Choose constants to minimize quotient. This leads to Ritz eigenvalue problem. Get upper bounds for exact eigenvalues of structure. Eigenvalue problem defined with dynamical matrix . The iteration scheme.
Process produces a vector proportional to first normal mode.
Ratio of the same nonzero component from consecutive iterated vectors converges to fundamental frequency. To compute other eigenvalues and modes, define and iterate with deflated matrix . Three story building example. Kinetic and potential energies in terms of nodal displacements and velocities. Application of Lagrange's equations in the nodal displacements.