{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ASE 365 - Lecture Test 1 Compalation

ASE 365 - Lecture Test 1 Compalation - Welcome to...

Info icon This preview shows pages 1–16. Sign up to view the full content.

View Full Document Right Arrow Icon
Click to edit Master subtitle style Welcome to Structural Dynamics! Dr. Jeffrey K. Bennighof ASE 365 Spring 2010
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Preliminaries My office data: WRW 308B, 471-4709 Email: [email protected] (or [email protected]) Office hours: 11-12 a.m. MWF Textbook: Fundamentals of Vibrations by L. Meirovitch Grading: 3 tests (20% each), final (30%) Homework: 10%
Image of page 2
Reading and homework Read sections 1-8, 10 of chapter 1 Homework sets due on Mondays Assignments posted on http://courses.utexas.edu Grader: Rohan Mahadik (WRW 214)
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
“How to thrive in 365” Come to class Stay engaged in class: Ask questions, participate Take notes Read the book Try to finish the homework by Friday, if it’s due on Monday
Image of page 4
Concepts from Dynamics Newton’s laws for a particle: 1. No force → no acceleration 2. m v p
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Free-body diagrams 1. Decide: What is the “object”? 2. Draw the object separated from its surroundings (a “free body”). 3. Represent all forces and moments acting on the body. 4. “Inertia forces” do not belong on a FBD. (Maybe on a “kinetic diagram”…)
Image of page 6
Newton’s laws for a particle (cont’d): 3. Interaction forces between two particles are equal and opposite fi j mj fj i mi text. in 67 p. 1.1, Problem : Example
Image of page 7

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Moment of a force: Moment of momentum (a.k.a. angular momentum): m r F O m r p O
Image of page 8
" conserved. is momentum Angular " : constant is , If O O H 0 M = text. in 69 p. 1.5, Problem at Look
Image of page 9

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
O O O M F r f F r r r r r r r H r r H O Σ = × = + × = × = × + × = × = = = = = = = = i N i i N j ij i N i i i i N i i i i N i i i i N i i i i N i i m m m m 1 1 1 1 1 1 1 so : about momentum Angular center. mass to relative position is where : center mass About C i i i N i i r r r M F r H C C - Σ = × = = 1
Image of page 10
Work and energy : work of Increment m F dr dr F = dW : energy Kinetic dT m d d m dt dt d m dt m dt dt d m m dW = = = = = = = r r r r r r r r r r dr r 2 1 ) ( ) ( ) (
Image of page 11

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
) energy kinetic in change done work ( . have must we then , and If = - = = = = 1 2 12 2 1 T T W dT dW dW dr F dr F r r ) energy) potential in (change done work ( . and energy potential a is there ve, conservati are forces If - = - - = ) ( 1 2 12 V V W V ) conserved is energy total ( energy total where or so Then = + = + = + - = - - = V T E E E V T V T T T V V W 2 1 2 2 1 1 1 2 1 2 12 ) (
Image of page 12
Systems of particles m1 mi mj m N : for law 2nd s Newton' i m N i m N j i i ij i , , 1 1 = = + = , a f F i N i N i i N j ij N i i m a f F = = = = = + 1 1 1 1 : system entire For : cancels so , law, 3rd s Newton' By ∑∑ = = - = N i N j ij ji ij 1 1 f f f system. on force resultant is where F a F F i N i i N i i m = = = = 1 1
Image of page 13

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
i N i i tot C N i i C N i i i N i i C m m m m m r r r r r = = = = = = 1 1 1 1 so : center mass Define . becomes law 2nd s Newton' and Then C tot C tot C N i i i N i i i N i i m m m m m a F a r r a = = = = = = = 1 1 1
Image of page 14
O O O M F r f F r r r r r r r H r r H O Σ = × =
Image of page 15

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 16
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern