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    Vibration of Tapered Beams 

    Source: Journal of Structural Engineering:;1985:;Volume ( 111 ):;issue: 001
    Author(s): Arvind K. Gupta
    Publisher: American Society of Civil Engineers
    Abstract: Stiffness and consistent mass matrices for linearly tapered beam element of any cross‐sectional shape are derived in explicit form. Exact expressions for the required displacement functions are used in the derivation of ...
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    Frequency‐Dependent Matrices for Tapered Beams 

    Source: Journal of Structural Engineering:;1986:;Volume ( 112 ):;issue: 001
    Author(s): Arvind K. Gupta
    Publisher: American Society of Civil Engineers
    Abstract: Dynamic correction stiffness and mass matrices are derived in explicit form for a tapered beam element of any cross‐sectional shape. These matrices are derived using exact expressions for the required displacement functions. ...
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    Closure to “<i>Vibration of Tapered Beams</i>” by Arvind K. Gupta (January, 1985, Vol. 111, No. 1) 

    Source: Journal of Structural Engineering:;1986:;Volume ( 112 ):;issue: 012
    Author(s): Arvind K. Gupta
    Publisher: American Society of Civil Engineers
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