1st Edition

Nonlinear Problems in Machine Design

By Eliahu Zahavi, David M. Barlam Copyright 2000
    434 Pages 100 B/W Illustrations
    by CRC Press

    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.

    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

    Biography

    Eliahu Zahavi, David M. Barlam