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MEM423Sp11_4.nDOF

MEM423Sp11_4.nDOF - MEM423:Mechanics of...

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MEM423:Mechanics of Vibratio ns (multi-DOF) Dr. Ajmal Yousuff Dept. MEM Drexel University
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overview Modeling analysis Yousuff MEM423 Vibrations 2
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Motor cycle Yousuff MEM423 Vibrations 3 Rider Strut Tire Wheel
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schematics Yousuff MEM423 Vibrations 4 M V M W K S K T C S M R K R C R M W K T K S C S 2 M W 2K S 2K T 2C S M V + M R M 2 K 12 K 2 C 12 M 1
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Math Model Free body diagram: Yousuff MEM423 Vibrations 5 M 1 x 1 M 2 x 2 12 1 2 () K x x 1 2 C x x  1 1 1 2 1 2 ( ) ( ) M x K x x C x x 2 2 2 1 2 1 2 2 ( ) ( ) M x K x x C x x K x 2 1 K x x 2 1 C x x 22 Kx
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Model, contd. Rewrite the equations: 0 ) ( ) ( 2 12 2 12 1 12 1 12 1 1 x K x C x K x C x M 2 2 12 2 2 2 1 1 ( ( ) ) ( ) 0 M x C x K K x C x K x  Yousuff MEM423 Vibrations 6 Note the Symmetry
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Model in s-domain 0 ) ( )) ( ( 0 ) ( ) ( 1 12 12 2 12 12 2 2 2 12 12 1 12 12 2 1 X K s C X K K s C s M X K s C X K s C s M T Yousuff MEM423 Vibrations 7 2 1 1 12 2 2 2 2 0 ( ) ( ) 0 ( ) ( ( X M s C s K C s K X C s K M s C s K K In matrix form: M 2 K 12 K 2 C 12 M 1
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Example.3 Yousuff MEM423 Vibrations 8 f c 1s k 2s k 12 k 1s m 2 m 1 c 2s c 12
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Transfer Function for Example.3
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  • Spring '07
  • Yousuff
  • Tier One, Scaled Composites, M3 Half-track, Scaled Composites White Knight, 2004 in spaceflight, Sub-orbital spaceflight

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MEM423Sp11_4.nDOF - MEM423:Mechanics of...

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