Transition to chaos and escape phenomenon in two-degrees-of-freedom oscillator with a kinematic excitation

被引：25

作者：

Borowiec, Marek ^{[1
]}

Litak, Grzegorz ^{[1
]}

机构：

[1] Lublin Univ Technol, Dept Appl Mech, PL-20618 Lublin, Poland

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 02期

关键词：

Nonlinear oscillations; Vehicle suspension; Recurrence plot; QUARTER-CAR MODEL; MAGNETO-RHEOLOGICAL DAMPER; ROAD SURFACE PROFILE; RECURRENCE PLOTS; VEHICLE MODEL; VIBRATION; DYNAMICS; SYSTEMS; OPTIMIZATION; RESONANCE;

D O I：

10.1007/s11071-012-0518-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We study the dynamics of a two-degrees-of-freedom (two-DOF) nonlinear oscillator representing a quarter-car model excited by a road roughness profile. Modeling the road profile by means of a harmonic function, we derive the Melnikov criterion for a system transition to chaos or escape. The analytically obtained estimations are confirmed by numerical simulations. To analyze the transient vibrations, we used recurrences.

引用

页码：1125 / 1133

页数：9