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

共 25 条

[11] Vibration and stability of axial loaded beams on elastic foundation under moving harmonic loads [J].

Kim, SM .

ENGINEERING STRUCTURES, 2004, 26 (01) :95-105

[12]

Pasternak P.L., 1954, GOSUDARSTVENNOE IZDA

[13] Soil-Pile Interaction of Pile Embedded in Deep-Layered Marine Sediment under Seismic Excitation [J].

Peiris, Thanuja ;

Thambiratnam, David ;

Perera, Nimal ;

Gallage, Chaminda .

STRUCTURAL ENGINEERING INTERNATIONAL, 2014, 24 (04) :521-531

[14] EXACT ANALYSIS OF BEAMS ON TWO-PARAMETER ELASTIC FOUNDATIONS [J].

Razaqpur, A. Ghani ;

Shah, K. R. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1991, 27 (04) :435-454

[15]

Scott R.F., 1981, FDN ANAL

[16] Vibration of shear deformable plates with variable thickness - first-order and higher-order analyses [J].

Shufrin, I ;

Eisenberger, M .

JOURNAL OF SOUND AND VIBRATION, 2006, 290 (1-2) :465-489

[17] Stability and vibration of shear deformable plates-first order and higher order analyses [J].

Shufrin, I ;

Eisenberger, M .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (3-4) :1225-1251

[18] DYNAMIC-RESPONSE OF FRAMEWORKS BY FAST FOURIER-TRANSFORM [J].

SPYRAKOS, CC ;

BESKOS, DE .

COMPUTERS & STRUCTURES, 1982, 15 (05) :495-505

[19]

Tekkaya A.E., 1991, P 20 INT FIN EL METH, P517

[20]

Thomson W., 1993, THEORY VIBRATION APP

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