ME3514_Units_and_mech_systems

ME3514_Units_and_mech_systems - ME3514 Mechanical Systems...

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Unformatted text preview: ME3514 Mechanical Systems Outline U n i t s Mechanical Elements Derive equations of motion (EOM) Newtons law Energy method ompute Natural Frequency Compute Natural Frequency Compute response M. Remillieux 1 ME3514 Units SI British Time (T) sec sec Length (L) m in (or ft) orce (F) Force (F) N lb Spring (F/L) N/m lb/in Damping (F/velocity) N.s/m lb.s/in p g ( y ) Mass (F/acceleration) N.s 2 /m lb.s 2 /in Energy (F.L) N.m lb.in Power (FxVelocity) N.m/s lb.in/s M. Remillieux Acceleration of gravity, g=9.81 m/s 2 (386.1 in/s 2 ) 2 ME3514 Mechanical Elements Inertia Element: mass ( m ) and moment of inertia ( J p ). It stores kinetic energy. pring Element mechanical element deformed by a force ( ) ( ) p F m a t T J t Spring Element : mechanical element deformed by a force or toque. It stores potential energy. or T k x x k Damper Element : mechanical element that dissipates nergy in the form of heat It does not store energy 1 2 1 2 or T t F k x x k energy in the form of heat. It does not store energy. 1 2 1 2 or T t F c x x c M. Remillieux 3 ME3514 Linear and Non-linear Springs From strength of materials recall: 10 3 N f k f k g x x 1 x 2 x 3 20 mm x 20 mm x g Similar linear and non-linear behavior for damping M. Remillieux 4 ME3514 Objectives To understand the behavior of mechanical...
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This note was uploaded on 10/05/2011 for the course ME 3514 at Virginia Tech.

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ME3514_Units_and_mech_systems - ME3514 Mechanical Systems...

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