An analytical closed-form expression is derived for the shear correction factor of beams with annular cross sections. The beam theory is formulated using the variational asymptotic method, which uses inherently occurring small parameters to convert a variational statement from three-dimensional elasticity to an engineering beam theory without any ad hoc assumptions on the beam kinematics. Comparisons are made with existing solutions in the literature; then, the critical speeds of a rotor are shown to depend not only on the inclusion of transverse shear but also on the choice of the shear correction factor, establishing its importance. The motivation of this work is twofold: first, rotors that can be modeled as beams with annular cross sections are often encountered, and this expression for the shear correction factor can be readily incorporated into any rotor dynamics solver; and second, closed-form expressions, when available, always provide more insight into structural mechanics as opposed to numerical solutions.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Variational Asymptotic Based Shear Correction Factor for Isotropic Circular Tubes


    Beteiligte:

    Erschienen in:

    AIAA Journal ; 57 , 10 ; 4125-4131


    Erscheinungsdatum :

    01.10.2019




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Experimental validation of the shear correction factor

    Puchegger, S. | Online Contents | 2003


    Lifting clamp for circular tubes

    GAO FENG | Europäisches Patentamt | 2015

    Freier Zugriff

    Circular-arc inclusion at isotropic bimaterial interface

    Chao, C. K. / Shen, M. H. | AIAA | 1995


    Free Vibration of Transversely Isotropic Circular Plates

    Rong-Hao Bao / Wei-Qiu Chen / Rong-Qiao Xu | AIAA | 2006


    Variational Asymptotic Modeling of Cosserat Elastic Plates

    Kovvali, Ravi Kumar / Hodges, Dewey H. | AIAA | 2017