Nonlinear Problems in Machine Design

ISBN-13: 9780849320378 / Angielski / Twarda / 2000 / 440 str.

Elias Zahavi; David Barlam; Eliahu Zahavi

Opis

Modern numerical developments have allowed tremendous advancement in the analysis of the nonlinearities inherent in machine design problems, with few more productive than the finite element method. This work seeks to meet a dual challenge: to reflect both the advances of the finite element method and to expand the theoretical scope of their applications to the design of machine elements. Technical applications of computational processes include the introduction of p-version elements, contact surface elements, and design optimization.

Spis treści

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

O autorze

Eliahu Zahavi, David M. Barlam