Vibration Analysis of Multi-Disk Multi-Profiled Shaft-Rotor Systems

Abstract

Cantilevered shaft-rotor systems consisting of multi disks and multi profiled shafts are considered. In this paper the procedures for the determination of the deflection, slope, shear force and bending moment at the extremities of the shaft are employed. Critical speeds or whirling frequency conditions are computed using transfer matrix method (TMM). For particular shaft-lengths, rotating speeds and shaft-profiles, the response of the system is determined for the establishment of the dynamic characteristics. A built-in shaft-rotor system consisting of two disks and two different profiled shafts is investigated for illustration purposes. Step response of the multi profiled shaft-rotor system is also found out.

Random vibrations in unmanned aerial vehicles, mathematical analysis and control methodology based on expectation and probability

“…where f Y; _ Y; t À Á represent the PDF of a random process Y t ð Þ and its derivative _ Y t ð Þ: By substituting equation (2) in equation 3and using the rule of integration (the rule of a product of an arbitrary function by the delta function), and then integrating equation 3with respect to the variable Y yields…”

“…1 The main rotor, engine and rechargeable battery power source are common sources of the undesired vibrations. 2 The responses of a sensitive electronic component mounted in UAV systems for pavement roughness, acoustic pressure and air disturbance are common sources of the random vibrations that have strong random characteristics. 3 This significant class of problems can cause the transition of the system from one stable state to the failure state.…”