Elastic stiffness of a shaft segment, MATLAB Programming

The natural frequencies of a fixed-fixed uniform shaft made of homogeneous material undergoing longitudinal vibration is given by 1939_Torsional motion.png rad/s, where L is the length of the bar, G is the shear modulus, ρ is the density and i is the mode number (i=1,2,3...). The corresponding mode is sin (iΠx/L). You do not need to prove this. Obtain approximations to the first three natural frequencies( within 0.1% of the exact solution) by modelling the shaft as a series of coil springs of torsional stiffness and thin rotors with moments of inertia. Discuss your findings. Plot the first three modes and compare with the exact modes. You will need to write a MATLAB code to obtain these results.  The elastic stiffness of a shaft segment of length L/n is given by nGJ/L. Present results in terms of non-dimensional frequency parameter 1939_Torsional motion.png. For convenience, take J as unity, although the value of J will not affect the non-dimensional frequencies.

661_Torsional motion1.png

Posted Date: 2/15/2013 6:39:12 AM | Location : United States







Related Discussions:- Elastic stiffness of a shaft segment, Assignment Help, Ask Question on Elastic stiffness of a shaft segment, Get Answer, Expert's Help, Elastic stiffness of a shaft segment Discussions

Write discussion on Elastic stiffness of a shaft segment
Your posts are moderated
Related Questions
Calling a Function: Here is an illustration of the call to this function in which value returned is stored in the default variable ans: >> calcarea(4) ans = 50.2655

Simple Related Plot Functions: The other functions which are useful in customizing plots are the figure, clf, hold, leg-end, and grid. The short description of such functions

Generates sin or cos wave using plot functions: The script generates an x vector; iterating through all the values from 0 to 2*π in steps of 2*π /40 gives sufficient points to

Need help with creating functions in matlab.

using newton divided diference formula find f(15) and f (8)

Illustration  of assignment statements: At that point, if the expression mynum 3 is entered, the default variable ans is used as the result of this expression is not assigned

1. Enter the 3×4 matrix Let a ij denote the entry of A in the ith row and jth column. Use Matlab to compute the following : (a) a 13 + a 32 (b) Three times the


Customizing a Plot: Line Types, Color, Marker Types: Plots can be completed in the Command Window, if they are really simple. Though, at many times it is desirable to customiz

Implement a single-layer perceptron and train it to translate the digital letters given in the file "pattern1" into the corresponding ASCII representation. Plot a training curve an