MATLAB PROGRAMMING

Using the eigenvalue method of calculation, create a MATLAB program to compute and print out

(using the MATLAB disp command) the following: a. Establish the mass and stiffness matrices. b. Use the Cholesky factorization to compute the mass normalized stiffness matrix, Khat. c. Compute the eigenvalues and eigenvectors of Khat using the built in functions in MATLAB d. Verify that the eigenvectors are orthonormal. e. Compute the mode shape vectors and verify that they are not orthonormal. Confirm that they agree with Figure 2 above. f. Verify that the matrix of eigenvectors satisfies the condition PT@P = I. g. Use the matrix of eigenvectors and Khat to compute the spectral matrix and confirm that the results match the eigenvalues.

t1 fil l. tal firestory franc tower MnKturc and (b) 5,DOf modcld yMcm The values of the individual DOF masses and stiffnesses are given in the table below Degree of Freedomm Mass (kg) Stiffness (N/m) 30 27 27 25 18 2010 1825 1615 1410 1205 4 t1 fil l. tal firestory franc tower MnKturc and (b) 5,DOf modcld yMcm The values of the individual DOF masses and stiffnesses are given in the table below Degree of Freedomm Mass (kg) Stiffness (N/m) 30 27 27 25 18 2010 1825 1615 1410 1205 4