Class Notes - Mechanical Vibrations
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Item Notes 15. Identification of parameters in mechanical systems(2008) San Andres, LuisItem Notes 14. Dynamic response of continuum systems(2008) San Andres, LuisItem Notes 13. Numerical methods for the dynamic response of MDOF damped systems(2008) San Andres, LuisItem Notes 12. Finite element modeling of mechanical systems(2008) San Andres, LuisItem Notes 11. Modal Analysis of MDOF Systems with Viscous Damping(2008) San Andres, LuisItem Notes 10. The dynamic vibration absorber(2008) San Andres, LuisItem Notes 09. Numerical evaluation of natural modes and frequencies(2008) San Andres, LuisItem Notes 08. Modal Analysis of MDOF systems with Proportional Damping.(2008) San Andres, LuisItem Notes 07. Undamped Modal Analysis of MDOF systems(2008) San Andres, LuisFree & Force Vibrations of undamped MDOF systems. Orthogonality properties of natural modes. Rayleigh energy methods. Mode superposition (displacement and acceleration methods)Item Notes 06. Numerical solution of EOM for a single degree of freedom (SDOF) system(2008) San Andres, LuisItem Notes 04. Elements of analytical dynamics.(2008) San Andres, LuisWork and Energy – Single particle. Constraints – degrees of freedom. Principle of virtual work. D’Alembert Principle. Hamilton Principle. Lagrange’s equations of motion.Item Notes 02. Dynamic response of second order mechanical systems(2008) San Andres, LuisItem Notes 01. Modeling of mechanical (lumped parameter) elements(2008) San Andres, LuisFundamental elements in mechanical systems: inertias, stiffness and damping elements. Equivalent spring coefficients and associated potential energy. Equivalent mass or inertia coefficients and associated kinetic energy. Equations of motion of a rigid body in a plane. Equivalent damping coefficients and associated dissipation energy. Types of damping models (linear or viscous and nonlinear).Item Notes 00. Introduction to the analysis of vibrations in mechanical systems.(2008) San Andres, LuisIntroduction to motion in mechanical systems. Definition of design, analysis, and testing. Steps in Modeling. Continuous and lumped parameter systems. Second Order Systems and differential equations of motion. Definitions of Free and Forced Responses. The purpose of analysis and the relevant issues to resolve.