Mechanical Vibration: Where Do We Stand?

Basic Equations of the Linearized Theory of Elasticity: A Brief Review (E. Viola).-Dynamical Analysis of Spherical Structural Elements and Using the First-Order Shear Deformation Theory (E. Viola, F. Tornabene).-A Comparison of Two Dimensional Structural Theories for Isotropic Plates (E. Viola, F. Daghia).-Thickness Effect on the Dynamic Behavior of Three Dimensional Plates by Using the Ritz Method (E. Viola, C. Gentilini).-Exact Analysis of Wave Motions in Rods and Hollow Cylinders (E. Viola, A. Marzani).-Semi-Analytical Formulation for Guided Wave Propagation (E. Viola, A. Marzani, I. Bartoli).-Numerical Evaluation of Semi-Analytical Finite Element (SAFE) Method for Plates, Rods and Hollow Cylinders (E. Viola, A. Marzani, I. Bartoli).-Smart Materials and Structures (D. Inman).-Applications of Smart Materials for Vibration Suppression (D. Inman).-Basics of Control for Vibration Suppression (D. Inman).-Smart Materials in Structural Health Monitoring (D. Inman, B. L. Grisso, H. A. Sodano).-Vibration Mechanics: A General Approach to Solving Nonlinear Problems (I. I. Blekhman).-Linearization Techniques in Stochastic Dynamic Systems (L. Socha).-Models, Verification, Validation, Identification and Stochastic Eigenvalue Problems (S. Adhikari).-Vibration of Beams and Plates: Review of First Closed-Form Solutions in the Past 250 Years (I. Elishakoff).-Closed-Form Trigonometric Solution of Inhomogeneous Beam-Columns 1: Buckling Problem (I. Caliò, I. Elishakoff).-Closed-Form Trigonometric Solution of Inhomogeneous Beam-Columns 2: Vibration Problem (I. Elishakoff, I. Caliò).

Isaac Elishakoff, Florida Atlantic University, Boca Raton, USA