Inertial Forces Acting on a Propeller of Aircraft

Abstract

Background:Aerospace vehicles use propellers with the different design that possess gyroscopic properties. Recent investigations in the area of gyroscope theory have demonstrated that the gyroscope properties are based on the action of the centrifugal, common inertial, and Coriolis forces of the distributed mass elements of the spinning rotor, as well as the change in the angular momentum.Objective:The combined action of the interrelated inertial forces on the propellers presents the interests for the design of the blades. The objective of the manuscript is the derivation of mathematical models for the inertial torques acting on the spinning propellers that enable computing the stresses of the blades and increasing their reliability.Method:The inertial torques generated by the masses of the rotating blades acting on the propellers are represented by mathematical models in L. Euler’s form.Results:The inertial torques are generated by the several inertial forces of the propeller’s blades and hub and manifested the fluctuation of the variable resistance and precession torques acting around different axes of the propeller. Derived mathematical models for the inertial torques are new and should be used for the computing forces and stresses acting on the propellers of the aircraft.Conclusion:The mathematical models for the torques acting on the propellers consider the several inertial forces of the rotating masses that manifest their gyroscope properties. Derived mathematical models for inertial torques enable for computing the stresses of the aircraft propellers and clearly demonstrate the physical principles and origin of the acting inertial forces.

The effect of gyroscopic force on the life of the uav’s propeller shaft bearing under intense acrobatic movements

“…The change in the speed vectors adverts to the accelerated motions of the rotating propeller mass that generate their inertial and gyroscopic forces f in and the inertial torque T in acting around axis oy that is expressed by the equation ( 1) [1]. Inertial and gyroscopic forces acting on propeller, torques and motions of the propeller have shown in the fig.…”

“…The resistance torque generated by the Coriolis force of the blade's mass is expressed by the equation ( 2). [1] Coriolis forces acting on propeller, torques and motions of the propeller have shown in the fig. 2.…”

“…However, for an aircraft performing acrobatic movements, shaft and bearing designs must be made by taking into account the gyroscopic (Coriolis) force occurring on the propeller, as well as the thrust force. Even if the shaft design is traditional, the data in this article will shed light on establishing bearing maintenance intervals for an aircraft operating under intense gyroscopic forces [1], [2].…”

Untitled

“…Therefore, researchers continue to find true mathematical models of gyroscopic effects [10][11][12][13][14]. New research in the area of the gyroscope theory gives the new mathematical models for inertial forces acting on a gyroscope [15,16]. These publications demonstrate that on rotating objects act the several inertial forces of their mass-elements that express the resistance and precession torques.…”