Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

380 CHAPTER 13 Airframe Loads

Fig.13.1

Inertia forces on a rigid mass having a constant angular velocity.

Fig.13.2

Inertia forces on a rigid mass subjected to an angular acceleration.

and

Fy=ω^2 ym ̄ (13.2)

IftheCGliesonthexaxis,y ̄=0andFy=0.Similarly,iftheCGliesontheyaxis,Fx=0.Clearly,if
OcoincideswiththeCG,x ̄= ̄y=0andFx=Fy=0.
Supposenowthattherigidbodyissubjectedtoanangularacceleration(ordeceleration)αinaddition
totheconstantangularvelocity,ω,asshowninFig.13.2.Anadditionalinertiaforce,αrδm,actsonthe