Complicated problems in nonlinear mechanics pose a challenge - many cannot be solved with existing closed-form methods. You would probably like easier methods for obtaining analytical and numerically exact solutions for finite elements, updated or total Lagrangian formulation, and arc-length methods of nonlinear elastic problem solving. Nonlinear Mechanics, Second Edition gives you what you want - convenient methods of analysis and valuable data for comparison.
This is the only book to offer a comprehensive treatment of structural components with variable thickness and a variable modulus of elasticity. It is also the only one to cover closed-form solutions for the dynamic and inelastic analysis of members and plates that are subjected to small and large deformations by including axial and vertical restraints. The author uses exact and approximate solutions for static, dynamic, and inelastic analysis. It also discusses aspects of nonlinear vibration of elastically supported beams, nonlinear response of nonuniform rotor blades, and a new concept of airfoil design.
With more than 30% updated and new material, this edition is revised and reorganized to meet the needs of both academia and industry. Easy-to-follow equation derivations, example problems, step-by-step procedures, and iterative approaches create a thorough reference that fills present needs and equips you for the challenges of the future.
Table of Contents
Introduction to Nonlinear Mechanics
Statically Determinate and Statically Indeterminate Flexible Bars of Uniform and Variable Thickness
Inelastic Analysis of Uniform and Variable Thickness Members Subjected to Small Deformations
Inelastic Analysis of Flexible Bars of Uniform and Variable Stiffness Members with and without Axial Restraints
Vibration Theory and Analysis of Flexible Members
Elastic and Inelastic Analysis of Uniform and Variable Thickness Plates
Hysteretic Models and Analysis of Uniform and Variable Stiffness Members under Cyclic Loading
Nonlinear Vibration and Instabilities of Elastically Supported Beams
Dynamic Response of Nonuniform Rotor Blades and Development of New Airfoil Design with Improved Aerodynamic Characteristics
"…a worthy addition to the technical literature."
- International Journal of Fracture, 53, R15, 1992
"…very well done, the writing is clear, and there are many illustrations that help clarify the text."
- Appl. Mech. Rev., 46, 89, 1993