AE301WingVibration110SupplementLumpedMass

AE301WingVibration110SupplementLumpedMass - DEx - prototype...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
DEx - prototype ? 1.10. Supplement on Lumped Mass of the Vibrating Wing For the wing tip plucking experiment, each point along the wing is moving with some velocity. We can derive an equivalent vibrating mass (lumped mass) located at the end of the wing by integrating the kinetic energy in the motion of every point along the wing. 1. The static wing deflection equation gives a relationship between the end deflection and any other point. With x measured from the wing end, x=L is the base where the wing meets the fuselage. From strength of materials textbooks, the end deflection due to a point load, F , at the end of a cantilevered wing depends on the material’s modulus of elasticity, E , bending moment of inertia, I , and wing length, L , is (defining a unitless x coordinate) 2. The maximum deflection is at the wing end ( =0) where the point force is applied and the minimum deflection is at the clamped end ( =1) then the deflection at any point along the wing in terms of the end deflection is
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/07/2011 for the course AE/ME 301 taught by Professor Lafleur during the Spring '11 term at Clarkson University .

Page1 / 3

AE301WingVibration110SupplementLumpedMass - DEx - prototype...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online