MAE147-lecture+14

MAE147-lecture+14 - MAE 147 "Vibrations" Lecture...

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MAE 147 “Vibrations” Lecture 14 Instructor: Professor Andrei Shkel Email: ashkel@uci.edu Office: EG4208
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L14-2 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Mid-Term Results ± Scores ² Mean 75.42 (range: 50-98) ² Std. Deviation 16.23 ² Distribution ± 95-100 5 ± 90-95 13 ± 85-90 20 ± 80-85 8 ± 75-80 16 ± 70-75 9 ± 65-70 11 ± 60-65 14 ± <60 10 ± Questions / Concerns ² Please contact me
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L14-3 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Before we get started ± For this week ² Chapter 6 ² HW 7 (due Feb. 27, today) ² Reading: Sections 6.5, 6.6 (due March 3 rd ) ± Last Time ² Modeling of 2 DOF systems ± 2 nd Newton’s Law ± Coupled High-order equations ± Rotational System ± Coupled Rotation and Translation
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L14-4 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Lecture Outline ± Free Vibration Analysis ² Natural Frequency ² Characteristic equation ² Principle modes of vibration ² Laplace transform method of analysis
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L14-5 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Multi DOF Systems ± A 1-degree-of-freedom system has 1 mode of vibration and 1 natural frequency ± A 2-degree-of-freedom system has 2 modes of vibration and 2 natural frequencies ² Note: the movie shows the two mode shapes, but does not correctly show the natural frequencies. In reality, the two modes vibrate at distinct frequencies.
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L14-6 MAE 147 “Vibrations” Professor Andrei M. Shkel Winter 2008 Two-Mass System Without Damping k 1 k 2 M 1 M 2 y 1 y 2 F 1 () 2 1 2 y y k M 2 M 1 ( ) 2 1 2 y y k 1 1 y k F 1 1 2 1 2 1 1
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This note was uploaded on 04/07/2008 for the course MAE 147 taught by Professor Shkel during the Winter '08 term at UC Irvine.

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MAE147-lecture+14 - MAE 147 &quot;Vibrations&quot; Lecture...

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