a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when...
Tutorial 9 Transient Vibration as shown below. (a) Find the response of 40 N s/m; using 1he convolution Q.1 An nderdamped system is subjected to a transient force the system given the following data: m 10 kg. k 1000 N/m, integral, (b) sketch the response. F(t) 50 (1 Tutorial 9 Transient Vibration as shown below. (a) Find the response of 40 N s/m; using 1he convolution Q.1 An nderdamped system is subjected to a transient force the system given the...
Tutorial 9 Transient Vibration as shown below. (a) Find the response of 40 N s/m; using 1he convolution Q.1 An nderdamped system is subjected to a transient force the system given the following data: m 10 kg. k 1000 N/m, integral, (b) sketch the response. F(t) 50 (1 Tutorial 9 Transient Vibration as shown below. (a) Find the response of 40 N s/m; using 1he convolution Q.1 An nderdamped system is subjected to a transient force the system given the...
Problem 5. Consider the dynamics of two mass mechanical system captured by d2xi(t) Middt?t2+k(x1(t)-x2(t)) = f(t) d'x2(t) dt2 + k(x2(t)-x where M, , M2, and k are constants. Suppose the input is () and the output is X2 (t), find the transfer function G(s) of the system. Note: Consider all zero initial conditions.
Consider the spring-mass-damper system shown. Assume M-1kg. B - 20 N-s/m, K-25 N/m and f(t) = ON (zero-input case). The initial conditions are: x(O) = 1 m, x(0) = 0 m/s Select the correct plot of "x vs. t" for this zero-input case. They M B 0 0 O O o
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
Question 4 Xi →ろ sin at it m2, PM Consider the system shown in figure where m is subjected to F Sin(w t). Calculate the system response when m1 m2 and Kt k2- k Question 4 Xi →ろ sin at it m2, PM Consider the system shown in figure where m is subjected to F Sin(w t). Calculate the system response when m1 m2 and Kt k2- k
F(t) 1. The spring-mass system shown in the figure has • m=40kg, • k = 38.6kN / m • C=0.2518kNs / m The mass vibrates harmonically with an amplitude of 1mm and angular frequency @=100rad /s . 1.1 What is the amplitude of the force? 1.2 What is the frequency of the force that yields the maximum vibration amplitude? If the force amplitude is the same as the value computed in 1.1, what is the resulting vibration amplitude?
Show ALL work. Include all units at every step. 2. For the system shown in the figure below. Assume zero initial conditions. X(s) for the system. a) Derive the transfer function F(s) b) Derive an expression for x(t) when f(t) is a unit impulse 8(t). x(Output) f(t) (Input Force) ww No friction
with steps please 04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural frequencies of the system; (2) Determine the associated mode shapes; and (3) Obtain the vibration response if the initial conditions are given as x,(0)-0,x,(0)-0.001 m, 2kE TIITTTUITTU Figure 4 04. For the system shown in Figure 4 where m-10 kg, k-100 kN/m, the governing equations has been derived as (1) Find the natural...
Given an underdamped single-degree-of-freedom system with m 10 kg. c = 20 Ns/m. k = 4000 N/m. Assuming zero initial conditions Xo-Xo-0. response of the system to a unit step function f(t) - 1. itcx +Kx) steady-state value of the unit step response.