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Further results for modal characteristics of rotating tapered timoshenko beams
The dynamic characteristics (natural frequencies and associated mode shapes) of rotating tapered beams is of great importance to the design and performance evaluation in a variety of engineering applications, including helicopter blading, robot manipulators and spinning space structures, and has been the subject of interest to many investigators. The in-plane and out-of-plane modes of free vibration of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub are investigated. The finite element method is used to discretize the beam. This formulation permits unequal breadth and depth taper ratios as well as unequal element lengths. The effects of shear deformation, rotary inertia, hub radius, setting angle, and spinning rotation are considered. The generalized eigenvalue problem is defined using explicit expressions for the mass and stiffness matrices and numerical solutions are generated for a wide range of parameter variations. Explicit expressions of Southwell coefficients are presented for the first time for the case of rotating uniform and tapered Timoshenko beams. Comparisons are made wherever possible with exact solutions and other numerical results available in the literature. Extended results are obtained to serve as a benchmark solution for other numerical techniques and specialized applications.
Further results for modal characteristics of rotating tapered timoshenko beams
The dynamic characteristics (natural frequencies and associated mode shapes) of rotating tapered beams is of great importance to the design and performance evaluation in a variety of engineering applications, including helicopter blading, robot manipulators and spinning space structures, and has been the subject of interest to many investigators. The in-plane and out-of-plane modes of free vibration of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub are investigated. The finite element method is used to discretize the beam. This formulation permits unequal breadth and depth taper ratios as well as unequal element lengths. The effects of shear deformation, rotary inertia, hub radius, setting angle, and spinning rotation are considered. The generalized eigenvalue problem is defined using explicit expressions for the mass and stiffness matrices and numerical solutions are generated for a wide range of parameter variations. Explicit expressions of Southwell coefficients are presented for the first time for the case of rotating uniform and tapered Timoshenko beams. Comparisons are made wherever possible with exact solutions and other numerical results available in the literature. Extended results are obtained to serve as a benchmark solution for other numerical techniques and specialized applications.
Further results for modal characteristics of rotating tapered timoshenko beams
Weitere Ergebnisse für Schwingungscharakteristiken von rotierenden, sich verjüngenden Timoshenko-Balken
Bazoune, A. (author) / Khulief, Y.A. (author) / Stephen, N.G. (author)
Journal of Sound and Vibration ; 219 ; 157-174
1999
18 Seiten, 8 Bilder, 3 Tabellen, 22 Quellen
Article (Journal)
English
Balken , Verjüngen , Schwingungsverhalten , Hubschrauber , Rotor (Drehflügel) , freie Schwingung , Nabe , Finite-Elemente-Methode , Tiefe (geometrische Größe) , Scheren , Verformung , Rotation (Drehung) , Eigenwertproblem , Matrix (Zahlenschema) , Masse (physikalische Größe) , Steifigkeit , Lösung (Mathematik) , numerisches Verfahren
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