Application of the WKB method to catenary-shaped slender structures

被引：16

作者：

Chatjigeorgiou, Ioannis K. ^{[1
]}

机构：

[1] Natl Tech Univ Athens, Sch Naval Architecture & Marine Engn, Athens, Greece

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 1-2期

关键词：

WKB; catenary; slender structures; eigenvalues;

D O I：

10.1016/j.mcm.2007.08.012

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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]. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：249 / 257

页数：9

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