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Eigenvalues and Eigenvectors

Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results

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Page 1: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results

Eigenvalues and Eigenvectors

Page 2: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results

In structural dynamics we have to solve eigenfuction of The following form:

Page 3: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 4: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 5: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 6: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 7: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 8: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 9: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results

There are various methods like Schur's factorization, Jacobi's method etc for solving These problems. They are not too difficult but kinda involved. We will focus more on Simple approaches, and for more complicated matrices use the standard Matlab eigensolver.

Page 10: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 11: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 12: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 13: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 14: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 15: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 16: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 17: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 18: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 19: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 20: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 21: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 22: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 23: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 24: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 25: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 26: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 27: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 28: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 29: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 30: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 31: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 32: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 33: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results
Page 34: Eigenvalues and Eigenvectors - IIT Bombayminamdar/ce603/Notes/Eigen.pdf · In structural dynamics we have to solve eigenfuction of ... Show that buckling analysis of the beam results