Eigenvalue for Multispan Beam's Natural Frequency Calc

[sdiguana]

I am trying to calculate the natural frequency of a fuel line for a FBO/windmill condition. In the guideline document supplied by the prime, it references Blevin's Pin-Pin Multispan & pin-clamp. (Table 8-3 d & e) with the formula.

In the formula, it is asking for the eigenvalue... is there a way to hand-calculate this for a multispan tube? I am sure i can run a SOL103 beam model and pick it up, but i'd like to do it by hand... if possible.

References I have access to:
Bruhn, Flabel, Hartog (vibe), Niu(stress), Roarks, Shanley, Peery, Petersons, Timoshenko (vibe)

 

[GregLocock]

Hmm, It'd be fun to do it with Rayleigh Ritz. If it is equal length spans then i dare say the solution is the obvious one.

Cheers

Greg Locock


New here? Try reading these, they might help FAQ731-376

http://eng-tips.com/market.cfm?