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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
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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