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    A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems 

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004:;page 849
    Author(s): S. L. Lau; Y. K. Cheung; S. Y. Wu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A variable parameter incrementation method is proposed and then applied to the determination of parametric instability boundary of columns. Attention is particularly paid to the geometrically ...
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    Nonlinear Vibration of Thin Elastic Plates, Part 2: Internal Resonance by Amplitude-Incremental Finite Element 

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 004:;page 845
    Author(s): S. L. Lau; Y. K. Cheung; S. Y. Wu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The simple amplitude-incremental triangular plate element derived in Part 1 of this paper is applied to treat the large-amplitude periodic vibrations of thin elastic plates with existence of ...
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    Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation 

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 004:;page 837
    Author(s): S. L. Lau; Y. K. Cheung; S. Y. Wu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The finite element method has been widely used for analyzing nonlinear problems, but it is surprising that so far only a few papers have been devoted to nonlinear periodic structural vibrations. ...
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    Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems 

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 4a:;page 871
    Author(s): S. L. Lau; Y. K. Cheung; S. Y. Wu
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An incremental harmonic balance method with multiple time scales is presented in this paper. As a general and systematic computer method, it is capable of treating aperiodic “steady-state” ...
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