Application Of Differential Equations To Non Damped Vibrations With Harmonic Excitation
Abstract
The present job shows the method to determine the response of a mass-spring system subjected to a non damped forced vibration, in the first part the equation of movement that governs the system is determined by the application of Newton's laws of motion , then the differential equation is solved using its characteristic equation; also, this job shows Laplace's method of transforming to solve differential equations and a phenomenon that can occur in the study of non damped vibrations with harmonic excitation called resonance.
Downloads
References
Rao y S. S, Vibraciones Mecánicas, Quinta ed., México: Pearson Education, 2012.
D. G. Zill y M. R. Cullen, ECUACIONES DIFERENCIALES con problemas con valores en la frontera, 7 ed., México: Cengage Learning, 2009.
C. H. Edwards y D. E. Penney, Ecuaciones diferenciales Y problemas con valor en la frontera, 4 ed., México: Pearson Educación, 2009.
W. E. Boyce y R. C. DiDrima, Elementary Differential Equations and Boundary Value Problems, 10 ed., United States of America: Wiley, 2012.
W. J. Bottega, Vibrations Engineering, New York: Tylor and Francis, 2006.
