The Mechanics of Nonlinear Systems with Internal Resonances 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Manevich, Arkadiy I./ Manevitch, Leonid I. 作者

World Scientific Pub Co Inc

译者

2005-5 出版日期

276 页数

$ 113.00 价格

HRD

丛书系列

9781860945106 图书编码

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The Mechanics of Nonlinear Systems with Internal Resonances 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The Mechanics of Nonlinear Systems with Internal Resonances 在线电子书图书描述

One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance. The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic and quadratic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are also studied.

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