Response of wwe 12 psp game Single-Degree-of-Freedom Systems to Harmonic and Periodic Excitations.
Random Vibrations, ensemble Averages.
Graham Kelly (2007) Advanced Vibration Analysis, CRC Press, Taylor Francis Group, Boca Raton,.
Suggested Optional Texts:.Transfer Function / General System Response / Response by the State Transition Matrix / Discrete-Time Systems.Required Text: Leonard Meirovitch (2001) Fundamentals of Vibration, McGraw-Hill, New York.Motions in the Large / Limit Cycles.Coupling / Orthogonality of Modes.The Finite Element Method as a Rayleigh-Ritz Method / Strings, Rods and Shafts / Higher-Degree Interpolation Functions / Beams in Bending Vibration / Errors in the Eigenvalues / Finite Element Modeling of Trusses / Finite Element Modeling of Frames / System Response by the Finite.Ramp Response / Response to Arbitrary Excitations.Two-Degree-of-Freedom Systems, system Configuration / The Equations of Motion of Two-Degree-of-Freedom Systems / Free Vibration of Undamped Systems.Ergodic Random Processes / Mean Square Values and Standard Deviation / Probability Density Functions / Description of Random Data in Terms of Probability Density Functions / Properties of Autocorrelation Functions / Response to Arbitrary Excitations by Fourier Transforms / Power Spectral Density Functions / Narrowband.Course Syllabus: download this pdf file.Harmonic Oscillator / Viscously Damped Single-Degree-of-Freedom Systems.
Structural Damping / Response to Periodic Excitations.
Stationary Random Processes / Time Averages.
The Differential Eigenvalue Problem / Orthogonality of Modes.
Jump Phenomenon / Subharmonics and Combination Harmonics / Systems with Time-Dependent Coefficients.
For EB section: Westerly Middle School on Thursdays from 6:00-9:00.Natural Modes / Response to Initial Excitations / Coordinate Transformations.Response of Single-Degree-of-Freedom Systems to Initial Excitations.Mathieu's Equation / Numerical Integration of the Equations of Motion.Step Response / The Unit Ramp Function.Expansion Theorem / Systems with Lumped Masses at the Boundaries / Eigenvalue Problem and Expansion Theorem for Problems with Lumped Masses at the Boundaries / Rayleigh's"ent.The Variational Approch to the Differential Eigenvalue Problem / Response to Initial Excitation / Response to External Excitations / Systems with External Forces at Boundaries / The Wave Equation / Traveling Waves in Rods of Finite Length.The van der Pol Oscillator / The Fundamental Perturbation Technique / Secular Terms / Lindstedt's Method / Forced Oscillation of Quasi-Harmonic Systems.Experimental methods and design procedures.