mech_inclass - Translational Mechanical Systems Rotational...

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Unformatted text preview: Translational Mechanical Systems Rotational Mechanical Systems Unit 2: Modeling in the Frequency Domain Part 5: Modeling Mechanical Systems Engineering 5821: Control Systems I Faculty of Engineering & Applied Science Memorial University of Newfoundland January 30, 2009 ENGI 5821 Unit 2, Part 5: Modeling Mechanical Systems Translational Mechanical Systems Rotational Mechanical Systems 1 Translational Mechanical Systems Example: Via DE Example: Problem Stated in the Freq. Domain Linearly Independent Motions 1 Rotational Mechanical Systems Gears ENGI 5821 Unit 2, Part 5: Modeling Mechanical Systems Translational Mechanical Systems We will model mechanical systems using three components: Translational Mechanical Systems We will model mechanical systems using three components: Spring: A spring applies a force against compression/expansion Mass: A moving mass has inertia and resists changes in velocity Viscous Damper: Resists motion (pure energy loss) Analogies with electrical quantities: Force is analagous to voltage, velocity to current, and displacement to charge. Analogies with electrical quantities: Force is analagous to voltage, velocity to current, and displacement to charge. Analogies with electrical components: Spring Capacitor, Mass Inductor, Viscous Damper Resistor Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). All other forces oppose this motion. Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). All other forces oppose this motion. Draw the free body diagram: Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). All other forces oppose this motion. Draw the free body diagram: Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). All other forces oppose this motion. Draw the free body diagram: The sum of forces must equal zero, Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t ). All other forces oppose this motion. Draw the free body diagram: The sum of forces must equal zero, M d 2 x ( t ) dt 2 + f v dx ( t ) dt + Kx ( t ) = f ( t ) Example: Via DE Find the transfer function X ( s ) / F ( s ) for the following system, Assume the mass is travelling to the right, pulled by the force f ( t )....
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This note was uploaded on 09/07/2009 for the course ENGINEERIN 5821 taught by Professor Andrewvardy, during the Spring '09 term at Memorial University.

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mech_inclass - Translational Mechanical Systems Rotational...

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