Techno Press
You logged in as Techno Press

Structural Engineering and Mechanics
  Volume 3, Number 5, September 1995, pages 511-525
DOI: http://dx.doi.org/10.12989/sem.1995.3.5.511
 


IN-PLANE FREE VIBRATIONS OF CATENARY ARCHES WITH NSYMMETRIC AXES
WILSON JF, LEE BK

 
Abstract
    The differential equations governing in-plane free vibrations of the elastic, catenary arch with rotatory inertia are derived in Cartesian coordinates. Frequencies and mode shapes are computed numerically for such arches with unsymmetric axes, for both clamped-clamped and hinged-hinged end constraints. The lowest four natural frequency parameters are reported, with and without rotatory inertia, as a function of three nondimensional system parameters; the span to cord length ratio e, the slenderness ratio s, and the rise to cord length ratio f. Experimental measures of frequencies and mode shapes for several laboratory-scale catenary models serve to validate the theoretical results.
 
Key Words
    CATENARY ARCH, DETERMINANT SEARCH METHOD, FREE VIBRATION, MODE SHAPE, ROTATORY INERTIA, RUNGE-KUTTA METHOD, UNSYMMETRIC AXIS
 
Address
WILSON JF, DUKE UNIV,DEPT CIVIL ENGN,DURHAM,NC 27708
WONKWANG UNIV,DEPT CIVIL ENGN,JUNBUK 570749,SOUTH KOREA
 

Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2021 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: info@techno-press.com