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May 11, 2025
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MANE 4160 - Vibrations
Free and forced linear vibrations of damped and undamped mechanical and electrical systems of n degrees of freedom. Continuous system vibration. Manual and computer methods of finding natural frequencies, mode shapes, and final solutions. Self-and nonself-adjoint problems. Eigenfunction expansion. Integral transforms. Methods of approximating natural frequencies: Rayleigh quotient, Rayleigh Energy, Rayleigh-Ritz, Ritz-Galerkin, Holzer, Matrix iteration. Perturbation techniques. Stability criteria.
Prerequisites/Corequisites: Prerequisite: ENGR 2090 Engineering Dynamics and MATH 2400 Introduction to Differential Equations.
When Offered: Fall term annually.
Credit Hours: 3
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