MAE147-lecture+13

MAE147-lecture+13 - MAE 147 “Vibrations” Lecture 13...

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Unformatted text preview: MAE 147 “Vibrations” Lecture 13 Instructor: Professor Andrei Shkel Email: [email protected] Office: EG4208 L13-2 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Before we get started ¡ For this week ¢ Chapter 6 ¢ HW 7 (due Feb. 27) ¢ Reading: Sections 6.2, 6.3, 6.4 (due Feb. 27 th ) ¢ Review of linear algebra ¡ Most important thing: find nontrivial solutions for Aa = ¡ Last Time ¢ Discontinuous Forcing Functions ¡ Heaviside Step Function ¡ Rectangular Pulse ¡ Laplace Transform of Discontinuous functions ¢ General Periodic Inputs ¡ Fourier Series Method L13-3 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Lecture Outline ¡ Modeling of 2 DOF systems ¢ 2 nd Newtons Law ¡ Free Vibration Analysis ¢ Natural Frequency ¢ Characteristic equation L13-4 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 2 DOF Systems ¡ 2 DOF system – requires 2 independent coordinate to describe the system ¡ How to derive the equations of motion ? What are the options ? ¡ How to find the natural frequencies of vibration? How many natural frequencies ? ¡ How to find the modes of vibration ? What are the modes ? ¡ How to find free-response and forced response? L13-5 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Coupled Higher-Order Equations...
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MAE147-lecture+13 - MAE 147 “Vibrations” Lecture 13...

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