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Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Longitudinal Vibration of Bars
A straight elastic bar can undergo longitudinal, torsional, and lateral vibration. Of these, the longitudinal vibration is the simplest to analyze. This chapter considers a simple theory for the longitudinal vibration of bars based on the assumptions: the cross‐sections of the bar that were originally plane remain plane during deformation; and the displacement components in the bar are negligible. It derives the equation of motion using two different approaches: by applying Newton's second law of motion and Hamilton's principle. In the Rayleigh theory, the inertia of the lateral motions by which the cross‐sections are extended or contracted in their own planes is considered. But the contribution of shear stiffness to the strain energy is neglected. The Bishop's theory considers the effect not only of the inertia of the lateral motions but also of the shear stiffness.
Longitudinal Vibration of Bars
A straight elastic bar can undergo longitudinal, torsional, and lateral vibration. Of these, the longitudinal vibration is the simplest to analyze. This chapter considers a simple theory for the longitudinal vibration of bars based on the assumptions: the cross‐sections of the bar that were originally plane remain plane during deformation; and the displacement components in the bar are negligible. It derives the equation of motion using two different approaches: by applying Newton's second law of motion and Hamilton's principle. In the Rayleigh theory, the inertia of the lateral motions by which the cross‐sections are extended or contracted in their own planes is considered. But the contribution of shear stiffness to the strain energy is neglected. The Bishop's theory considers the effect not only of the inertia of the lateral motions but also of the shear stiffness.
Longitudinal Vibration of Bars
Rao, Singiresu S. (Autor:in)
Vibration of Continuous Systems ; 239-275
06.03.2019
37 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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