Mechanism Design: Enumeration of Kinematic Structures According to Function, 1st Edition (Hardback) book cover

Mechanism Design

Enumeration of Kinematic Structures According to Function, 1st Edition

By Lung-Wen Tsai

CRC Press

328 pages | 193 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9780849309014
pub: 2000-09-19
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Description

Traditionally, mechanisms are created by designer's intuition, ingenuity, and experience. However, such an ad hoc approach cannot ensure the identification of all possible design alternatives, nor does it necessarily lead to optimum design. Mechanism Design: Enumeration of Kinematic Structures According to Function introduces a methodology for systematic creation and classification of mechanisms.

With a partly analytical and partly algorithmic approach, the author uses graph theory, combinatorial analysis, and computer algorithms to create kinematic structures of the same nature in a systematic and unbiased manner. He sketches mechanism structures, evaluating them with respect to the remaining functional requirements, and provides numerous atlases of mechanisms that can be used as a source of ideas for mechanism and machine design.

He bases the book on the idea that some of the functional requirements of a desired mechanism can be transformed into structural characteristics that can be used for the enumeration of mechanisms. The most difficult problem most mechanical designers face at the conceptual design phase is the creation of design alternatives. Mechanism Design: Enumeration of Kinematic Structures According to Function presents you with a methodology that is not available in any other resource.

Reviews

"…The topics covered in the book have wide applications in modern engineering technology."

-Frank Kreith

Editor of the CRC Mechanical Engineering Series

topics covered in the book have wide applications in modern engineering technology."

-Frank Kreith

Editor of the CRC Mechanical Engineering Series

Table of Contents

INTRODUCTION

A Systematic Design Methodology

Links and Joints

Kinematic Chains, Mechanisms, and Machines

Kinematics of Mechanisms

Planar, Spherical, and Spatial Mechanisms

Kinematic Inversions

BASIC CONCEPT OF GRAPH THEORY

Definitions

Tree

Planar Graph

Spanning Trees and Fundamental Circuits

Euler's Equation

Topological Characteristics of Planar Graphs

Matrix Representation of Graphs

Contracted Graphs

Dual Graphs

STRUCTURAL REPRESENTATIONS OF MECHANISMS

Functional Schematic Representation

Structural Representation

Graph Representation

Matrix Representation

STRUCTURAL ANALYSIS OF MECHANISMS

Correspondence between Mechanisms and Graphs

Degrees of Freedom

Loop Mobility Criterion

Lower and Upper Bounds on the Number of Joints on a Link

Link Assortments

Partition of Binary Link Chains

Structural Isomorphism

Permutation Group and Group of Automorphisms

Identification of Structural Isomorphism

Partially Locked Kinematic Chains

ENUMERATION OF GRAPHS OF KINEMATIC CHAINS

Enumeration of Contracted Graphs

Enumeration of Conventional Graphs

Atlas of Graphs of Kinematic Chains

CLASSIFICATION OF MECHANISMS

Planar Mechanisms

Spherical Mechanisms

Spatial Mechanisms

EPICYCLIC GEAR TRAINS

Structural Characteristics

Buchsbaum-Freudenstein Method

Genetic Graph Approach

Parent Bar Linkage Method

Mechanism Pseudo Isomorphisms

Atlas of Epicyclic Gear Trains

Kinematics of Epicyclic Gear Trains

AUTOMOTIVE MECHANISMS

Variable-Stroke Engine Mechanisms

Constant-Velocity Shaft Couplings

Automatic Transmission Mechanisms

Canonical Graph Representation of EGMs

Atlas of Epicyclic Gear Transmission Mechanisms

ROBOTIC MECHANISMS

Parallel Manipulators

Robotic Wrist Mechanisms

APPENDICES:

A. Solving m Equations in n unknowns

B. Atlas of Contracted Graphs

C. Atlas of Graphs of Kinematic Chains

D. Atlas of Planar Bar Linkages

E. Atlas of Spatial One-dof Kinematic Chains

F. Atlas of Epicyclic Gear Trains

G. Atlas of Epicyclic Gear Transmission Mechanisms

NOTE: Introduction at the beginning of Chapters 1,3-9; Summary at the end of Chapters 1-6,8-9

About the Series

Mechanical and Aerospace Engineering Series

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Subject Categories

BISAC Subject Codes/Headings:
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical
TEC016000
TECHNOLOGY & ENGINEERING / Industrial Design / General