Homework Answers
For detailed solution refer to the image uploaded. First we simplify each block. Then drew the diagram. Finally calculate the transfer function
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3.3 Consider the positional servomechanism shown in Fig. P3.3. Assume that the input to the system...
Problem-5 (20 pts): Consider the DC servo motor shown in Figure-5. Assume that the input of the s...
Problem-5 (20 pts): Consider the DC servo motor shown in Figure-5. Assume that the input of the system is the applied armature voltage ea and the output is the load shaft position θ2. Assume also the following numerical values for the components: Ra-) Armature winding resistance = 0.2Ω La → Armature winding inductance = 0.1 mH Kb-) Back emf constant 0.05 Vs/rad K > Motor torque constant 0.06 Nm/A Jr Moment of inertia of the rotor of the motor =...
system modelling please help
The elevator system given in the figure moves up and down with a velocity of v=1 m/sec. As the elevator starts to move, it reaches to its steady state angular velocity in 1 seconds. It is known that all the friction effects within the system are neglected. The other information related with the system are given as below: Mass moment of inertia about motor shaft M-M : JM=1.25 kgm2 Mass moment of inertia about the elevator shaft K-K : JK=1...
The simplified diagram of a DC motor is shown in Fig. 4. Assume that the rotor has inertia m J an...
The simplified diagram of a DC motor is shown in Fig. 4. Assume
that the rotor has inertia m J and viscous friction coefficient Bm.
The torque developed by the motor is assumed to be related linearly
to the field current by , m m f T K i where the motor torque
constant m f a K K K I 1 when the armature current a i is assumed
constant (i.e. ) a a i I...
1. Consider a schematic diagram of the permanent magnet brushed DC motor used in Quanser system...
1. Consider a schematic diagram of the permanent magnet brushed DC motor used in Quanser system with two inertia loads (Jh and J4) and no viscous damping as shown in Fig. 2-1.. Since there is no gear system, motor shaft angular position and velocity, 0m, and wm, respectively, are equal to disc load angular position and velocity 0, and w, respectively. Derive electrical and mechanical differential equations describing this DC motor dynamics, as well as the relationship between motor torque...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is V. (source voltage). The motor has an electrical constant Ke, a torque constant K, an armature inductance Lg and a resistance R. The rotor, shaft and disk together have inertia J and a viscous friction coefficient B. The disk has a radius ofr. (For the motor, assume that the torque is T = Ki,, and the back EMF is emf = KO). a. Derive...
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
Problem-5 (20 pts): Consider the DC servo motor shown in Figure-5. Assume that the input of the system is the applied armature voltage ea and the output is the load shaft position θ2. Assume also the following numerical values for the components: Ra-) Armature winding resistance = 0.2Ω La → Armature winding inductance = 0.1 mH Kb-) Back emf constant 0.05 Vs/rad K > Motor torque constant 0.06 Nm/A Jr Moment of inertia of the rotor of the motor =...
The simplified diagram of a DC motor is shown in Fig. 4. Assume
that the rotor has inertia m J and viscous friction coefficient Bm.
The torque developed by the motor is assumed to be related linearly
to the field current by , m m f T K i where the motor torque
constant m f a K K K I 1 when the armature current a i is assumed
constant (i.e. ) a a i I...
1. Consider a schematic diagram of the permanent magnet brushed DC motor used in Quanser system with two inertia loads (Jh and J4) and no viscous damping as shown in Fig. 2-1.. Since there is no gear system, motor shaft angular position and velocity, 0m, and wm, respectively, are equal to disc load angular position and velocity 0, and w, respectively. Derive electrical and mechanical differential equations describing this DC motor dynamics, as well as the relationship between motor torque...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Consider the system given below. The output is y(displacement from equilibrium position) and the input is V. (source voltage). The motor has an electrical constant Ke, a torque constant K, an armature inductance Lg and a resistance R. The rotor, shaft and disk together have inertia J and a viscous friction coefficient B. The disk has a radius ofr. (For the motor, assume that the torque is T = Ki,, and the back EMF is emf = KO). a. Derive...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
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