Book excerpt: 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. - 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