Tutorial 9 Transient Vibration as shown below. (a) Find the response of 40 N s/m; using...
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...
a C k ww fwyn F(t) (m Calculate the vibration response of the shown system when the force F(1) = 25 S(1), where 8(t) is the Dirac delta function. Consider the data of Problem 4 and zero initial conditions.
mi k2 b yi m2 Figure 5-45 Mechanical system. Assuming that mi 10 kg, m2 5 kg, b 10 N-s/m, k 40 N/m, and k 20 N/m and that input force u is a constant force of 5 N, obtain the response of the sys- tem. Plot the response curves n(t) versus r and y2(t) versus t with MATLAB Problem B-5-23 Consider the system shown in Figure 5-45. The system is at rest for t < 0. The dis placements...
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1
Question Four (a) Determine the response x() for the...
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
Obtain the period of vibration of the system shown in Figure 1.
The blue block has a mass of 58 kg and is pushed down 1 m from its
equilibrium position and it is then released. This system is
subjected to a force F of magnitude 12 N, sufficient to cause
deformation δ. Determine its vibration period
k1=4,495 N/m
k2=6,242 N/m
Obtenga el periodo de vibración del sistema mostrado en la Figura 1. El bloque azul tiene una masa de...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
mmHg 10-26. The displacement y(t) of a spring-mass system shown in Fig. P10.26 is given by 0.25 y(t)+ 10 y()0 (a) Find the transient solution, yrun() (b) Find the steady-state solution of the displacement ys (c) Determine the total displacement y(t) if the initial displacement y(0) 0.2 m and the initial veloc- ity y(0)-0 m/s (d) Sketch the total displacement y(t). k 10 N/m 0.25 kg y0)
mmHg 10-26. The displacement y(t) of a spring-mass system shown in Fig. P10.26...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
1. A force F(t) is suddenly applied to a mass m, which is supported by a spring with a constant k After a short period of time r, the force is suddenly removed. During the time the force is active, it is a constant Determine the response of the system for t> τ. The spring and mass are initially at rest before the force F() is applied. (a) Use the convolution integral. (b) Use the Laplace Transform. (c) what values...