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A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems
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 ...
Nonlinear Vibration of Thin Elastic Plates, Part 2: Internal Resonance by Amplitude-Incremental Finite Element
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 ...
Nonlinear Vibration of Thin Elastic Plates, Part 1: Generalized Incremental Hamilton’s Principle and Element Formulation
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. ...
Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems
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” ...