Numerical evaluation of dynamic response by time-stepping methods for integration of differential equations. The response during each step is calculated from the initial conditions (displacement and velocity) existing at the beginning of the step and from the history of loading during the step. The Matlab codes include the constant acceleration method, the central difference method, and Newmark's method.
Chopra, A. K. (1995). Dynamics of Structures: Theory and Applications to Earthquake Engineering. University of California at Berkeley, Prentice-Hall.
Clough, R. W., and Penzien, J. (1995). Dynamics of Structures. Computers & Structures, New York, 3rd ed.
Miguel, L. F. F. (2006). Introdução ao Estudo de Vibrações. Notas de Aula ENG03374 - Vibrações I. Porto Alegre, 1st ed.
Rao, S. S. (2010). Mechanical Vibrations. Pearson, 5th ed.