Create a matlab script file, MATLAB Programming

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).

Posted Date: 3/19/2013 2:38:23 AM | Location : United States







Related Discussions:- Create a matlab script file, Assignment Help, Ask Question on Create a matlab script file, Get Answer, Expert's Help, Create a matlab script file Discussions

Write discussion on Create a matlab script file
Your posts are moderated
Related Questions
can we use regression in bioinformatics toolbox?

logical operators: The logical operators are as shown below: All the logical operators operate on Boolean or logical operands. The not operator is a unary operator; wh

hey ! why the command sawtooth and square does not exist in Matlab R2012a?

1. Design a suitable phase-lead controller. You should explain in detail how your design has been developed. Your solution should include Bode plots constructed both manually and

Write a pseudo-code showing the list of steps to take for solving the given problem. In this process, you should identify the functions that are to be used in the program. Develop

Objectives In the following exercises, students are required ?rstly to implement code to determine the frequency components present in a signal, and then to extract a desired si

Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) through a channel a ected by multipath and Doppler. Let there be two paths, and assume the sinusoid is being sent fro


Use an expression for the far-field radiation from a plane circular piston to create a more accurate model of a column loudspeaker system - you will need to calculate individual so

Temperature readings were done every hour (starting at 1 P.M., but the end time could vary) and stored in a vector called readings. Write a function called halffit that receives th