Vibration of beams on intermediate elastic supports

Joshi, A and Upadhya, AR (1986) Vibration of beams on intermediate elastic supports. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    The problem of free vibration of Seam on intermediate13; elastic: supports is studied. The beam represents an idealized model of a launch vehicle whose dynamic characteristics are to be studied when mounted on an elastic support system. The support system consists of a pair of translational springs. a pair of rotational springs and a cantilevered beam. this configuration of the support system is normallly used for mounting the aeroelistic buffet models inside the wind tunnel. Numerical results are obtained for the frequencies and mode shapes of this elastically coupled system for a range of values of the spring constants and cantilevered deam stiffness and inertia values. The study shows13; that when the springs are supported at the nodal points13; corresponding to the first free beam mode. the linear spring stiffness and interia values. the study shows that when the springs are supported at the nodal points corresponding to the first free-free beam mode .the linear spring stiffness has no effect on the first model mode and marginal effect on subsequent model modes.however the rotational stiffness has a aignficant effect on all the model modes. the study also shows that though the variations in the stiffness or the interia values of the cantilever beam affect only the predominantly cantilever modes, these variations become important because of the fact that the cantilever freyuencies may come close to or even cross over, the model frequencies. the results also show that shifting of the support points away from the first mode nodal points has the maximum effect only on thefirst model mode.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Vibration;Elastic support;Beams
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, Structures Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 09 Oct 2006
    Last Modified: 24 May 2010 09:51
    URI: http://nal-ir.nal.res.in/id/eprint/2904

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