71 Fct Determine the response of a single- DOF system without damping to the excitation shown...
A single dof vibration system, modeled by a mass of 50 kg, damping coefficient of 300 Ns/m, and spring constant of 5000 N/m, is subjected to periodic displacement excitation u(t) as shown in the figure below. 1. Derive the equation of motion 2. Using Laplace transform, find characteristic equation. 3. Find the undamped and damped natural frequencies. 4. Find the damping ratio. 5. Find the transfer function of output x(t) to the periodic input u(t) using Laplace transform.
12 The frequency response of a single DOF system of mass 4 kg is given as shown. If the stiffness of the system is doubled and it is subjected to a periodic force F) 200sin60r N, determine the maximum steady state response of the system 10 2 30 10 15 20 25 , rad/sec 12 The frequency response of a single DOF system of mass 4 kg is given as shown. If the stiffness of the system is doubled and...
any extra derivations you might have done on the single DOF system with no damping with a forcing function of F = f0sin(wt+phi)
Consider the single degree-of-freedom (DOF) dynamic system whose EOM is shown below: a. Find the natural frequency, damping ratio, and stiffness. b. Find the complete response when the initial conditions are y(0) 0, (0)-1 c. Compare the answers from mathematical software (eg. Matlab or Mathematica). Plot the responses from 0 to 10 seconds (both displacement and velocity) with the software. Append the software codes.
Find the total response of a single-DOF system with m = 10 kg, c = 20 N-s/m, k = 4000 N/m, xo = 0.01m and v0 = 0 when an external force F(t) = 400cos(5t) acts on the system. Assignment 2 1. Find the total response of a single-DOF system with m = 10 kg, c = 20 N-s/m, k = 4000 N/m, x, = 0.01m and Vo=0 when an external force F(t) = 400cos(51) acts on the system
Plz ASAP written clearly. 1. The system shown is is subjected to the base-excitation Determine a) the equation of motion b) the response of the system C. c) displacement transmissibility Take K 600 Tb/in, M-6 Ib.s/in, C 3 Ib.sVin [Show all your work
Problem Consider the system shown in Figure 5–74(a). The damping ratio of this system is 0.158 and the undamped natural frequency is 3.16 rad/sec. To improve the relative stability, we employ tachometer feedback. Figure 5–74(b) shows such a tachometer-feedback system. Determine the value of Kn so that the damping ratio of the system is 0.5. Draw unit-step response curves of both the original and tachometer-feedback systems. Also draw the error-versus-time curves for the unit-ramp response of both systems. R(3) C(s)...
Consider the system shown in the following. Determine the value of k such that the damping ratio } is 0.5. Then obtain the rise time ty, peak time tp, maximum overshoot Mp, and settling time ts in the unit-step response. R(S) C(s) 16 $ + 0.8 k
1. Figure 1 plots a two-order system frequency response at five different damping ratios. The damping ratios are 0.0.25, 0.5, 1.0, and 2.0, respectively. [5 marks] Output signal y(t) yo) - > (a) Identify the corresponding damping ratio of each curve (A1, A2, A3, A4, AS) tttt (b) If the natural frequency of this two-order system is 100 Hz and its damping ratio is A3, roughly estimate the response time for the system to reach the final stable state. tttttttt
Can you Solve in matlab please. I need your help B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value of K such that the damping ratio ζ of the dominant closed-loop poles is 05. Then determine all closed-loop poles. Plot the unit-step response curve with MATLAB. s(s2 +4s +5) Figure 7-59 Control system. B-7-6. Consider the system shown in Figure 7-59. Plot the root loci for the system. Determine the value...