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Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection

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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Abstract

The nonlocal elasticity theory pioneered by Eringen [1] is a modification of classical elasticity theory and has been widely accepted and attracted a growing attention in the last years. This theory is often applied to analyze the vibration behavior of nanostructures, and has been used in many areas including light and high toughness fibers, statistical mechanics, ocean engineering, mocro and nano electromechanical systems, and so on.

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Correspondence to Vasile Marinca .

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Marinca, V., Herisanu, N., Marinca, B. (2021). Vibration of Nonlinear Nonlocal Elastic Column with Initial Imperfection. In: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-75653-6_9

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