Create a matlab script file, MATLAB Programming

Assignment Help:

Damped free vibrations can be modelled by considering a block of mass m that is attached to a spring and a dashpot as shown.

2474_Damped free vibrations.png

From Newton's second law of motion, the displacement x of the mass as a function of time can be determined by solving the differential equation:

2219_Damped free vibrations1.png

where k is the spring constant, and c is the damping coefficient of the dashpot. If the mass is displaced from its equilibrium position and then released, it will start oscillating back and forth. The nature of the oscillations depends on the size of the mass and the values of k and c.

(a) Create a MATLAB script file that calls for input of m, k, c, and xo. This file calls at least two functions i.e. function (b) that calculate x and v, and function (c) that animates the mass motion.

(b) Create a function M-file that calculates the displacement x and the velocity v of the mass, as function of time, t.

(c) Create another function M-file to create the animation of the mass motion.

(d) Demonstrate the program for two cases: 

(i) c = 3 N-s/m for 0 ≤ t ≤ 20s

(ii) c = 50 N-s/m for 0 ≤ t ≤ 10s

For the system shown in the figure m = 10kg, and k = 28 N/m. At time t = 0 the mass is  displaced to x = 0.18m, and then released from rest.

(e) Write a report describing your programs developed in (a), (b), and (c), and comment on your observation of the results from the two cases in (d).


Related Discussions:- Create a matlab script file

display in gui, how to display any words to the editto

how to display any words to the edittor

Calculate the bandwidth of this filter matlab, The purpose of this lab is ...

The purpose of this lab is to enhance the ECE311 student's understanding of filter behavior and filter design and to provide the student the opportunity to demonstrate skills in li

Create a function to generate a sinusoidal signal, Create a function using ...

Create a function using mat lab to generate a sinusoidal signal. The parameters of the signal should have an Amplitude = 100, frequency = 100Hz, initial phase = 0, sample rate = 50

Calculates the inverse of matrix by gauss-jordan elimination, Write a funct...

Write a function that solves a system of linear equations or calculates the inverse of a matrix by Gauss-Jordan elimination. Your function should accept a matrix as an argument and

Phase equilibrium, Do you have expert who can solve chemical engineering th...

Do you have expert who can solve chemical engineering thermodynamics chemical equilibrium MATLAB coding?

Stepper Motor Driven XY Table, can i post attachments of the assignment? an...

can i post attachments of the assignment? and you do them for me?

Error in variables statements, Error in variables statements: Error: T...

Error in variables statements: Error: The expression in the left of equals sign is not a valid target for an assignment. >>  By placing a semicolon at the end of the sta

Write a matlab script to calculate the frequency response, A band pass FIR ...

A band pass FIR filter is required to pass frequencies from 5KHz to 8KHz, using a sample rate of 40K i) Explain how this would map to normalization sampling frequencies in radia

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd