Dynamics of a beam-column element on an elastic foundation

被引：1

作者：

Dinckal, Cigdem ^{[1
]}

Alemdar, Bulent N. ^{[2
]}

Gulkan, Polat H. ^{[1
]}

机构：

[1] Cankaya Univ, Eskisehir Rd 29 Km, TR-06790 Ankara, Turkey

[2] Bentley Syst Inc, Struct Engn Grp, 2744 Loker Ave West,Suite 103, Carlsbad, CA 92010 USA

来源：

CANADIAN JOURNAL OF CIVIL ENGINEERING | 2016年 / 43卷 / 08期

关键词：

elastic Winkler foundation; dynamic shape functions; frequency-dependent dynamic stiffness matrix; distributed mass; dynamic stability; STIFFNESS MATRIX; VIBRATION; STABILITY; PLATES;

D O I：

10.1139/cjce-2015-0130

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

An exact analytical solution of a harmonically vibrating beam-column element resting on an elastic Winkler foundation is derived. The solution covers four cases comprised of constant compressive or tensile axial force with the restrictions k(s) - m omega(2) < 0 and k(s) - m omega(2) > 0. The proposed solution is not restricted to a particular range of magnitudes of the foundation parameter. Closed form solutions of dynamic shape functions are explicitly derived for each sub-case to obtain frequency-dependent dynamic stiffness terms that constitute the exact dynamic stiffness matrices. Four numerical examples are provided to demonstrate the merits of the present study.

引用

页码：685 / 701

页数：17

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