论文信息 - Application of the WKB method to catenary-shaped slender structures

Application of the WKB method to catenary-shaped slender structures

The purpose of this work is the derivation of closed form expressions for the linear vibration modes of catenary-shaped slender structures. The dynamic behaviour of the structure is described using the Euler-Bernoulli beam formulation with variable tension and angle terms. The desired expressions are obtained by treating the governing fourth-order partial differential equation of dynamic equilibrium using the WKB method [J.D. Logan, Applied Mathematics, second ed., Wiley Interscience, 1997].

Ioannis K. Chatjigeorgiou | I. Chatjigeorgiou

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