Lab Report 1_EELE3314

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QUESTION 1 Consider a 2 DOF system shown below. X1 k₁ m1 F₁ k₂ X2 k3 m₂ F2 The modeshape can be written as (1))] What is x for the second modeshape? Use scientific notation with 3 significant digits and omit units. (eg. -0.123) Let m1 = 2, m2 = 2, k1 = 9, k2 = 8, and k3 = 8.

A liquid-level process control system is shown in Figure 5a and its closed loop representation is shown in Figure 5b. The system parameters are: A = 2 m², Rf = 15 s/m², H₁= 1 V/m, K₁ = 1 m³/sV, K₁ = 1. What are the values of Ti and when the undamped natural frequency WT = 0.01 rad/s? Answer should be supported with appropriate calculation steps. hul!) Pl hon Controller Control Valve K₁ Pressure transducer H₁ Figure 5a. Tank Area A Outlet valve Resistance R/\10 PI Controller Tank and valve Control valve H₁(s) Ha(s) E(s) U(s) V₁(8) K₁ K₁ R₁ 1+ARS Hm(s) Pressure tranducer H₁ Figure 5b. Ꮵ.

Please show all work for FBD and equatiosn

A X₁ RA P₁ X₂ P₂ 2 X3 X L 10 C ХА B RB 22 Z P₁ = 30kN; P₂ = 50kN; w= 10kN/m; L = 6m x₁ = 1m; x₂ = 2m; x3 = 3m; x = 5m Find RA and Rg, and draw SFD and BMD

KxM = Jö + bø - co where Ø denotes the angle of attack (output). M is the correction moment (input), K, is the moment gain, J is the moment of inertia along the rotation axis, b is the coefficient of Viscous friction, C is the coefficient of gravitational loading due to offset. J=7400kgm^2c=4670 Nm/rad, b=3550 Nms/rad, Kx =5000 Initial conditions are zero. Design a LEAD-LAG Controller such that the maximum overshoot is 12% and the settling time is 4 seconds and the steady state error is less than 0.3 when we implement unit step as the input. Clearly explain the necessary steps. Use a MATLAB Script for the controller design. Using MATLAB/Simulink, simulate the controller. Use a 2-input scope to plot the output and the step input. Show the Simulink model and its parameters. Make a sketch of the step input and system response Indicate the steady state error.

clear explanation please

- Consider the positions servomechanism is shown in figure below. Assume the following numerical values for the system constant are. Kp = gain of potentiometer detector = 7.64 v/ rad, Kb = back e. m. f. constant -5.5*10-2 V/rad/sec K₁ = motor torque constant = 6*10-5 Nm/A C₁ = 4*10-2 Nm/ (rad /sec). Determine the natural frequency and damping ratio of the system. Amp. % Ra= armature winding resistant =20, Ka=Gain of amplifier =10 Jm= 1*10-5 Kg.m². J₁=4.4*10-³ Kg.m² n = gear ratio=1/10, Neglect Cm and la constant 0050 N₁ DI

Hello Sir.Good Night I have a question related Machine Vibration Lesson. The following below is my question.Please advise, Thank you so much.

Problem 3: The RPH robot of Figure 3 is shown in its zero position. Determine the end- effector zero position configuration M, and the screw axes S; in {s}. n. F -inta. Sorowo- Zs {s} Xs L₁ ŷs Lo 0₁5 L2 02 {b} zb 103 pitch h = 0.1 m/rad Ấb ŷb L3 Figure 3: An RPH open chain shown at its zero position. All arrows along/about the joint axes are drawn in the positive direction (i.e., in the direction of increasing joint value). The pitch of the screw joint is 0.1 m/rad, i.e., it advances linearly by 0.1 m for every radian rotated. The link lengths are Lo = 4, L₁= 3, L2= 2, and L3= 1 (figure not drawn to scale).

The following EOMS describe the behavior of an electric motor attached to a torsional spring and damper: [Li + Rz + vb = Vin(t) IÖ = k0b0 + T Importantly, the equations are coupled by the fact that 7 = k₁z and v₂ = k₂0. Here, L, R, kv, I, k, b, and kt are constants. z is the current in the motor, and is the angular displacement of the motor (clearly then, is the motor's angular velocity). Finally, the input to the system is vin (t). Your tasks: A Substituting in the coupling terms (7 = k₁² and v = k„0) into the EOMs, write the state space form of the system x = Ax + Bu, assuming your states are 2₁=2, 22 = 0, and x3 = 0. Clearly identify your matrices. B Assume that the desired outputs of the system (to be measured) are the current z, the angle and the input Vin all as separate elements in the vector y. Write the output equation y = Cx + Du. Hint: D will NOT be zero in this case. Clearly identify your matrices Assume represen angular velocity and 9(s) to

The following EOMS describe the behavior of an electric motor attached to a torsional spring and damper: [Li + Rz + vb = Vin(t) IÖ= k0b0 + T Importantly, the equations are coupled by the fact that 7 = k₁z and v₂ = k₂0. Here, L, R, kv, I, k, b, and kt are constants. z is the current in the motor, and is the angular displacement of the motor (clearly then, is the motor's angular velocity). Finally, the input to the system is vin (t). Your tasks: A Substituting in the coupling terms (7 = ktz and v k0) into the EOMs, write the state space form of the system x = Ax + Bu, assuming your states are x₁ = z, x₂ = 0, and x3 = 0. Clearly identify your matrices. B Assume that the desired outputs of the system (to be measured) are the current z, the angle and the input Vin all as separate elements in the vector y. Write the output equation y = Cx + Du. Hint: D will NOT be zero in this case. Clearly identify your matrices C Assume there is no stiffness to the spring (k = 0). Using w(t) to represent…

Show the circuit diagram

3:17 AM ← Jonathan Wickert, Kemper Lewis - An Introduction to Mechanical Engineering-Cengage L... Figure P8.3 Problem P8.3 The disk in a computer hard drive spins at 7200 rpm (Figure P8.3). At the radius of 30 mm, a stream of data is magnetically written on the disk, and the spacing between data bits is 25 µm. Determine the number of bits per second that pass by the read/write head. 30 mm 7200 rpm BA um 4G+ 49%

%.VE I CLASS: 4th A 0: E 2_5361633277343... 1 Term Exam (2014-2015) Q1 The following block diagram represents the drying oven control system. The dynamic behavior of the oven can be represented by following differential equation: de (1) 10 +00(0) = v(1) di Calculate the following: a-Natural frequency, and damping ratio b-The response of the system to step change in 0,(t) of 20 C° E(s) 0. (s) V(s) 30 Oven 2 3+4. (50M) For the control system shown in figure find an expression for C(s) in terms of R₁(s) and R₂(s). R₁(s) 2 C(s) 5 Ra(s) (50M) Examiner FOUNDATION OF TECHNICAL EDUCATION COLLEGE OF TECHNOLOGY/KIRKUK Fuel & Energy ENG. DEP. CLASS 4 SUB.: Cont. & Measur DATE 3/6/2015 TIME:3 Hours / المجنح الامتحانية المركزية لسنة الدراسية. 2014-2015 Final Exam (2014-2011 A The following block diagram represents the PI control to a chemical process .The process is described by the following differential equation.:: dy(t) 2 + y(t) = 2v(t) dt Calculate the following: a-Natural frequency a, and…

1) A slider-crank mechanism is a planar mechanism that performs a conversion between the translational motion of a slider and the rotational motion of a crank. It is used in many different engineering applications. A familiar example will be a piston engine. In Figure 1, a basic slider- crank mechanism is shown. В b dạc Figure 1. A basic slider-crank mechanism 0< 0< 2n; b = 20 cm; I= 50 cm 1- Find the angle of Ø and the distance of dAC as a function of 0. 2- If crank AB has a rotational speed of w = 1000 rev/min; find velocity of C (Vc) and velocity and acceleration of link BC (vBC & aBC)

Design a digital lag compensator for the position control system below to meet thefollowing specifications:ess = 0.0062 in response to a unit ramp reference input, andMp ≤ 0.095 for a unit step reference input.

A NC machine tool table is powered by a servomotor, lead screw, and optical encoder. The lead screw has a pitch = 5.0 mm and is connected to the motor shaft with a gear ratio of 16:1 (16 turns of the motor for each turn of the lead screw). The optical encoder is connected directly to the lead screw and generates 200 pulses/rev of the lead screw. The table must move a distance = 100 mm at a feed rate = 500 mm/min. Determine (a) the pulse count received by the control system to verify that the table has moved exactly 100 mm; and (b) the pulse rate and (c) motor speed that correspond to the feed rate of 500 mm/min. Solve the problem assuming the optical encoder is directly coupled to the motor shaft rather than to the lead screw.