Calculate three natural frequencies of the system, MATLAB Programming

A three degree of freedom system is shown in Figure.  The three masses are each 1 kg and are constrained to move in the directions shown.   The three stiffnesses are   5 kN/m, 50 kN/m, and 500 kN/m as shown.

(a)  Use one and two degree of freedom approximations to estimate the three natural frequencies of the system in Hz. 

(b)  Write the equations of motion of the system using matrices.

(c)  Using MATLAB or otherwise, calculate the three natural frequencies of the system and the associated mode shapes normalised on the largest value.

(d)  Find the principal stiffnesses for the system using the normalised mode shapes.

 1644_normalised mode shapes.png

Posted Date: 3/13/2013 5:10:09 AM | Location : United States







Related Discussions:- Calculate three natural frequencies of the system, Assignment Help, Ask Question on Calculate three natural frequencies of the system, Get Answer, Expert's Help, Calculate three natural frequencies of the system Discussions

Write discussion on Calculate three natural frequencies of the system
Your posts are moderated
Related Questions
Format command: The format command can be used to control the spacing between the MATLAB command or expression and the outcome; it can be either compact or loose. >> format

Example of Variables and assignment statements: The expression is computed and then that value is stored in the variable. For illustration, this is the way it would appear in

Obtaining the Partial Fraction Expansion of the Z-Transform expression and to find its Inverse Z-Transforms using MATLAB

AApproximate the number to the hundredth, ten-thousandths, and one-hundredmillionth.sk question #Minimum 100 words accepted#

Write a Matlab function that computes y1= tan(x) and y2= sin(x)/cos(x), returns the difference |y1–y2| and prints a message whether the two are equal or not. Test your function for

Algorithms: Before writing any computer program, it is very useful to first outline the steps which will be essential. An algorithm is the series of steps required to solve a

design a rc phase shift oscillator for a particular frequency of oscillation and generate a sinusoidal signal

Use Taylor series to derive the form of the truncation error of the approximation Suppose f € C3. Given that the roundo error has the similar form as in the Forward D

The Efficient Method: Though, in MATLAB, there is another built-in function which specifically produces random integers, i.e. randint. Calling the function with randint (1,1,n

Answers should be submitted in an MS Word document. Simulations should accompany answers in a separate MATLAB file. 1)  Queuing Simulator: Consider a communications router that