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We present an analytical procedure for the exact, explicit construction of Euler–Bernoulli beams with given values of the first N buckling loads. The result is valid for pinned–pinned (P–P) end… Click to show full abstract
We present an analytical procedure for the exact, explicit construction of Euler–Bernoulli beams with given values of the first N 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.
Keywords:
beams finite;
pinned pinned;
buckling loads;
determination pinned;
pinned beams;
explicit determination
Journal Title: International Journal of Structural Stability and Dynamics
Year Published: 2017
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Journal Title: International Journal of Structural Stability and Dynamics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!