Advanced Mechanical Vibrations

1 A few preliminary fundamentals 2 Formulating the equations of motion 3 Finite DOFs systems: free vibration 4 Finite-DOFs systems: Response to external excitation 5 Vibrations of continuous systems 6 Random vibrations

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Discrete Parameters Systems;equations of motion;Non-linear Vibrations;Lagrange equations;Number Of DOFs;Hamilton's principle;Energy Dissipation Mechanisms;Fourier Analysis;Energy Density;Random vibrations;Simultaneous Ordinary Differential Equations;Courant's eigenvalues;Cantilever Free End;eigenvalue separation property;Local Stiffness;vibration isolation;Vibration Amplitudes;Laplace Analysis;Inertial Frame;operational modal analysis;Complex Notation;Linear vibrations;Internal Elastic Forces;Continuous systems;Equivalent Spring;Discrete systems;Small Physical Dimensions;Random excitation;Viscous Dampers;Advanced mechanical vibrations;Time Dependent Amplitude;Initial Phase Angle;Hold;Decibel Scale;Wide Band Signals;Stable Equilibrium Position;Complex Numbers;Complex Quantities