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iso-spectral Euler-Bernoulli beams �� la Sophus Lie

open access: yes, 2007
We obtain iso-spectral Euler-Bernoulli beams by using factorization and Lie symmetry techniques. The canonical Euler-Bernoulli beam operator is factorized as the product of a second-order linear differential operator and its adjoint. The factors are then reversed to obtain iso-spectral beams.
openaire   +2 more sources

Vibration Analysis of Multilayer Stepped Cross-Sectional Carbon Nanotubes. [PDF]

open access: yesNanomaterials (Basel)
Yildiz YO   +4 more
europepmc   +1 more source

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