Affiliation:
1. Polytechnic Department of Engineering and Architecture, University of Udine, Via Cotonificio 114, Udine 33100, Italy
Abstract
We present an analytical procedure for the exact, explicit construction of Euler–Bernoulli beams with given values of the first [Formula: see text] buckling loads. The result is valid for pinned–pinned (P–P) end conditions and for beams with regular bending stiffness. The analysis is based on a reduction of the buckling problem to an eigenvalue problem for a vibrating string, and uses recent results on the exact construction of Sturm–Liouville operators with prescribed natural frequencies.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering
Cited by
2 articles.
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