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![(5) A= [00; 001-4; 0((C). This ] , B = [0.; 0; 0; kz/m] ; CE (1100) % for spring mass displacement: = [0010] .%. for spring m](http://img.homeworklib.com/questions/e8f8b580-ab77-11ea-b8a2-cffd02cf269c.png?x-oss-process=image/resize,w_560)
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Additional Prob. 1: Consider a two-mass quarter-car model of a suspension system as shown in figure....
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Mechanical vibration subject 3. a. Consider the system of Figure 3. If C1 = C2 =...
Mechanical vibration subject
3. a. Consider the system of Figure 3. If C1 = C2 = C3 = 0, develops the equation of motion and predict the mass and stiffness matrices. Note that setting k3 = 0 in your solution should result in the stiffness matrix given by [ky + kz -k2 kz b. constructs the characteristics equation from Question 3(a) for the case m1 = 9 kg, m2 = 1 kg, k1 = 24 N/m, k2 = 3 N/m,...
(40pts) The suspension system for one wheel of a pickup truck is illustrated in the following...
(40pts) The suspension system for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle distributed on this wheel is mi and the mass of the wheel is m2. The suspension spring has a spring constant kı and the tire has a spring constant of k2. The damping constant of the shock absorber is b. Assume the truck's vertical displacement yi(t) is the output and the road surface profile x(t) is the input....
6. Consider two coupled oscillators of mass mi and m2 that are attached by springs and are unstre...
6. Consider two coupled oscillators of mass mi and m2 that are attached by springs and are unstretched when x,-12-0. The damping force viscous dampers. The springs is proportional to the speed of the displacement and acts in the direction opposite the motion, Fd--cv T1 k1 k2 m1 m2 C1 C2 C3 a) Find the equations of motion in and i2 b) Since the equations are coupled, write them in matrix form: ME+ CE+ K 0
6. Consider two coupled...
4.9. Draw a Simulink diagram to represent the system shown in Example 4.3. Plot x, and...
4.9. Draw a Simulink diagram to represent the system shown in Example 4.3. Plot x, and x2 for the first 50 seconds when the applied force fal increases from 0 to 10 N at t = 1 s. The parameter values are M1 = M2 = 10 kg, B = 20 Ns/m, and Ki = K2 = 10 N/m. *4.10. Draw a Simulink diagram to represent the system shown in Example 4.4. Plot the first 10 seconds of the response...
Here we consider the two masses m1 and m2 connected this time by springs of stiffnesses...
Here we consider the two masses m1 and m2 connected this time by
springs of stiffnesses k1, k2 and k3 as shown in the figure below.
The movement of each of the 2 masses relative to its position of
static equilibrium is designated by x1(t) and x2(t).
1. Demonstrate that the differential equation whose unknown is
the displacement x1(t) is written as follows:
2. Determine the second differential equation whose unknown is
the displacement x2(t).
3. Determine the free oscillatory...
For the car suspension system shown below create the state-space representation equations. Plot the position of...
For the car suspension system shown below create the state-space
representation equations. Plot the position of the car and the
wheel after the car hits a “unit bump” (i.e., r is a unit step)
using MATLAB. Use MATLAB commands and also use MATLAB Simulink to
show state space block. Assume that m1=10kg, m2=250kg,
KW=500,000N/m, KS=10,000N/m. Find the value of b that you would
prefer if you were a passenger in the car. Show the simulation
results.
MATLAB. Use MATLAB commands...
2. (40 points) Keep 3 digits after decimal points A toy vehicle suspension system is given...
2. (40 points) Keep 3 digits after decimal points A toy vehicle suspension system is given as following. k1-10 N/m, k2- 50 N/m, mi 2 kg, m2 1 kg. Calculate a) Natural frequencies (10 points) b) Vectors ui and u2 (15 points) c) Given the initial condition x(0) [1, 0] and v(0) Car mas:s Car spring [1,0]T, calculate the free response of the system (15 points). k2 Tire stiffness Tire mass
If possible can you show step by step because I'm new in this subject X1(S) X2(S)...
If possible can you show step
by step because I'm new in this subject
X1(S) X2(S) Find the transfer function and for the mechanical system below F(S) F(S) K1 = 4 N/m X;(1) K2= 5 N/m -X2(1) 0000 0000 fv1 = 3 N-s/m M1 =1 kg|v2 = 3 N-s/m M2 = 2 kg Sva= 2 N-s/m HE
A quarter-car suspension model consisting of a spring and a damper is shown in Figure 1....
A quarter-car suspension model consisting of a spring and a damper is shown in Figure 1. An active suspension element produces an input force F. Draw a free-body diagram for the sprung mass m, and hence derive a differential equation relating the input force F to the sprung mass displacement x. (a) (5 marks) (b) Assuming a mass m-250kg, spring coefficient k 100Nm-1 and damping coefficient of c-50Nsm1, show that the transfer function from the input force F to the...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Mechanical vibration subject
3. a. Consider the system of Figure 3. If C1 = C2 = C3 = 0, develops the equation of motion and predict the mass and stiffness matrices. Note that setting k3 = 0 in your solution should result in the stiffness matrix given by [ky + kz -k2 kz b. constructs the characteristics equation from Question 3(a) for the case m1 = 9 kg, m2 = 1 kg, k1 = 24 N/m, k2 = 3 N/m,...
(40pts) The suspension system for one wheel of a pickup truck is illustrated in the following figure. The mass of the vehicle distributed on this wheel is mi and the mass of the wheel is m2. The suspension spring has a spring constant kı and the tire has a spring constant of k2. The damping constant of the shock absorber is b. Assume the truck's vertical displacement yi(t) is the output and the road surface profile x(t) is the input....
6. Consider two coupled oscillators of mass mi and m2 that are attached by springs and are unstretched when x,-12-0. The damping force viscous dampers. The springs is proportional to the speed of the displacement and acts in the direction opposite the motion, Fd--cv T1 k1 k2 m1 m2 C1 C2 C3 a) Find the equations of motion in and i2 b) Since the equations are coupled, write them in matrix form: ME+ CE+ K 0
6. Consider two coupled...
4.9. Draw a Simulink diagram to represent the system shown in Example 4.3. Plot x, and x2 for the first 50 seconds when the applied force fal increases from 0 to 10 N at t = 1 s. The parameter values are M1 = M2 = 10 kg, B = 20 Ns/m, and Ki = K2 = 10 N/m. *4.10. Draw a Simulink diagram to represent the system shown in Example 4.4. Plot the first 10 seconds of the response...
Here we consider the two masses m1 and m2 connected this time by
springs of stiffnesses k1, k2 and k3 as shown in the figure below.
The movement of each of the 2 masses relative to its position of
static equilibrium is designated by x1(t) and x2(t).
1. Demonstrate that the differential equation whose unknown is
the displacement x1(t) is written as follows:
2. Determine the second differential equation whose unknown is
the displacement x2(t).
3. Determine the free oscillatory...
For the car suspension system shown below create the state-space
representation equations. Plot the position of the car and the
wheel after the car hits a “unit bump” (i.e., r is a unit step)
using MATLAB. Use MATLAB commands and also use MATLAB Simulink to
show state space block. Assume that m1=10kg, m2=250kg,
KW=500,000N/m, KS=10,000N/m. Find the value of b that you would
prefer if you were a passenger in the car. Show the simulation
results.
MATLAB. Use MATLAB commands...
2. (40 points) Keep 3 digits after decimal points A toy vehicle suspension system is given as following. k1-10 N/m, k2- 50 N/m, mi 2 kg, m2 1 kg. Calculate a) Natural frequencies (10 points) b) Vectors ui and u2 (15 points) c) Given the initial condition x(0) [1, 0] and v(0) Car mas:s Car spring [1,0]T, calculate the free response of the system (15 points). k2 Tire stiffness Tire mass
If possible can you show step
by step because I'm new in this subject
X1(S) X2(S) Find the transfer function and for the mechanical system below F(S) F(S) K1 = 4 N/m X;(1) K2= 5 N/m -X2(1) 0000 0000 fv1 = 3 N-s/m M1 =1 kg|v2 = 3 N-s/m M2 = 2 kg Sva= 2 N-s/m HE
A quarter-car suspension model consisting of a spring and a damper is shown in Figure 1. An active suspension element produces an input force F. Draw a free-body diagram for the sprung mass m, and hence derive a differential equation relating the input force F to the sprung mass displacement x. (a) (5 marks) (b) Assuming a mass m-250kg, spring coefficient k 100Nm-1 and damping coefficient of c-50Nsm1, show that the transfer function from the input force F to the...
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