MEM423Sp11_3.Example1

MEM423Sp11_3.Example1 - MEM 423: Mechanics of Vibrations...

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Unformatted text preview: MEM 423: Mechanics of Vibrations (examples) Dr. Ajmal Yousuff Dept. MEM Drexel University Example1 (rocker arm) x2 k1 m1 Find equivalent mass and stiffness w.r.t. x. keq x meq a kt q b k2 m2 x Equivalence of kinetic energy: J0 Example1 (rocker arm) x2 k1 m1 Find equivalent mass and stiffness w.r.t. x. keq x meq a kt a 1 meq m2 m1 J 0 b b 2 2 q b k2 m2 x J0 Rocker arm (q-equivalence) keq Jeq q Equivalence of kinetic energy: J eq m2b2 m1a 2 J 0 k2b 2 k1a 2 kt m2b 2 m1a 2 J 0 2 Equivalence of potential energy: keq k2b2 k1a 2 kt Example2 (pipe transporter) (a+R)q k1 Radius, R k2 a k1(a+R)q k2(a+R)q q no slip O m, J0 q (a+R)sin(q) C Find a that maximizes . J Cq k1 (a R) 2q k2 (a R) 2q 0; JC 1 3 mR 2 mR 2 mR 2 2 2 (k1 k2 )(a R)2 1.5mR 2 2 2 a R max 8 (k1 k2 ) 3m ...
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MEM423Sp11_3.Example1 - MEM 423: Mechanics of Vibrations...

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