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Mechanical Engineering with Dr. Sanei
United States
เข้าร่วมเมื่อ 31 มี.ค. 2020
A series of lectures and examples for mechanical engineering topics from statics, dynamics to finite element analysis. It is most suitable for mechanical engineering students
Solving Differential Equations Using Laplace Transform Technique with Examples
Category of Differential Equations:
a. 𝐋𝐢𝐧𝐞𝐚𝐫 :Only contains linear functon of dependent variable
b. 𝐍𝐨𝐧𝐥𝐢𝐧𝐞𝐚𝐫
a. 𝐅𝐢𝐫𝐬𝐭 𝐨𝐫𝐝𝐞𝐫:indicates the highest derivative of the dependent variable
b. 𝐒𝐞𝐜𝐨𝐧𝐝 𝐨𝐫𝐝𝐞𝐫
a. 𝐎𝐫𝐝𝐢𝐧𝐚𝐫𝐲:The dependent variable is only function of one variable
b. 𝐏𝐚𝐫𝐭𝐢𝐚𝐥
a. 𝐇𝐨𝐦𝐨𝐠𝐞𝐧𝐞𝐨𝐮𝐬 : Does not contain isolated constant and isolated function of independent variable. b. 𝐍𝐨𝐧𝐡𝐨𝐦𝐨𝐠𝐞𝐧𝐞𝐨𝐮𝐬
Laplace Transform:
It simplifies the governing equation of the system.
The Laplace transform changes time-domain functions into the complex frequency domain (s-domain) which transforms differential equation to algebraic equation.
Laplace transformation is particularly useful in engineering and physics for analyzing systems that evolve over time, such as electrical circuits, mechanical systems, and control systems.
a. 𝐋𝐢𝐧𝐞𝐚𝐫 :Only contains linear functon of dependent variable
b. 𝐍𝐨𝐧𝐥𝐢𝐧𝐞𝐚𝐫
a. 𝐅𝐢𝐫𝐬𝐭 𝐨𝐫𝐝𝐞𝐫:indicates the highest derivative of the dependent variable
b. 𝐒𝐞𝐜𝐨𝐧𝐝 𝐨𝐫𝐝𝐞𝐫
a. 𝐎𝐫𝐝𝐢𝐧𝐚𝐫𝐲:The dependent variable is only function of one variable
b. 𝐏𝐚𝐫𝐭𝐢𝐚𝐥
a. 𝐇𝐨𝐦𝐨𝐠𝐞𝐧𝐞𝐨𝐮𝐬 : Does not contain isolated constant and isolated function of independent variable. b. 𝐍𝐨𝐧𝐡𝐨𝐦𝐨𝐠𝐞𝐧𝐞𝐨𝐮𝐬
Laplace Transform:
It simplifies the governing equation of the system.
The Laplace transform changes time-domain functions into the complex frequency domain (s-domain) which transforms differential equation to algebraic equation.
Laplace transformation is particularly useful in engineering and physics for analyzing systems that evolve over time, such as electrical circuits, mechanical systems, and control systems.
มุมมอง: 112
วีดีโอ
Power Screw Example 4: Finding the power required to move a 2.2 kip load at speed of 2 in/s
มุมมอง 51หลายเดือนก่อน
Power Screw Example 4: Find the power required to drive a 1.5-in power screw having double square threads with a pitch of ¼ in. The nut is to move at velocity of 2 in/s and move a load of F=2.2 kips. The frictional coefficients are 0.10 for the threads and 0.15 for the collar. The frictional diameter of the collar is 2.25 in.
Power Screw Example 3: Finding stresses on the body and threads of a power screw
มุมมอง 94หลายเดือนก่อน
Power Screw Example 3: A power screw with square threads is used to raise a load. The screw has a major diameter of 30 mm and a pitch of 4 mm with triple threads, If the coefficient of friction of collar and screw are both 𝑓=𝑓_𝑐=0.05, the collar diameter 𝑑_𝑐=50 mm and F=65 kN. a. Find the thread depth, thread width, pitch diameter, minor diameter and lead. b. What is the torque required to rais...
Power Screw Example 6: Finding the power required for running a press to generate 5000 lbf
มุมมอง 111หลายเดือนก่อน
The press shown has a rated load of 5000 lbf. The twin screws have Acme threads, a diameter of 2 in, and a pitch of ¼ inch. Coefficient of friction are 0.05 for the threads and 0.08 for the collar bearings. Collar diameters are 3.5 in. The gears have an efficiency of 95 % and a speed ratio of 60:1. The full motor speed is 1720 rev/min. When the motor is turned on, how fast will the screw head m...
Power Screw Example 5: Finding the axial load F and the combined efficiency of the screw and collar
มุมมอง 94หลายเดือนก่อน
A single square thread power screw has an input power of 3 kW at a speed of 1 rev/s. The screw has a diameter of 40 mm and pitch of 8 mm. The frictional coefficients are 0.14 for the threads and 0.09 for the collar, with a collar friction radius of 50 mm. Find the axial resisting load F and the combined efficiency of the screw and collar.
Power Screw Example 2: Handle Failure and Clamping Force Analysis in a ¾ in-10 Square Thread Clamp
มุมมอง 1202 หลายเดือนก่อน
For a ¾ in-10 square thread screw clamp shown, a force is applied at the end of the handle 3 ½ in from the screw centerline. The 3/8 in diameter handle is made of cold drawn AISI 1006 steel. What screw torque will cause the handle to bend permanently? What clamping force will such torque create if the collar friction is neglected and if the thread friction is 0.15?
Power Screw Example 1: Calculating Clamping Force for Square Thread Clamp based on the torque
มุมมอง 2692 หลายเดือนก่อน
If the clamp uses ¾ in-6 square thread. The frictional coefficients are 0.15 for the threads and for the collar. The collar has a friction diameter of 1 in. Calculations are to be based on a maximum force of 8lb applied to the handle at a radius of 3 ½ in from the screw centerline. Find the clamping force.
Stresses in Power Screws: Analysis of Torsion, Compression, and Thread Stresses
มุมมอง 1122 หลายเดือนก่อน
Stresses in Power Screws Stresses in the body of power screw A1. Shear Stress due to torsion A2. Compression stress due to the load Stresses in Threads B1. Bending stress at the root of thread B2. Shear stress in the middle of thread cross section B3. Bearing stress in threads Power screw thread is in compression, causing elastic shortening of screw thread pitch. Engaging nut is in tension, cau...
Understanding the mechanics of Power Screws: Applications, Mechanics, and Self-Locking Principles
มุมมอง 1762 หลายเดือนก่อน
Power screw Used to transmit power through threads Examples include vises, presses, jacks, lead screw on lathe Self Locking: If the lowering torque is negative, the load will lower itself by causing the screw to spin without any external effort. If the lowering torque is positive, the screw is self-locking. Self-locking condition is pi*f* dm larger than the lead angle Noting that l / p* dm = ta...
Example 2: Determining the Steady State response with (a) transfer functin and (b) with Bode Plots
มุมมอง 852 หลายเดือนก่อน
In this example, the format of outout is the same as input, just the magnitude and phase change. The frequency remains the same. We just need to find the change in magnitude and phase, we can do that with the use of transfer function as well as bode plot. Both methods are explored here. For a linear, time invariant systems, the frequency of input and output is the same and only there is a chang...
Example 1: Finding Steady State Response using frequency approach: Analysis of a Sinusoidal Input
มุมมอง 582 หลายเดือนก่อน
In this example, the format of outout is the same as input, just the magnitude and phase change. The frequency remains the same. We just need to find the change in magnitude and phase. For a linear, time invariant systems, the frequency of input and output is the same and only there is a change in magnitude and phase. To determine the change in magnitude and phase of output, replace 𝒔, with 𝒋𝝎 ...
Understanding Bode Plots: Frequency Response Analysis in LTI Systems Lecture
มุมมอง 522 หลายเดือนก่อน
For a linear, time invariant systems, the frequency of input and output is the same and only there is a change in magnitude and phase. To determine the change in magnitude and phase of output, replace 𝒔, with 𝒋𝝎 in transfer function. - The bode plot consists of Magnitude and phase plots. - Magnitude Plot: Shows the magnitude (or amplitude) of the system's output response with respect to a rangi...
Help with HW#3
มุมมอง 4245 หลายเดือนก่อน
A geared industrial roll shown in the figure is driven at 300 rev/min by a force F acting on a 3-in diameter pitch circle as shown. The roll exerts a normal force of 30 lbf/in of roll length on the material being pulled through. The material passes under the roll. The coefficient of friction is 0.4. The heat treated machined steel shaft has an ultimate strength of 𝑆𝑢t = 105 ksi and a yield stre...
Exercise 12: Finding the transfer function of system with resistor, capacitor and inductor
มุมมอง 2005 หลายเดือนก่อน
Exercise 12: Finding the transfer function of system with resistor, capacitor and inductor We are using KVL to perform mesh analysis. Kirchoff's Voltage law indicates that the voltage drop at each loop is zero. To find the transfer function, we need to find the ratio of output over input. The input for our system is E1-E2, and the output is the current #ElectricalSystems #OhmsLaw #KirchhoffsLaw...
Exercise 13: Perform mesh analysis of circuit shown below using Kirchoff's voltage law
มุมมอง 1095 หลายเดือนก่อน
We are using KVL to perform mesh analysis. Kirchoff's Voltage law indicates that the voltage drop at each loop is zero. We have three loops here, so there would be three equations, for each loop, we can define a corresponding current. Therefore, using three equations, the three unknown will be determined. #ElectricalSystems #OhmsLaw #KirchhoffsLaws #SystemDynamics #EngineeringEducation #Resisto...
Exercise 14: Finding the transfer function of electrical system with resistors and capacitors
มุมมอง 2995 หลายเดือนก่อน
Exercise 14: Finding the transfer function of electrical system with resistors and capacitors
Electrical Systems Overview: Ohm's Law & Kirchhoff's Laws for Resistors, Inductors, and Capacitors
มุมมอง 1445 หลายเดือนก่อน
Electrical Systems Overview: Ohm's Law & Kirchhoff's Laws for Resistors, Inductors, and Capacitors
Finding the deflection of a beam under distributed loading using integration method
มุมมอง 1105 หลายเดือนก่อน
Finding the deflection of a beam under distributed loading using integration method
Introduction to First Order Systems in Control: steady state response under step, impulse and ramp
มุมมอง 1265 หลายเดือนก่อน
Introduction to First Order Systems in Control: steady state response under step, impulse and ramp
Deflection of a beam under both distributed and point load using macaulay bracket (angle bracket)
มุมมอง 1345 หลายเดือนก่อน
Deflection of a beam under both distributed and point load using macaulay bracket (angle bracket)
Shaft design, deflection consideration, linear and angular deflection
มุมมอง 2225 หลายเดือนก่อน
Shaft design, deflection consideration, linear and angular deflection
Exercise 7: Finding the transfer function and the corresponding time constant of first order system
มุมมอง 1595 หลายเดือนก่อน
Exercise 7: Finding the transfer function and the corresponding time constant of first order system
Exercise 6: Will changing the input of first order system change the steady state or time constant?
มุมมอง 315 หลายเดือนก่อน
Exercise 6: Will changing the input of first order system change the steady state or time constant?
Exercise 5: Time response of a first order system under different initial conditions
มุมมอง 435 หลายเดือนก่อน
Exercise 5: Time response of a first order system under different initial conditions
Exercise 4: Steady state response of a first order system with a step function as input
มุมมอง 315 หลายเดือนก่อน
Exercise 4: Steady state response of a first order system with a step function as input
Exercise 3: First Order System practice to find the response of the system
มุมมอง 205 หลายเดือนก่อน
Exercise 3: First Order System practice to find the response of the system
Exercise 2: First Order System for finding the time constant
มุมมอง 975 หลายเดือนก่อน
Exercise 2: First Order System for finding the time constant
Real Talk: What I Earn as a Mechanical Engineering Professor
มุมมอง 1.1Kปีที่แล้ว
Real Talk: What I Earn as a Mechanical Engineering Professor