Journal ArticleDOI
Spatial symmetrical vibrations and stability of circular arches with flexibly supported ends
TLDR
In this paper, exact formulae have been obtained for determining the lowest natural frequencies and critical loads of elastic circular arches with flexibly supported ends for symmetrical vibration in the direction perpendicular to the initial curvature of the arch.About:
This article is published in Journal of Sound and Vibration.The article was published on 1978-07-22. It has received 11 citations till now. The article focuses on the topics: Arch & Flexural rigidity.read more
Citations
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Journal ArticleDOI
The effects of initial thrust and elastic foundation on the vibration frequencies of a shallow arch
Raymond H. Plaut,E.R. Johnson +1 more
TL;DR: In this article, the effects of initial thrust and elastic foundation on the characteristic curves of an arch with pinned ends and a sinusoidal initial shape were investigated for a shallow elastic arch subjected to a static load.
Journal ArticleDOI
A note on vibrations of a circumferential arch with thickness varying in a discontinuous fashion
TL;DR: In this paper, the fundamental frequency of in-plane vibration of arcs of non-uniform thickness for three types of boundary conditions, hinged, clamped, and clamped-free, was determined.
Journal ArticleDOI
Free vibration of elastically coupled dual-span curved beams
Chris Riedel,Bongsu Kang +1 more
TL;DR: In this paper, the free vibration response of dual-span extensional and inextensional circular curved beams constrained by an intermediate elastic support is studied, which consists of a transverse and rotational spring, as well as a tangential spring, which couples the extensional motion of one span with the other.
Journal ArticleDOI
In-plane vibrations of an elastically cantilevered circular arc with a tip mass
TL;DR: In this paper, the fundamental frequency of in-plane, transverse vibration of the structural system described in the title in the case of constant cross-section and moment of inertia is determined by approximating the fundamental mode shape with a polynomial coordinate function in the angular co-ordinate which includes an exponential optimization parameter.
Journal ArticleDOI
On the occurrence of flutter in the lateral–torsional instabilities of circular arches under follower loads
TL;DR: In this paper, the lateral-torsional stability of circular arches subjected to radial and follower distributed loading is studied, and the governing equations for out-of-plane vibrations under radial loading are derived, both with and without Wagner's effect.
References
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Journal ArticleDOI
Lowest Natural Frequency of Elastic Arc for Vibrations Outside the Plane of Initial Curvature
E. Volterra,J. D. Morell +1 more
Journal ArticleDOI
The influence of the behaviour of the load on the frequencies and critical loads of arches with flexibly supported ends
TL;DR: In this article, exact and approximate formulae for determining the lowest natural frequencies and critical loads for arches with flexibly supported ends have been obtained in three cases of load behaviour during the deformation process.
Related Papers (5)
The influence of the behaviour of the load on the frequencies and critical loads of arches with flexibly supported ends
Out-of-plane behavior of circular arches under side loadings
Tetsuya Yabuki,Shigeru Kuranishi +1 more
Elastic flexural-torsional buckling of circular arches under uniform compression and effects of load height
Mark A. Bradford,Yong-Lin Pi +1 more