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Using the force-voltage analogy shown in table 1, obtain a mechanical analogu electrical system shown above...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,...
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,. The torque and back-EMF constants of the motor are Ko K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is 1- (not shown), and the motor inductance is negligible. The motor load is an inertia J with compliance (stiffness) K and viscous friction coefficient b, and it is attached a gear pair...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V,...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
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 =...
Control Lab
Obtain the Simulink diagram of position control system shown in figure 1 and run the simulation. Assume the following numerical values for system constants:r = angular displacement of reference input shaft, radiansc = angular displacement of the output shaft, radiansθ = angular displacement of the motor shaft, radiansk1 = gain of the potentiometer error detector = 24/π volt/radkp = amplifier gain = 10 volt/voltea = applied armature voltage, volteb = back emf, voltRa = armature resistance, ohmsLa = armature winding...
01- (08 Pts) Figure below is a diagram of a DC motor connected in parallel to...
01- (08 Pts) Figure below is a diagram of a DC motor connected in parallel to a current source is the torque and back-EMF constants of the motor are K. K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is I. (not shown), and the motor inductance is negligible. The motor load is an inertia compliance (stiffness) K and viscous friction coefficient b, and it is attached to the motor via a gear...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial to examine the electrical and mechanical components independently. Looking at only the electrical components of the QUBE-Servo DC motor (as shown in Figure 3.2): R v00 C e, (00 Figure 3.2: Electrical curcuit of the QUBE-Servo DC motor Q1. Write the differential equation in the form of Kirchoff's voltage law) in the Laplace domain for the electrical circuit (do not use parameter values given...
Draw the diagram for the unity feedback control system, that is, the electro-mechanical system wi...
Draw the diagram for the unity feedback control system, that is, the electro-mechanical system with controller and feedback using general parameters. 3) 4) Calculate K and K using the Torque-Speed curve (Figure 2), and information from Table 1 the translational link. The robot has an torque motor for a joint in Flgure1 ropresents a Single Joint robot model wnh Figure 1: Singla Joint Robot Model TONm) 恭.east Figure 2: Torque-Speed Qurve J Ikgm21-Armature Inertia DArmature Damping Coefficient R, [ohm]-Armature Resistance...
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armat...
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vb represents the back-emf which is proportional to dθ/dt via K. The torque T generated by the motor is proportional to the i via a constant K. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is B 1. pur voltaop a. A. (10 pts) Find the...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with an electrical circuit. The motor shows up in the circuit equation as a voltage loss proportional to the motor speed, and the electrical system shows up as the input torque proportional to the armatura current DC motor equations are given by dw(t) dialt) where J is the mass moment of inertia in kg-m2, b is the damping coefficient in N-m-s, K is the motor...
2. (a) Derive the mathematical model for the system shown; no need to simplify. (b) Draw the electrical circuit analogous to this system. 2 2. Circuit with Voltage Source Inductance (L) Capacitance (1/C) Resistance (R) Charge (4) Voltage (v) Current (i) Mechanical System Mass (m) Stiffness (k) Viscous damper (c) Displacement (x) Force () Velocity (ä)
Q 1- 08 Pts) Figure below is a diagram of a DC motor connected in parnllel to a current source i,. The torque and back-EMF constants of the motor are Ko K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is 1- (not shown), and the motor inductance is negligible. The motor load is an inertia J with compliance (stiffness) K and viscous friction coefficient b, and it is attached a gear pair...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
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 =...
01- (08 Pts) Figure below is a diagram of a DC motor connected in parallel to a current source is the torque and back-EMF constants of the motor are K. K respectively, the motor resistance is R, also modeled as connected in parallel, the motor inertia is I. (not shown), and the motor inductance is negligible. The motor load is an inertia compliance (stiffness) K and viscous friction coefficient b, and it is attached to the motor via a gear...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial to examine the electrical and mechanical components independently. Looking at only the electrical components of the QUBE-Servo DC motor (as shown in Figure 3.2): R v00 C e, (00 Figure 3.2: Electrical curcuit of the QUBE-Servo DC motor Q1. Write the differential equation in the form of Kirchoff's voltage law) in the Laplace domain for the electrical circuit (do not use parameter values given...
Draw the diagram for the unity feedback control system, that is, the electro-mechanical system with controller and feedback using general parameters. 3) 4) Calculate K and K using the Torque-Speed curve (Figure 2), and information from Table 1 the translational link. The robot has an torque motor for a joint in Flgure1 ropresents a Single Joint robot model wnh Figure 1: Singla Joint Robot Model TONm) 恭.east Figure 2: Torque-Speed Qurve J Ikgm21-Armature Inertia DArmature Damping Coefficient R, [ohm]-Armature Resistance...
(30 pts) A D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vb represents the back-emf which is proportional to dθ/dt via K. The torque T generated by the motor is proportional to the i via a constant K. The inertia J represents the combined inertia of the motor and load. The viscous friction acting on the output shaft is B 1. pur voltaop a. A. (10 pts) Find the...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with an electrical circuit. The motor shows up in the circuit equation as a voltage loss proportional to the motor speed, and the electrical system shows up as the input torque proportional to the armatura current DC motor equations are given by dw(t) dialt) where J is the mass moment of inertia in kg-m2, b is the damping coefficient in N-m-s, K is the motor...
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