Mass and stiffness matrices, MATLAB Programming

Model the three degree of freedom system shown in Figure Q5 and solve for the displacements of the three masses due to a force of 10 N applied to the bottom mass at a frequency of 20 rad/s.

(a) First establish the 3x3 mass, stiffness and damping matrices.

(b) Use the mass and stiffness matrices to evaluate the three undamped natural frequencies of the system and associated mode shapes. The mode shapes must be normalised so that the largest value in the vector is 1. (It is recommended that you use MATLAB for this analysis.)

(c) Use the mode shapes to find the principal masses, principal stiffnesses, and damping factors for the three modes.

(d) Hence find the response of the three masses by modal superposition, i.e. the displacement amplitudes.

2337_displacement amplitudes.png

Posted Date: 3/13/2013 5:34:52 AM | Location : United States







Related Discussions:- Mass and stiffness matrices, Assignment Help, Ask Question on Mass and stiffness matrices, Get Answer, Expert's Help, Mass and stiffness matrices Discussions

Write discussion on Mass and stiffness matrices
Your posts are moderated
Related Questions
how can i model this eqn: solve n plot x vs v x^3-2x^2+x=v^2(.532*10^-3) by putting v=0 to 20 and find the change in x

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

Problem: A function is given by Y= 2x3 + 3 x2 -12x + 5 a determine the finite values of x at which any local maximum of minimum occur and determine the corresponding val

what are data collect this topic,how i can create algorithm in mat lab what language support easy to this topic


Matrices of random numbers: The Matrices of random numbers can be generated using the rand and randint functions. The first two arguments in the randint function identify the

what is matlab

Illustration of a built-in function: The length function is an illustration of a built-in function which computes a single value; it returns the length of a vector. As an illu


1;write a matlab of geuss elimination with scaling and pivoting under consideration?