

8.5.6 Creation of Animation File for the Mechanism

8.5.7 Conclusions

Chapter 9 Industrial Robots

9.1 General Aspects

9.2 Mechanical Systems of Industrial Robots

9.2.1 Structure

9.2.2 The Path-generating Mechanism

9.2.3 The Orientation Mechanism

9.2.4 The Grip Device

9.3 Actuation Systems of Industrial Robots.

9.3.1 Electrical Actuation.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-119-22176-5

1-119-22172-2

1-119-22177-3

OCLC:

967457471