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ME 392 Chapter 8 Modal Analysis & Some Other Stuff April 2, 2012 week 12. Joseph Vignola. Assignments . I would like to offer to everyone the extra help you might need to catch up. Assignment 5 was due March 28 Lab 3 is due April 6 Lab 4 is due April 20 (this Friday)
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ME 392Chapter 8Modal Analysis& Some Other StuffApril 2, 2012week 12 Joseph Vignola
Assignments I would like to offer to everyone the extra help you might need to catch up. Assignment 5 was due March 28 Lab 3 is due April 6 Lab 4 is due April 20 (this Friday) Assignment 6 was due April 27
Use Templates Please make and use templates in Word for the assignments and lab reports You can make a template out of lab 1
Assignments I have gotten several write-ups that don’t include plots or results I sent out an example for assignment 5 Please make sure you include Matlab plots and results Please find the slopes and the linear limit of the shaker
Calendar for the Rest of the Semester We are running out of time April May
Calendar for the Rest of the Semester We are running out of time April May Please keep the lab clear particularly for Odyssey Day
Calendar for the Rest of the Semester We are running out of time April May Please keep the lab clear particularly for Odyssey Day Then we have Easter break
Calendar for the Rest of the Semester We are running out of time April May Please keep the lab clear particularly for Odyssey Day Then we have Easter break Then I am out of town for a few days
Calendar for the Rest of the Semester We are running out of time April May Please keep the lab clear particularly for Odyssey Day Then we have Easter break Then I am out of town for a few days Senior Design Day Then finals week
Calendar for the Rest of the Semester We are running out of time April May hard due date You must have turned in by these dates so that I have time to grade them
Citations Please use proper citations
Citations Please use proper citations [1] J. F. Vignola, et al., Shaping of a system's frequency response using an array of subordinate oscillators, J. Acoust. Soc. Am., vol. 126, pp. 129-139, 2009.
Citations Please use proper citations I don’t care what format you use, just pick one and be consistent [1] J. F. Vignola, et al., Shaping of a system's frequency response using an array of subordinate oscillators, J. Acoust. Soc. Am., vol. 126, pp. 129-139, 2009.
Citations Please use proper citations I don’t care what format you use, just pick one and be consistent It is NOT ok to copy text from a source and follow it with a citation
Citations Please use proper citations I don’t care what format you use, just pick one and be consistent It is NOT ok to copy text from a source and follow it with a citation Never use anyone else’s text without quotes
Citations Please use proper citations I don’t care what format you use, just pick one and be consistent It is NOT ok to copy text from a source and follow it with a citation Never use anyone else’s text without quotes And, oh, by the way, don’t quote
Citations Please use proper citations All figure taken from outside must have a citation
Citations Please use proper citations All figure taken from outside must have a citation [1] J. F. Vignola, et al., Shaping of a system's frequency response using an array of subordinate oscillators, J. Acoust. Soc. Am., vol. 126, pp. 129-139, 2009. Taken from Vignola [1] 2009
Citations Please use proper citations All figure taken from outside must have a citation [1] J. F. Vignola, et al., Shaping of a system's frequency response using an array of subordinate oscillators, J. Acoust. Soc. Am., vol. 126, pp. 129-139, 2009. … and the figure must have a taken from label Taken from Vignola [1] 2009
Plagiarism Please write your lab reports on your own
Plagiarism Please write your lab reports on your own I will help you and you can also ask the TAs for help
Plagiarism Please write your lab reports on your own I will help you and you can also ask the TAs for help Don’t paraphrase someone else’s work
Plagiarism Please write your lab reports on your own I will help you and you can also ask the TAs for help Don’t paraphrase someone else’s work… …not from someone in this class or anyone who took the class sometime in the past or anyone.
Plagiarism Please write your lab reports on your own I will help you and you can also ask the TAs for help Don’t paraphrase someone else’s work… …not from someone in this class or anyone who took the class sometime in the past or anyone. The University of Wisconsin has an excellent web page that discuss plagiarism in detail http://students.wisc.edu/saja/misconduct/UWS14.html
Plagiarism Please write your lab reports on your own I will help you and you can also ask the TAs for help Don’t paraphrase someone else’s work… …not from someone in this class or anyone who took the class sometime in the past or anyone. The University of Wisconsin has an excellent web page that discuss plagiarism in detail http://students.wisc.edu/saja/misconduct/UWS14.html What constitutes plagiarism does not change from instructor to instructor
Block Diagrams Please don’t include the LabView block diagram in your lab reports
Block Diagrams Please don’t include the LabView block diagram in your lab reports Taken from Vignola 1991
Block Diagrams Please don’t include the LabView block diagram in your lab reports yes Taken from Vignola 1991
Block Diagrams Please don’t include the LabView block diagram in your lab reports yes Taken from Vignola 1991 Taken from Vignola 2011
Block Diagrams Please don’t include the LabView block diagram in your lab reports yes no Taken from Vignola 1991 Taken from Vignola 2011
Matlab Code Matlab code NEVER belongs in the body of a lab report Put it in the appendix if you think it is really necessary Don’t include L = .7; x = L*[0:.005:1]; h = .003; [f,t] = freqtime(.0004,1024); n=1:15; k = pi*n'/L; An = (-4*h./((pi*n).^2)); a = 1/7; Bn = (2*h./((pi*n).^2))*(1/(a*(1-a))).*sin(a*n*pi); c = 100; omega = n*pi*c/L;
Equations Please use the equation editor in MS Word for all equations It is easy to use but if you don’t know how to use it please let me help you learn it
Equations Please use the equation editor in MS Word for all equations It is easy to use but if you don’t know how to use it please let me help you learn it yes
Equations Please use the equation editor in MS Word for all equations It is easy to use but if you don’t know how to use it please let me help you learn it yes no Bn = (2*h./((pi*n).^2))*(1/(a*(1-a))).*sin(a*n*pi);
Single Degree of Freedom Oscillator Last week we looked at the single degree of freedom k b m x(t)
Single Degree of Freedom Oscillator Last week we looked at the single degree of freedom k b m x(t) And can predict its behavior in either time
Single Degree of Freedom Oscillator Last week we looked at the single degree of freedom k b m x(t) And can predict its behavior in either time or frequency domain
Multi Degree of Freedom Oscillators …what I didn’t tell you last week was that real structures have more that one resonance Every one of these resonance has a particular frequency And a specific shape that describes the way it deforms.
Multi Degree of Freedom Oscillators …what I didn’t tell you last week was that real structures have more that one resonance k1 b1 Every one of these resonance has a particular frequency And a specific shape that describes the way it deforms. We can model a structure as a collection masses – springs and dampers m1 x1(t) k2 b2 m2 x2(t) k3 b3 x3(t) m3 F(t)
Two Degree of Freedom Oscillator As an example consider two mass constrained to only move side to side Taken from Judge, ME 392 Notes
Two Degree of Freedom Oscillator As an example consider two mass constrained to only move side to side One mode has the two masses moving together Taken from Judge, ME 392 Notes
Two Degree of Freedom Oscillator As an example consider two mass constrained to only move side to side One mode has the two masses moving together The other mode has the masses moving in opposition Taken from Judge, ME 392 Notes
Clamped String Strings like those on musical instruments respond are discreet frequencies A mode can only be excited at one frequency
Clamped String Strings like those on musical instruments respond are discreet frequencies A mode can only be excited at one frequency For the guitar string the mode frequencies are integer multiplies of the lowest (the fundamental) The mode shapes are simple sine functions
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes So if I pull the string at sum location, say the middle and let it go
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes So if I pull the string at sum location, say the middle and let it go… You can predict the displacement field by adding up a modes
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes So if I pull the string at sum location, say the middle and let it go… You can predict the displacement field by adding up a modes
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes So if I pull the string at sum location, say the middle and let it go… You can predict the displacement field by adding up a modes
Clamped String Strings like those on musical instruments respond are discreet frequencies The response to any excitation can only be composed of those modes So if I pull the string at sum location, say the middle and let it go… You can predict the displacement field by adding up a modes