书目名称 | Strong Nonlinear Oscillators |
副标题 | Analytical Solutions |
编辑 | Livija Cveticanin |
视频video | |
概述 | Presents exact analytical solutions for second order differential equations of any order of nonlinearity, with many examples.Features original approximate solving methods for strong nonlinear differen |
丛书名称 | Mathematical Engineering |
图书封面 |  |
描述 | .This textbook presents the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. It presents the author’s original method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameters is considered. In this second edition of the book, the number of approximate solving procedures for strong nonlinear oscillators is enlarged and a variety of procedures for solving free strong nonlinear oscillators is suggested. A method for error estimation is also given which is suitable to compare the exact and approximate solutions..Besides the oscillators with one degree-of-freedom, the one and two mass oscillatory systems with two-degrees-of-freedom and continuous oscillators are considered. The chaos and chaos suppression in ideal and non-ideal mechanical systems is explained..In this second edition more at |
出版日期 | Book 2018Latest edition |
关键词 | Free Strong Nonlinear Oscillator; Forced Strong Nonlinear Oscillator; Purely Nonlinear Oscillator; Axia |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-58826-1 |
isbn_softcover | 978-3-319-86484-6 |
isbn_ebook | 978-3-319-58826-1Series ISSN 2192-4732 Series E-ISSN 2192-4740 |
issn_series | 2192-4732 |
copyright | Springer International Publishing AG 2018 |