Dissertação
Uso da base dinâmica em um sistema de duas vigas acopladas
Fecha
2013-08-26Registro en:
SEIBEL, Aline Brum. USING THE DYNAMIC BASIS IN A TWO BEAMS COUPLED SYSTEM. 2013. 86 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Santa Maria, Santa Maria, 2013.
Autor
Seibel, Aline Brum
Institución
Resumen
This work researches on free and forced vibrations of a double beam coupled system. The
system is regarded as two Euler-Bernoulli beams which are parallel, have the same length,
are simply supported and are connected through a viscoelastic layer. Natural frequencies
and their mode shapes, also called eigenfunctions, of the coupled system are obtained
through a uniform beam methodology which uses the free dynamical basis to represent
the solution of the the modal equation. This study uses modal analysis and block matrix
formulation, while the dynamical basis used to represent the modal solution is obtained
from the dynamical solution of a fourth order differential equation whose coefficients
are just those of the original problem. The natural frequencies and mode shapes of the
undamped system are determined for several values of beam parameters. For the damped
case, damping ratios of each beam and also of the viscoelastic layer (which characterizes
the coupling the system) are considered. The forced response is represented using matrix
impulse response, which is the solution of an initial value problem with impulsive initial
conditions.