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    Evaluation of Groebner Basis Methodology as an Aid to Harmonic Balance 

    Source: Journal of Vibration and Acoustics:;2014:;volume( 136 ):;issue: 002:;page 24502
    Author(s): Liu, Jane; Peddieson, John
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A preliminary exploration is carried out of the utility of the Groebner basis method for implementing the harmonic balance analysis of nonlinear steady state vibrations. The method is found to be worthy of further investigation.
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    Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis 

    Source: Journal of Offshore Mechanics and Arctic Engineering:;2013:;volume( 135 ):;issue: 004:;page 41601
    Author(s): Jane Liu, Y.; Buchanan, George R.; Peddieson, John
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The governing equations for large deflections of cables have a highly nonlinear and coupled nature, which precludes exact analytical solutions except in a few simplified cases. The present study demonstrates the utility ...
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