Consider the step response of the motion of a car. Use the following parameters: mass =...
Consider the step response of the motion of a car. Use the following parameters: mass = 800kg, drag coefficient = 225Ns/m, step input amplitude = 15000N. Using MATLAB, create a graph to illustrate the step response of the car. Annotate the graph to show the time constant and the steady state speed.
Homework Answers
The transfer function is given by:
steady state velocity=66.6 m/s
tau=3.55s
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Consider the step response of the motion of a car. Use the
following parameters: mass =...
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven b...
Use matlab for the following:
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit amplitude harmonic input mdx/dt+ cdx/dt + kx- Sin (wt) Use Matlab to simulate time response for ten well-chosen values of w for 3 different values of dimensionless damping factor : 0, between 0 and 1, larger than 1. Record and plot the steady state values of amplitude.
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit...
For the open loop response shown, find the ZN tuning parameters assuming that the step response...
For the open loop response shown, find the ZN tuning parameters assuming that the step response change is 10. pR 1.8 1.6 1.4 Assume step response amplitude change 10 A step response 10 1.2 0.8 0.6 APV 0.4 0.2 -0.2 0 1 23 4 5 7 Te d 11 13 15 17 19 From the process reaction curve determine the dead time, td, the time constant or time for the response to change, Tm, the ultimate value that the response...
Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-crui...
Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-cruise at constant altitude and velocity; thus, the thrust, drag, weight and lift forces balance each other in the x- and y directions. We will also assume that a change in pitch angle will not change the speed of the aircraft under any circumstance (unrealistic but simplifies the problem a bit). Under these assumptions the longitudinal equations of motion for the aircraft can be...
Please help me code in MATLAB Consider a car of mass M that varies according to...
Please help me code in MATLAB Consider a car of mass M that varies according to y, D sin (ot). The car is equipped with springs and shock absorbers and the vertical motion of the car is described by the following equation: d2y y(0)0 where M is the mass of the car (3000 lbm), y is the vertical displacement of the car in inches, t is the time in seconds, k is the spring constant (700 lbf/in), D is the...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
If the equation of motion of a small submarine is given by (m+200(0)-10 m/s, where fis...
If the equation of motion of a small submarine is given by (m+200(0)-10 m/s, where fis a function of time depends on other parameters. For f- 0, determine 1) The standard form of equation of motion. 2) The time constant in terms of mass m 3) The maximum mass (m) that brings the speed to 0.5 m/s within 60 s. Use Fig. I If the submarine mass is one-half of the maximum mass obtained in 3, and a constant force...
Consider the motion of a car around a banked curve. The angle of the bank with...
Consider the motion of a car around a banked curve. The angle of the bank with respect to the horizontal is 15.0 degrees, the speed of the car is 20.0 m/s, the radius of curvature for the curve is 30.0 m, and the coefficient of static friction is 0.500. The mass of the car is 1000 kg. a) What is the frictional force? b) Is there a speed at which the frictional force would be zero? If so, what is...
Consider a single degree of freedom (SDOF) with mass-spring-damper system
Consider a single degree of freedom (SDOF) with mass-spring-damper system subjected to harmonic excitation having the following characteristics: Mass, m = 850 kg; stiffness, k = 80 kN/m; damping constant, c = 2000 N.s/m, forcing function amplitude, f0 = 5 N; forcing frequency, ωt = 30 rad/s. (a) Calculate the steady-state response of the system and state whether the system is underdamped, critically damped, or overdamped. (b) What happen to the steady-state response when the damping is increased to 18000 N.s/m? (Hint: Determine...
Use matlab for the following:
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit amplitude harmonic input mdx/dt+ cdx/dt + kx- Sin (wt) Use Matlab to simulate time response for ten well-chosen values of w for 3 different values of dimensionless damping factor : 0, between 0 and 1, larger than 1. Record and plot the steady state values of amplitude.
Frequency Response of a mass-spring-dashpot system Consider a mass-spring-dashpot system driven by a unit...
For the open loop response shown, find the ZN tuning parameters assuming that the step response change is 10. pR 1.8 1.6 1.4 Assume step response amplitude change 10 A step response 10 1.2 0.8 0.6 APV 0.4 0.2 -0.2 0 1 23 4 5 7 Te d 11 13 15 17 19 From the process reaction curve determine the dead time, td, the time constant or time for the response to change, Tm, the ultimate value that the response...
Consider the aircraft model shown in Figure 1. We will assume that the aircraft is in steady-cruise at constant altitude and velocity; thus, the thrust, drag, weight and lift forces balance each other in the x- and y directions. We will also assume that a change in pitch angle will not change the speed of the aircraft under any circumstance (unrealistic but simplifies the problem a bit). Under these assumptions the longitudinal equations of motion for the aircraft can be...
Please help me code in MATLAB Consider a car of mass M that varies according to y, D sin (ot). The car is equipped with springs and shock absorbers and the vertical motion of the car is described by the following equation: d2y y(0)0 where M is the mass of the car (3000 lbm), y is the vertical displacement of the car in inches, t is the time in seconds, k is the spring constant (700 lbf/in), D is the...
3. Consider the following mass-spring-damper system. Let m= 1 kg, b = 10 Ns/m, and k = 20 N/m. b m F k a) Derive the open-loop transfer function X(S) F(s) Plot the step response using matlab. b) Derive the closed-loop transfer function with P-controller with Kp = 300. Plot the step response using matlab. c) Derive the closed-loop transfer function with PD-controller with Ky and Ka = 10. Plot the step response using matlab. d) Derive the closed-loop transfer...
Question 4: Consider the following system: 0.01 a) Describe the response to a unit step input for K 0.01 and K-0.1 and determine the value of K for a non-oscillatory minimum response time. b) If we let K-1, what will be the value of the steady state error of this system in response to a unit step input? c) If we now replace the "proportional controller" (the box with the K in it) with a proportional integral (PI) controller, with...
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...
If the equation of motion of a small submarine is given by (m+200(0)-10 m/s, where fis a function of time depends on other parameters. For f- 0, determine 1) The standard form of equation of motion. 2) The time constant in terms of mass m 3) The maximum mass (m) that brings the speed to 0.5 m/s within 60 s. Use Fig. I If the submarine mass is one-half of the maximum mass obtained in 3, and a constant force...
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