Energy Methods and Finite Element Techniques
Stress and Vibration Applications

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Language: English

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Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well.

Part 1: Energy Method 1. Fundamentals of Energy Methods 2. Direct Methods 3. Applications of Energy Methods to Plate Problems 4. Energy Methods in Vibrations

Part 2: Finite Element Method 5. Introduction to Finite Element Method: Bar and Beam Applications 6. Two-Dimensional Problems: Application of Plane Strain and Stress 7. Torsion Problem 8. Axisymmetric Elasticity Problems 9. Application to Three-dimensional Elasticity Problems 10. Application of F. E. to the Vibration Problems 11. Steady State Heat Conduction 12. Shape Functions Determinations and Numerical Integration 13. Higher-order Isoparametric Formulation 14. Finite Element Programs Structures

Muhsin J. Jweeg is a Prof. Dr. of applied mechanics. As a Chartered Engineer, he is a fellow of the Institution of Mechanical Engineers (U.K.) and currently the Vice-Chancellor of Scientific Affairs, Al-Farahidi University, Iraq. Before this position, he was a Dean of the College of Engineering – Al-Nahrain University for Oct 2006-Mar 2013. Prof. Jweeg published many journal papers and three books. He attended many international and national conferences and gained an international prize in India for the best-published paper in IMECH 1995 and many national awards. Several PhD and MSc students graduated under his supervision, most of them working in the field of energy and finite element applications.
Muhannad Al-Waily is Professor, Al-Kufa University. His research is focused on applied mechanics, vibration analysis, composite materials, crack analysis, and structural health monitoring. He has published dozens of peer-reviewed articles that have been cited by hundreds.
Kadhim Kamil Resan is Senior Lecturer, Al-Mustansiriyah University. He is a member of ISME and ISPO. His research specializes in design of devices, welding, biomaterials, stress relaxation, composite materials, mechanics of materials, fatigue, corrosion, and smart materials.
  • Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations
  • Outlines modified finite element techniques such as those with different classes of meshes and basic functions
  • Discusses statistical energy analysis and its vibration and acoustic applications