Lab Report 1_EELE3314

2 Find frequenciel and mode shapes Ic of the two 9/ian systems, assumiing m=z ton/m (b) d=らm hz 3m E =210000 o kestlat 1 = 80Đ Cnt ca)

Based on the pic attached, If component B of #6 is changed to 3 parallel components and each has thesame reliability, what is the system reliability now? pls provide celaar solutions detailed thanks

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.

H-W Find Time response for 2S+3 Yes)= s° (s+3)

2. The equation of motion for a damped multidegree of freedom system is given by Where [m] = [m]{x} + [c]{x} + [k]{x} = {f} [100 = 0 0 0 10 0 10. 1000-4 {f} [c] 8 –4 0 8 – 4 -4 4 0 8 4 = 100 2 0 = Focos(wt) -2 -2 The value of Fo 50N and w 50 rad/sec. Assuming the initial conditions to be zero and using the modal coordinate approach, find out the steady state solution of the system in the modal coordinate for first mode. Plot the steady state solution using the computational tools. 0 −2], [k] = = 2

H.w 2: The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is dw 20 = (0.02) + (0.06)w. dt If the initial speed is zero (w(0) = 0) ,and using the Runge-Kutta 4th order method, what is the speed at t = 0.8s? Assume a step size of h = 0.4s.

Q1: (Section A) Considering single degree undamped vibration system and Newton's equation as follow: më +kx=0; find the solution of the displacement equation [(t)=Cietwnt+C2e-lwn] for the case with: Wn = 2 rad/s, x (0) = 1 mm, and x(0) = v5 mm/s. (Section B) Given the matrix equation of motion of a two degree-of-freedom system 3m 2k - k = 0 X2 + as: -k 4k m Determine (a) the natural frequencies, (b) the modes shapes.

Develop MATLAB code to model Qacm with a fixed outlet temp of T= 870K. Optimizing components

Q.11 - 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 K; = motor torque constant = 6*10–5 Nm/A C = 4*10-2 Nm/ (rad /sec). Determine the natural frequency and damping ratio of the system. Ra = armature winding resistant =2 2, Ka=Gain of amplifier = 10 Jm = 1*10-5 Kg.m2. J =4.4*103 Kg.m2 n = gear ratio=1/10, Neglect Cm and la Amp. %₂ ဦးအောင်မျိုာနစ် နှစ် DH 0050 constant N₁

- 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

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

Given the torsional system shown below actuated by a step input torc T(t): TO) 00) lll fro> K D 1- Write first the equation of motion, and then: 2- for K=2 N.m/rad, find J and D to yield 15% overshoot and a 2% settling time of 5 seconds, and then calculate the resultant natural frequency and damping ratio. 3- for K=2 N.m/rad, find J and D to yield a peak time of 2 seconds and a 2% settling time of 10 seconds, and then calculate the resultant natural frequency and damping ratio. 4- for D=1 N.m.s/rad, find K and J to yield 20% overshoot and a peak time of 2 seconds, and then calculate the resultant natural frequency and damping ratio. 5- for J=0.5 kg.m², find K and D to yield 5% overshoot and a peak time of 1 second, and then calculate the resultant natural frequency and damping ratio.

P:- Solve the System of Linear algebroie EXuation G.E-H. X- y +7-2 W = -1 - 2K+2y-7+2w = 3 3X -3y +27-4e k! = -4 -4X +4y=3Z+6w = 5 %3D

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…

You are tasked to enhance the performance of an analog plant using a digital controller PID. The controller is in connected in series with the plant in a closed-loop configuration. The pulse transfer K(z+a) function is given as GzohGp(s) =- Use sampling time Ts=0.6 second, K=8, a=0.78, b=-0.602 (0+z)(q+z) and c=-0.705. Do the following: i. Obtain the design point in z-coordinates to achieve the requirement of having a system settling time of 3 second, and damping ratio of zeta (z=0.705).

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%

estion 1 The step resolution of a stepper motor is set for 1024 steps per revolution, Find the frequency to rotate at 60 rpm. (Give your answer in Hertz, put only numeric value) Question 3 A proportional valve is handled by an PWM signal Question 4 The speed of a stepper motor is controlled by Question 5 The relay is driven by an analog signal Question 6 Determine the output voltage from a PWM pin when the time ON is 25 ms and the frequency is 1kHz and Vcc-SV. (Put only a number in Volt, no need to add the unit word)

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)

8.) The linkage below: link I is ground, AB is link 2 BC is link 3, slider is link 4. IC 34 is @ what point? E B •IF A

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.

O %t. l a O 11:70:£0 docs.google.com/forms äbäi 30 For a damped one DOF system where m, c, and k are shown below: (a) k = 10 N/m, m = 1O kg, c = 10 kg/s, (b) k = 2.5 N/m, m = 10 kg, c = 10 kg/s, (c) k = 1 N/m, m = 10 kg, c = 10 kg/s. Calculate for each case the value of natural frequency in rad/sec; time of period in sec3; critical damping coefficient, damping ratio; Are these systems overdamped, underdamped, or critically * ?damped اكتب المطلوب من السؤال فقط بدون ذکر التفاصيل )النواتج المطلوبة فقط(. 30 درجة إجابتك صفحة 3 من 4 التالي رجوع عدم إرسال كلمات المرور عبر نماذج Go ogle مطلقا. تم إنشاء هذا النموذج داخل STU. الإبلاغ عن إساءة الاستخدام

Question 3 Find the natural frequency (in rad/sec) of the system in In the figure below: Use: m1= 5 kg, k1 = 53 N/m, k2 65 N/m and k3 18 N/m Write your answer to FOUR significant figures. Don't write the units X1 X2 k1 k2 k3 W ww m1

The Figure below shows a sixbar linkage with 02B = 1, BD = 2, DC = 4, DO, = 3, and h = 1.3 in. Use analytical method to find the m3, a3, Ac , Ap, a6 if wz is a constant 1 rad/sec CCW. Vp-0.6 in/sec, Vslip-0.75 in/sec, ApBslip=1.03 in/sec? 6. 06 B 4 3 45° 02

Consider two robot-manipulators:• A SCARA robot with joints displacement range q1,2 = −90◦...90◦ and q3 = 0..10cm and links lengths L1,2=10 cm.• A Cartesian robot with joint displacements’ range q1,2,3 = 0..10 cm.Which statement is correct?1) The Cartesian robot has a larger workspace.2) It is not possible to judge the workspace based on the information provided.3) Both robots have revolute joints.4) The SCARA robot has a larger workspace.

The response of a system 1s given by x(t) = 0.003 Cos Böt +0.0045in 30t m. Defermine the amplitude Og motion, the frequency in Hz, the frequency in rad/s, the frequency n rpm, the phase angle and the responce in the form of x(t)= Asn(wk tp) og mction, the period

need in s domain

An experiment was carried out on a SDOF system to estimate the natural frequency and damping. The time history plotted below has the response in centimetres and the time in seconds, as shown in Figure Q10 below. Estimate values for the following and choose the nearest values from the list given below: the damped natural frequency in Hz; the damping ratio using the logarithmic decrement method; and the natural frequency in rad/s. Ju(t) 2.00 AMA 1.00 0.00 0.00 Figure Q10 0.80 1.60 Select one or more: O a. 4.92 b. 0.781 c. 0.625 O d. 0.330 O e. 0.052 2.40 3.20 4.00 t