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ME 540 Vibration of Continuous Systems 3 Credits
This course is designed for graduate students. It is aimed to teach the fundamental concepts how continuous systems vibrate. Fundamental aspects of vibrations for mathematical modeling, derivation/solution of boundary value problem, and subsequent system analysis will be covered both using analytical and approximate methods: 1) Advanced principles of dynamics (Elasticity and strain energy, generalized coordinates, Hamilton’s principle) 2) General Formulation of Natural Modes of Vibration in Continuous System (Boundary value problem, eigenvalue problem, orthogonality) 3) Natural Modes of Vibration in Continuous Systems (vibration of strings, longitudinal vibration of beams, bending vibrations of beams, vibration of membranes, expansion and enclosure theorems, Rayleigh’s quotient) 4) Natural Modes of Vibration in Continuous Systems using Approximate Methods (Rayleigh’s energy method, Rayleigh-Ritz method, Assumed modes method, Galerkin’s method) 5) Response of Undamped Continuous Systems (modal analysis, assumed modes method, Galerkin’s method)
Last Offered Terms Course Name SU Credit
Spring 2023-2024 Vibration of Continuous Systems 3
Spring 2022-2023 Special Topics in ME: Vibration of Continuous Systems (ME58002) 3
Spring 2021-2022 Special Topics in ME: Vibration of Continuous Systems (ME58002) 3
Spring 2017-2018 Special Topics in ME: Vibration of Continuous Systems (ME58002) 3
Prerequisite: __
Corequisite: __
ECTS Credit: 10 ECTS (10 ECTS for students admitted before 2013-14 Academic Year)
General Requirements: