Algunos errores numéricos en la respuesta del estado estable de sistemas mecánicos vibratorios

Abstract

In this work numerical simulation results are shown for the steady state response of linear mechanical oscillating systems and the numerical errors that can be present when some numerical algorithms are used to perform the simulations. For some numerical parameters, the mechanical oscillating system with or without damping response, does not converge to the expected steady state response; this discrepancy is not easily detected when the performance of the system is on the range of high excitation frequencies, due that for of high excitation frequencies the amplitude in the steady state response reaches very small values. We perform the time response of the system using conventionally numerical methods included in the common programming platforms, and the result is that using the same algorithm in different platforms the error is the same; selecting other numeric algorithm the result in satisfactory. Non linear forced mechanical vibration systems; behave like linear systems for some frequency range, then is very useful to obtain the right or correct responses in the steady state response for the linear system, this is fundamental for forward studies, the right analysis is based on the selected numeric algorithm.