Teoria de sistemas vibratorios aporticados não-lineares e não-ideais
AUTOR(ES)
Jorge Luis Palacios Felix
DATA DE PUBLICAÇÃO
2002
RESUMO
This work concerns the computational and analytical study of the non-linear dynamic behavior of a portal frame, excited by a non-ideal source - an unbalanced direct current electric motor of limited power. A problem whose mathematical model represents a simplified system (the characteristic of the motor in stationary state) and complete (the electric equation of the motor is considered). Lagrange formularization for deducing the equations of motion, up to cubic nonlinear terms is followed. The values of the parameters are chosen to have one-to-two internal Resonance. The numerical solution is obtained through the use of the method of Runge-Kutta with variable step length by MATLAB@. The numerical and analytical results show good correlation, besides presenting some of the phenomena associated, observed, such as the Sommerfeld effect. Other phenomena, due to the geometric non-linear behavior of the structure, are also detected, such as modal saturation and energy transference between the modes. The self-synchronization phenomenon is a1so studied when two DC motors are considered. The implementation and performance of the saturation control for the suppression of vibrations of an ideal and non-ideal system is numerical studied by SIMULINK@
ASSUNTO(S)
teoria da aproximação sistemas de controle por realimentação teorias não-lineares motores eletricos de corrente continua vibração ressonante
