On the free motions of a uniform elastic helicoidal bar

Panayotounakos, D.E.

doi:10.1007/bf02337634

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…As a structural element and as one type of curvilinear beams, a helicoidal bar has proved (Panayotounakos, 1949;1985;Young and Scordelis, 1958) to yield desirable structural response under a general state of static loading, and when one considers the combination of desirable aesthetical and behavioral characteristics it has, it might represent the most desirable alternative for carrying loads in a specified structural configuration. These traits of the bar have led to the investigation of the characteristics of its free vibrations, which would be of a paramount importance to the full dynamic analysis of three dimensional structural systems involving this type of bar as staircases.…”

Section: Introductionmentioning

confidence: 99%

Analysis of free vibrations of helicoidal beams

Alghamdi

Mohiuddin

Al-Ghamedy

1998

Engineering Computations

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As structural members, circular helicoidal bars are frequently used in the construction industry for a variety of practical and/or aesthetical reasons. While these bars (curvilinear beams) might represent the most practical alternative for carrying loads in a specified structural configuration, the three dimensional structural response has been found to be superior compared to that of other forms of structural members under a general state of loading. Presents the results of a study that has been designed to investigate the free vibration characteristics of this type of bar. The study reported is limited to the analysis of free vibrations utilizing the method of dynamic transport matrix (DTM), and the finite elements method (FEM). A comparative study of the results provided by the DTM is presented to assess the vibration characteristics of circular helicoidal bars and circular bars. The results indicate: the inherent structural superiority of the three dimensional behaviour of circular helicoidal bars; and the computational efficiency of the DTM as compared to the FEM.

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Section: Introductionmentioning

confidence: 99%