TY - GEN digital ID - 131515448 TI - Strongly Nonlinear Oscillators : Analytical Solutions PY - 2014 SN - 9783319052724 PB - Cham Springer International Publishing DB - UniCat KW - Mathematics KW - Mathematical physics KW - Classical mechanics. Field theory KW - Mechanical properties of solids KW - Physics KW - Applied physical engineering KW - Engineering sciences. Technology KW - patroonherkenning KW - analyse (wiskunde) KW - economie KW - wiskunde KW - ingenieurswetenschappen KW - fysica KW - dynamica KW - optica UR - https://www.unicat.be/uniCat?func=search&query=sysid:131515448 AB - This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s 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 parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations. ER -