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System modeling and simulation(ME340)

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  1. System modeling and simulation(ME340) Chapter6.System Analysis in the Frequency domain 6.3 Frequency response examples 邹渊 Yuan Zou Tel: 68915202 Email: zouyuan@bit.edu.cn

  2. The neutrally stable case • ??? Consider Mass-spring-damping system when damping c=0 • mx’’+kx=Fsin(wt)

  3. Beating • Just consider the forced response:

  4. Explain this force response.

  5. And this

  6. What happed if r is 1?

  7. Resonance and transient response • 4x’’+3x’+100x=295*sin(0.7t*t).

  8. Two-mass suspension model

  9. Bode plot

  10. System modeling and simulation(ME340) Chapter6.System Analysis in the Frequency domain 6.4 Filter property of dynamic system 邹渊 Yuan Zou Tel: 68915202 Email: zouyuan@bit.edu.cn

  11. Filtering properties of dynamic system • Dynamic systems response in a different way to the input with the different frequency. • Low-pass: Vehicle suspension? • High-pass: RC circuit?

  12. Bandwidth • The range of frequencies over which the power transmitted or dissipated by the system is no less than one-half of the peak power. • [w1,w2]

  13. Bandwidth of first-order system • Band width: [0, 1/];

  14. Band width of second-order system

  15. Different dynamic behavior

  16. Alternative definition of bandwidth • Often the low-frequency input might account for more power than those of high-frequency input. • Sometimes bandwidth is defined as [0, ]. • But It is not true for high-pass filter system.

  17. Discussion for Human-ears property