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ASE 365 - Lecture 1 - Welcome to Structural Dynamics Dr...

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Click to edit Master subtitle style Welcome to Structural Dynamics! Dr. Jeffrey K. Bennighof ASE 365 Spring 2010
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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%
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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)
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“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
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Concepts from Dynamics Newton’s laws for a particle: 1. No force → no acceleration 2. m v p
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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”…)
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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
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Moment of a force: Moment of momentum (a.k.a. angular momentum): m r F O m r p O
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" conserved. is momentum Angular " : constant is , If O O H 0 M = text. in 69 p. 1.5, Problem at Look
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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 ) ( ) ( ) (
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) energy kinetic in change done work ( .
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