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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Vibration of Circular Rings and Curved Beams
The problems of vibration of circular rings and curved beams (or rods) find application in several practical cases. The vibration of curved beams is important in the study of the dynamic behavior of arches. This chapter derives the general equations of motion governing the three‐dimensional vibrations of a thin rod which in the unstressed state forms a circular ring or a portion of such a ring. The effects of rotary inertia and shear deformation are neglected. A procedure similar to the one used in the case of a straight beam by Timoshenko can be used to include the effects of shear deformation and rotatory inertia in the equations of motion of a ring. For the torsional vibration of a circular ring, the in‐plane displacement components are assumed to be zero. In addition, the transverse displacement, perpendicular to the plane of the ring, is assumed to be small.
Vibration of Circular Rings and Curved Beams
The problems of vibration of circular rings and curved beams (or rods) find application in several practical cases. The vibration of curved beams is important in the study of the dynamic behavior of arches. This chapter derives the general equations of motion governing the three‐dimensional vibrations of a thin rod which in the unstressed state forms a circular ring or a portion of such a ring. The effects of rotary inertia and shear deformation are neglected. A procedure similar to the one used in the case of a straight beam by Timoshenko can be used to include the effects of shear deformation and rotatory inertia in the equations of motion of a ring. For the torsional vibration of a circular ring, the in‐plane displacement components are assumed to be zero. In addition, the transverse displacement, perpendicular to the plane of the ring, is assumed to be small.
Vibration of Circular Rings and Curved Beams
Rao, Singiresu S. (Autor:in)
Vibration of Continuous Systems ; 399-425
06.03.2019
27 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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