# Vibrations

## MANE-4160

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.

3 credits
Prereqs:
ENGR-2090 Engineering Dynamics
and
MATH-2400 Introduction to Differential Equations

# Past Term Data
Offered
Not Offered
Offered as Cross-Listing Only
No Term Data
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| Spring | Summer | Fall
--- | --- | --- | ---
| (Session 1) | (Session 2) |
2023 |  |  | Vibrations (3c) Karthikeyan Panneerselvam Seats Taken: 12/50
2022 |  |  | Vibrations (3c) Karthikeyan Panneerselvam Seats Taken: 11/30
2021 |  |  | Vibrations (3c) Henry A Scarton Seats Taken: 10/30
2020 |  |  | Vibrations (3c) Henry A Scarton Seats Taken: 9/30
2019 |  |  | Vibrations (3c) Henry A Scarton Seats Taken: 9/35
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