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    Upper and Lower Bounds of Frequencies for Cantilever Bars of Variable Cross Sections 

    Source: Journal of Applied Mechanics:;1966:;volume( 033 ):;issue: 004:;page 948
    Author(s): J. H. Gaines; Enrico Volterra
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Upper and lower bounds of frequencies of transverse vibrations of cantilever bars of variable cross sections are presented, taking into account the effects of transverse shear and of rotatory ...
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    Application of Reissner’s Variational Principle to Cantilever Plate Deflection and Vibration Problems 

    Source: Journal of Applied Mechanics:;1962:;volume( 029 ):;issue: 001:;page 127
    Author(s): H. J. Plass; J. H. Gaines; C. D. Newsom
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A variational principle due to E. Reissner has been rewritten in a form which is applicable to small deflection problems for thin plates. The modified principle is used to obtain approximations ...
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