Journal ArticleDOI
Parametric Instability of Curved Girders
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In this article, the parametric instability of a curved girder subjected to equal and opposite periodic moments at the ends is examined, and it is shown that the relationship of the frequencies at which parametric resonance occurs differs from the frequency relationship of ordinary resonance.Abstract:
The parametric instability of a curved girder subjected to equal and opposite periodic moments at the ends is examined. It is shown that the relationship of the frequencies at which parametric resonance occurs differs from the frequency relationship of ordinary resonance. For small values of the applied couples at the ends, the parametric resonant frequency is twice the natural frequency. The method presented can also be used to determine the natural frequencies and static buckling moment for a curved girder. Special analytical solutions and numerical results are obtained and presented in nondimensional forms.read more
Citations
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Journal ArticleDOI
Assessment of lateral dynamic instability of columns under an arbitrary periodic axial load owing to parametric resonance
TL;DR: In this paper, a method for assessing the dynamic stability of simply supported columns with damping under arbitrary periodic axial loading owing to parametric resonance is presented, where a matrix transformation is developed to solve the ill-condition problem in the even regions of dynamic instability of the column caused by inclusion of damping.
Journal ArticleDOI
Dynamic stability of a circular arch subjected to distributed in-plane dynamic force
TL;DR: In this article, the dynamic instability of a circular arch subjected to an in-plane sinusoidally varying load is analyzed by using a multiple-degree-of-freedom (MDF) approach.
Journal ArticleDOI
Stability of bending-torsional vibrations of curved thin-walled beams
TL;DR: In this paper, the stability of bending-torsional vibrations of a curved thin-walled beam is investigated and the principal regions of instability are determined and a parametric study is performed to study the influence of various parameters.
References
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Journal ArticleDOI
Response of Horizontally Curved Bridge to Moving Load
Chen Pang Tan,Sidney Shore +1 more
TL;DR: In this article, a method of analysis of the dynamic response of a simple-span bridge subjected to a smoothly moving mass load is presented, where a parametric study is made of the effects of horizontal curvature, rigidity ratio, speed parameter, weight ratio and frequency ratio on the response of the bridge to flexural and torsional vibrations.
Journal ArticleDOI
Dynamic response of a horizontally curved bridge
Chen Pang Tan,Sidney Shore +1 more
TL;DR: In this article, a method of analysis of the dynamic response of a simple-span horizontally curved bridge subjected to a constant moving force is presented, where differential equations for the out-of-plane vibrational motion of the curved bridge under the action of the constant moving forces are derived and solved with the method of initial conditions.
Journal ArticleDOI
Natural Frequencies of Horizontally Curved Beams
TL;DR: In this article, the solution of the equations governing the transverse, coupled, free vibration of doubly symmetric, horizontally curved beams is examined and an approximate solution based on the Rayleigh-Ritz method is presented.
Journal ArticleDOI
Out-Of-Plane Buckling of Curved Members
TL;DR: Two governing equations for out-of-plane flexural-torsional buckling of curved planar rods are derived in this paper, where the buckled shape is antisymmetrical about the center of the ring segment.