Mechanical Vibrations II

Free and forced multidegree-of-freedom systems. Eigenvectors and eigenvalues and orthogonality of normal modes. Mode-summation method. Lagrange's Equations. Solution of forced vibrations by Laplace Transforms and numerical methods. Rayleigh's principle and approximate numerical techniques. Vibration of continuous systems: longitudinal and transverse vibration of beams; torsional vibrations, vibrating string.