%EA3-Fall 1999 % %%--------------------------------------------------------- %%DETERMINATION OF NORMAL MODES %%--------------------------------------------------------- clear all; close all; %Define Y (reduced set of state variables for second-order form) %Y(1) = rsp1 %Y(2) = rsp2 %Enter parameters of system K1 = 8e6; m2 = 50; K3 = 8e6; m5 = 800; %Enter B matrix (Ydotdot = BY -- second order form) B = [-(K1+K3)/m2 K3/m2; K3/m5 -K3/m5]; disp('The B-matrix is:'), disp(B) %calculate eigenvalues and eigenvectors [Evector,Evalue] = eig(B); disp('The Eigenvalues are:'), disp(diag(Evalue)') freq=sqrt(-diag(Evalue)); disp('The normal mode angular frequencies are:'), disp(freq') disp('The Eigenvectors are:'), disp(Evector)