Vibrations of a fluid conveying micro beam under mass-spring conditions

In this study, the vibrations of fluid conveying of micro - beam with mass - spring system were investigated. The equations of motion were obtained by using Hamilton Principle. Equation of motion was made dimensionless via dimensionless parameters. The method of multiple time scale that is a perturbation technique is applied to the equations of motion for approximated solutions. Stretching of the neutral axis, fill rate of the micro beam, fluid velocity, electrical forcing, natural frequency of effect on the solutions were investigated. If the force and internal force are of coincident or close to the frequency, undesirable increases in vibration amplitude may occur. For this reason, it is important to know the natural frequency values. The effects of system parameters on linear and nonlinear solutions were investigated. The forcing frequency; the basic parametric resonance state, the case where the frequency of the fluid velocity change is close to two times the natural frequency and the case where the frequency is close to zero were examined. The stability regions and the bifurcation points have been determined.