Nonlinear Problems in Machine Design: 1st Edition (Hardback) book cover

Nonlinear Problems in Machine Design

1st Edition

By Eliahu Zahavi, David M. Barlam

CRC Press

440 pages | 100 B/W Illus.

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pub: 2000-12-28
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Description

Modern machine design challenges engineers with a myriad of nonlinear problems, among them fatigue, friction, plasticity, and excessive deformation. Today's advanced numerical computer programs bring optimal solutions to these complex problems within reach, but not without a trained and experienced overseer.

Nonlinear Problems in Machine Design provides that training and experience. It acquaints readers with the modern analytical methods of machine design and enables them to use those methods in daily applications. The authors first build the theoretical foundation, then focus on the application of the finite element method to machine design problems. They offer practical examples with solutions generated using both the ANSYS and MSC.NASTRAN finite element programs, demonstrating the reliability of the results, offering readers experience with the two most widely used programs in industry.

Developed through the authors' extensive knowledge of engineering theory and their experience in verifying the accuracy and applicability of computer generated solutions, this book helps ensure foolproof results when designing machine parts. Nonlinear Problems in Machine Design is unique in its focus, will prove equally valuable to students and practitioners, and appears destined to become a standard in its field.

Table of Contents

PART I: THEORETICAL FUNDAMENTALS

BASICS OF SOLID MECHANICS

Stress

Linear Strain

Stress-Strain Relationship

Variational Principles

Solution of the Boundary Value Problem

FINITE ELEMENT METHOD

Introduction to Finite Element Theory

Isoparametric Elements

Hierarchical Functions

Bending Elements: Beams and Plates

Accuracy of FE Solution

NONLINEAR PROBLEMS

Introduction

Example: Two-Spar Frame

Iterative Methods

PLASTICITY

One-Dimensional Theory

Yield Criteria for Multi-Axial Stresses

Constitutive Theories of Plasticity

Finite Element Implementation

LARGE DISPLACEMENTS

Tensor Analysis of a Deformed Body

Deformation and Strain

Stress

Constitutive Equations

Finite Element Implementation

CONTACT PROBLEMS

Introduction

Penalty Method

Lagrange Multiplier Method

Critical Review

FATIGUE-FAILURE PREDICTION METHODS

Strain Method

Cumulative Damage

Fracture Mechanics

PART II: DESIGN CASES

DESIGN OF MACHINE PARTS

Nonlinear Behavior of Machine Parts

Failure of Machine Parts under Static Load

Fatigue of Machine Parts under Fluctuating Load

LEAF SPRING

Introduction

Design Fundamentals

FE Analysis of Leaf-Spring

Conclusions

THREADED FASTENERS

Introduction

Forces in Bolt Connection

Stresses

Nonlinear Analysis using FE method

Stresses at Bolt Head

Conclusions

FLANGE CONNECTION

Introduction

One-Dimensional Analysis

FE Analysis

Conclusions

FRETTING FATIGUE IN AN AXLE

Introduction

Case Study: Axle Failure Due to Fretting

Design Improvement

Conclusions

APPENDIX A: Basics of Tensor Calculus

APPENDIX B: Basics OF Matrix Calculus

APPENDIX C: Tables

Note: Each chapter also includes references

Subject Categories

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