ME_3504_week1_professor

ME_3504_week1_professor - Dynamic Systems Vibrations ME...

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1 ME 3504 : Week 1 Dynamic Systems - Vibrations ME 3504 Michael Roan [email protected]
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2 ME 3504 : Week 1 Course Policy: ME 3504 Grades will be based on a numerical average calculated with the following weightings: Two in-class tests = 50% Final Examination = 25% Weekly homework and in-class quizzes = 25% Tests will be given on the dates indicated. Makeup tests will not be given except in special cases. If you have to miss a test you should contact me before the test date. Homework will be due as indicated. Students will be allowed to drop one homework grade.
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3 ME 3504 : Week 1 Course Policy: ME 3504 Text: Engineering Vibration , 2nd Edition, D. J. Inman, Prentice Hall, 2001 Computer Code: You will be required to use the Student Edition of MATLAB to solve Homework Problems.
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4 ME 3504 : Week 1 Marking Dispute Policy The Insurance File 1. On a cover page that includes your name and the date, briefly describe the injustice or complaint. 2. Also on the cover page, state the exact number of points that you feel that should be added back to your score. 3. Resubmit the entire original work. Since I will keep this please make a photocopy for your records and for later studying.
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5 ME 3504 : Week 1 Help sessions rather than office hours Office hours are by appointment. E-Mail is the best way to have questions answered. Don’t wait till the last minute! Students turning up at my door unannounced will not be helped.
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6 ME 3504 : Week 1 Course Notes Course notes will be provided on the Blackboard System You must print out the notes beforehand and bring them to class The notes are incomplete and will only include partially drawn figures and equations which must be completed during class. This assures both your attendance and attention during class.
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7 ME 3504 : Week 1 Course Notes: My Version Differential equations ) ( t f kx x b x M = + + Laplace transform [ ] ) ( ) ( s F s X k bs Ms 2 = + + Transfer function k bs Ms 1 s F s X s G 2 + + = = ) ( ) ( ) ( M b k x f(t) Input force Output displacement v(t) t
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8 ME 3504 : Week 1 Course Notes: Your Version Differential equations Laplace transform Transfer function ) ( t f kx x b x M = + + M b k x f(t) Input force Output displacement v(t) t You fill in here
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9 ME 3504 : Week 1 Why do things vibrate? Consider a ball bouncing off of a wall v is +ive t 1 v = 0 t 2 t 3 High Kinetic energy Low potential energy High Kinetic energy Low potential energy Low Kinetic energy High potential energy v is -ive
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10 ME 3504 : Week 1 Position, Velocity and Acceleration t x t v t a t 1 t 2 t 3 t 1 t 2 t 3 t 1 t 2 t 3
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11 ME 3504 : Week 1 Bouncing between two walls v is +ive t 1 v = 0 t 2 High KE Low PE v is -ive t 3 High KE Low PE v is +ive t 5 High KE Low PE v = 0 t 2 Low KE High PE Low KE High PE
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12 ME 3504 : Week 1 Velocity over cycle t v t 3 t 4 t 5 t 1 t 2
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13 ME 3504 : Week 1 Stiffness and mass Vibration is cause by the interaction of two different forces one related to position (stiffness) and one related to acceleration (mass).
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