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ME429_Fall_2009_HW5_Solution

# ME429_Fall_2009_HW5_Solution - Assigned on 09.10.2009...

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Assigned on 09.10.2009 Monday Due date 16.11.2009 Monday, beginning of the lecture, sharp! ME429 Fall 2009 HW5 - SOLUTION 1) Using the system characteristics from the solution of HW4 5 10 N/m k = , 0.03182 η = ( )( ) 5 10 0.03182 3182 N/m h k η = = = 100000 100 rad/s 10 n k m ω = = = Writing the receptance expression for a SDOF system with hysteretic damping; a) ( ) 5 2 2 5 2 1 1 1 10 m/N 10 10 3182 1 0.03182 1 100 n k i i i α ω ω ω ω η ω = = = - +   - + - +     b) Nyquist plot of α (ω) c) α ( ω ) vs. ω -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x 10 -4 -3 -2 -1 0 x 10 -4 real part of the complex receptance [m/N] imaginary part of the complex receptance [m/N] Im[ α ( ω )] vs Re[ α ( ω )]

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Assigned on 09.10.2009 Monday Due date 16.11.2009 Monday, beginning of the lecture, sharp! d) log ( α ( ω )) vs. ω e) log ( α ( ω )) vs. log ( ω ) 0 20 40 60 80 100 120 140 160 180 200 0 0.5 1 1.5 2 2.5 3 3.5 x 10 -4 frequency [rad/s] modulus of the receptance [m/N] α ( ω ) vs ω 0 20 40 60 80 100 120 140 160 180 200 10 -6 10 -5 10 -4 10 -3 frequency [rad/s] modulus of the receptance [m/N] log[ α ( ω )] vs ω
Assigned on 09.10.2009 Monday Due date 16.11.2009 Monday, beginning of the lecture, sharp!

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