Damping Ratio

Related BrainMass Solutions

• Using Damping Ratio for Characteristic Equation and Root Loci

  165850 Using Damping Ratio for Characteristic Equation and Root Loci Find the characteristic equation and root loci based on the specific damping ratio. See attachment for full description.

• Equation of Motion and other Physics Problems

  What is the value of the viscous damping coefficient c? 13 In the idealized model shown, m = 15 kg, k = 135 N/m, and the viscous damping ratio is 0.15.

• Closed Loop Control Systems

  Maximum overshoot M_p = 0.2 Peak time t_p = 1 sec d) What will be the system's 2% settling time where, The maximum overshoot is given by M_p = e^-x and x = (damping ratio * pi)/sqrt(1 - damping ratio^2) The peak time is given by t_p = pie/[(w_n)

• Vibrations problems

  What is the value of the viscous damping ratio? a)0.0637 b)0.0870 c)0.0992 6) A Mass-Spring-Damper system is tested to determine the value of the viscous damping coefficient C. Assume k=150N/m and m=30kg.

• Linear Systems and Second Order

  It is known that the nth overshoot Sn of the response is given by, where c is the damping ratio. Use this and the response obtained to: i. Find values of the damping ratio c and the natural radian frequency. ii.

• Transfer Function and Feedback Control System

  For Kp=1.63 the damping ratio will be 0.707 The closed loop model function will be Transfer function: 50 -------------------------- s^3 + 15 s^2 + 50 s + 81.5 DC gain Kdc= 50/81.5= 0.6135.

• Mechanical Vibration Analysis

  From Newton's second law of motion using a free-body diagram, the equation of motion is, It is useful to divide equation (2) by m so that rearranging we obtain, Where is the undamped natural frequency as before and the viscous damping ratio

• Control Systems: Root-Locus Problems

  c) Determine the value of the gain factor K for which the system with the above open loop transfer has closed loop poles with a damping ratio of 0.5.

• Control Systems (Closed Loop; Amplifier Gain; Natural Frequency; Root Locus; Stable, Underdamped Response)

   First-order System This is only a first-order system and hence there is neither a Natural Frequency nor a Damping Ratio!! Please go through this proof yourself and let me know if I have made any mistakes.