MIT2_72s09_lec16

MIT2_72s09_lec16 - MIT OpenCourseWare http:/ocw.mit.edu...

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MIT OpenCourseWare http://ocw.mit.edu 2.72 Elements of Mechanical Design Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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2.72 Elements of Mechanical Design Lecture 16 : Dynamics and damping
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Schedule and reading assignment Quiz None Topics Vibration physics Connection to real world Activity Reading assignment Skim last gear reading assignment… (gear selection) © Martin Culpepper, All rights reserved 2
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Resonance Basic Physics Exchange potential-kinetic energy Energy transfer with loss Modeling 2nd order system model Spring mass damper± Transforms Why Do We Care Critical to understanding motion of structures- desired and undesired Generally not steady state Location error Large forces, high fatigue ω Gain ω n m k c x F(t) m k n = ω KE PE Loss Differential equations, Laplace © Martin Culpepper, All rights reserved 3
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Vibrations - Input Oscillation of System A Why Categorize Different causes Different solutions Input Form Forced – Steady State Command Signal Electrical (60 Hz) A Free – Transient Impacts t Forced t Free © Martin Culpepper, All rights reserved 4
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Vibrations - Source Source 10 -9 Undriven Disturbance 10 -13 Driven Disturbance 10 -17 Device Motors Spectrum Rotating Components 10 -2 1 10 2 10 4 Undriven Electrical (60 Hz)± People (2 Hz)± Cars (10 Hz)± System Driven Disturbance Nearby Equipment Command Step Response A t Vibration Command Response © Martin Culpepper, All rights reserved 5
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Underdamped response Noise Free vibration Golda, D. S., “Design of High-Speed, Meso-Scale Nanopositioners Driven by Electromagnetic Actuators,” Ph.D. Thesis, Massachusetts Institute of Technology, 2008 . © Martin Culpepper, All rights reserved
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.72 taught by Professor Martinculpepper during the Spring '09 term at MIT.

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MIT2_72s09_lec16 - MIT OpenCourseWare http:/ocw.mit.edu...

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