20. Linear System Modeling a Single Degree of Freedom Oscillator

MIT 2.003SC Engineering Dynamics, Fall 2011
View the complete course: ocw.mit.edu/2-0...
Instructor: J. Kim Vandiver
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu

[@nikhiln7065]

This is just gold to mech students

[@danpowers4927]

better than my uc class

[@emaduddinahmad1299]

Parts of these lectures are actually useful to civil students as well, so gold for civil students as well I'd say.

[@RD2564]

Kim is a force of nature, these lectures are excellent.

[@georgesadler7830]

DR. Vandiver, thank you for an awesome lecture of Linear System Modeling a Single Degree of Freedom Oscillator. The experiments and demonstrations are also fantastic.

[@cheedu100]

Thank you! This is great content. The experiment helped visualize the dynamic amplification ratio really well

[@rickyen2233]

Thank you. It's a really helpful and enjoyable lecture.

[@brainstormingsharing1309]

Absolutely well done and definitely keep it up!!! 👍👍👍👍👍

[@PATHMINDER]

Many thanks

[@piotrek0207]

Thanks for this great lecture.

[@jkhong25]

Really nice!

[@upanddown7911]

Thank you sir！

[@9okku]

56:51 I presume he refereed to the book; S. RAO - MECHANICAL VIBRATIONS

[@jerusalemgeremew8704]

What about tutbomachinery

[@syakirazmi5038]

Excuse me but why is the k for the bar bullet problem is (M*g*L/2 + m*L*g)?at 30:56

[@NisseOhlsen]

My attempt: The natural frequency w is defined as the square root of the ratio of the terms before the variable (so k) and its second order derivate (so m). So for the linear equation, we get w=sqrt(k/m). The linear equation is a force equation, because all terms in that equation are forces. If we do the same for the rational equation, namely take the square root of the terms before the variable (the angle) and its second order derivate (the angular acceleration), we get the w you see there. The rotational equation is a moment equation; all terms in the equation are moments. We can make the transition from the linear to the rotational equation by multiplying by the radius (and vice versa) , because M = r X F. Therefore, when we calculate w for the rotational equation, r is in both terms and will disapper when we divide. Therefore, the expressions are equivalent. The term mLg is added, as the professor states, to account for the moment (per angle) provided by the small patch of material which was added under the collision. Likewise, the term mL^2 was added to account for the corresponding increase in intertial moment, or, equavalently, the moment per angular acceleration. With all this in mind, we can say that the natural frequency w is actually the square root of ( [the sum of the moments per angle] / [the sum of the moments per angular acceleration]) or, equivalently, the square root of ( [the sum of the forces per distance] / [the sum of the forces per linear acceleration])

[@idratherbnhawaii]

Any way that we can get the title of the text that was used that semester?

[@mitocw]

+Stephen Goodman There are no required textbooks for this course, but suggested readings are drawn from the following texts: Hibbeler, Russell C. Engineering Mechanics: Dynamics. 12th ed. Prentice Hall, 2009. ISBN: 9780136077916. (www.amazon.com/exec/obidos/ASIN/0136077919/ref=nosim/mitopencourse-20) Williams, J. Fundamentals of Applied Dynamics. John Wiley & Sons, 1995. ISBN: 9780471109372. (www.amazon.com/exec/obidos/ASIN/0471109371/ref=nosim/mitopencourse-20) See the course on the MIT OpenCourseWare site for more details at: ocw.mit.edu/2-003SCF11

[@idratherbnhawaii]

Thanks

[@ahmedellaithy4403]

i am sorry but anyone know what is this device he was holding in his hands dealing with frequency? help plz

[@devinlunney7121]

I think you are asking about the flashing light that has a variable frequency of the flashes. It is called a strobe light. You can also download a smartphone app to do the same thing.

[@ahmedellaithy4403]

ty very much man

[@devinlunney7121]

*correction. It is also (more precisely) called a tachometer.

[@chiragpalan9780]

hi, i am interested to know is there any advantage of dealing in frequency domain while dealing with dynamics of continuous system? specially the catenary type structures (SCR)? if is there any what are they? any reference ? please help me in that

[@fffrah3074]

Chirag Palan yes

[@samuelramossantos7177]

Quem precisa do RHAO agora?

[@rohitbhosle6521]

Ss rao

[@abdurahmanitani5982]

شباب في عرب هون عم يحضرو؟

[@markkk12345]

Abdurahman Itani there's certainly some arab people but you should write in English language here! Just try to be one like everyone here

[@abdurahmanitani5982]

Muhammed Al koussini يا هلا حبيبي من وين اخي انت؟مرحبا فيك نورت المكان

[@abdurahmanitani5982]

Muhammed Al شو مجالك بالهندسة؟

[@markkk12345]

I am from Syria but i study a master of construction engineering in Germany And you?

[@abdurahmanitani5982]

انا من لبنان :) بدرس هندسة ميكانيك في كندا

[@animisteddie8193]

14:51

[@tag_of_frank]

8.03 in 2 lectures minus EM waves

[@cochranewilde1422]

****

[@felipelity7001]

o_O