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Find the state space representation of the following system. Show all work. m2 • m1 =...
4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg...
4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg ma1ke k-2 N/m . kN/m
4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg ma1ke k-2 N/m . kN/m
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,...
PROBLEM 1: The state-space representation of the inverter is the following (ignoring vs) 1 0(id The state-space represe...
PROBLEM 1: The state-space representation of the inverter is the following (ignoring vs) 1 0(id The state-space representation of the current controller is the following: -1 01 0q C1 Vtd Combine the plant and the controller to obtain the state-space representation of the closed-loop sys tem X c1 C2
PROBLEM 1: The state-space representation of the inverter is the following (ignoring vs) 1 0(id The state-space representation of the current controller is the following: -1 01 0q C1 Vtd Combine...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
(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....
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
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...
3. a) Find a state space representation for a linear system represented by the following differen...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
2. Find the state space representation of the system represented by the following transfer function: (s...
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
Please answer the questions for Part 1 and Part 2 showing all steps, using the provided...
Please answer the questions for Part 1 and Part 2 showing all
steps, using the provided data values.
Many thanks.
M2 2 C2 2' 2 2 C2 2'2 Spring steel Mi k1 C1 2'2 1 C1 Base y(t) Base movement Figure 2 shows a shear building with base motion. This building is modelled as a 2 DOF dynamic system where the variables of ml-3.95 kg, m2- 0.65 kg, kl-1200 N/m, k2- 68 N/m, cl- 0.40 Ns/m, c2- 0.70Ns/m The base...
4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg ma1ke k-2 N/m . kN/m
4. Solve for the transfer functions Y,is/Fis) and Y:ls)/Fis) y1lt) y2(t) ka kı k2 m2 C1 C2 m 2 kg ma1ke k-2 N/m . kN/m
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,...
PROBLEM 1: The state-space representation of the inverter is the following (ignoring vs) 1 0(id The state-space representation of the current controller is the following: -1 01 0q C1 Vtd Combine the plant and the controller to obtain the state-space representation of the closed-loop sys tem X c1 C2
PROBLEM 1: The state-space representation of the inverter is the following (ignoring vs) 1 0(id The state-space representation of the current controller is the following: -1 01 0q C1 Vtd Combine...
5. Consider the system below with m1 10 kg, m2-20 kg, b 20 N-s/m, k- 60 N/m and fas a step input of 10 N (a) Derive the transfer function of the system between fand z2. (b) Derive a state space representation of the system. (c) Use MATLAB to plot the output (z2 - z1) and (z2' - z1') m2
(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....
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
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...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
Please answer the questions for Part 1 and Part 2 showing all
steps, using the provided data values.
Many thanks.
M2 2 C2 2' 2 2 C2 2'2 Spring steel Mi k1 C1 2'2 1 C1 Base y(t) Base movement Figure 2 shows a shear building with base motion. This building is modelled as a 2 DOF dynamic system where the variables of ml-3.95 kg, m2- 0.65 kg, kl-1200 N/m, k2- 68 N/m, cl- 0.40 Ns/m, c2- 0.70Ns/m The base...
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