Melnikov analysis of chaotic dynamics in an impact oscillator system

IF 2.8 3区工程技术 Q2 MECHANICS International Journal of Non-Linear Mechanics Pub Date : 2025-01-30 DOI:10.1016/j.ijnonlinmec.2025.105027

Yan Zhou , Peiyan Zhao , Yujie Guo

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引用次数: 0

Abstract

In this paper, the global dynamic characteristics of an impact oscillator in a class of complex non-smooth systems are discussed in depth by means of analytical and numerical analysis and the classical Melnikov theory. Firstly, the approximation method is used to obtain the fitting system, and the fitting system is compared with the original system. Subsequently, in order to further reveal the intrinsic chaos mechanism of the system, we apply the Melnikov method to determine the threshold conditions for the occurrence of homoclinic chaos in the system. Based on these threshold conditions, we systematically investigate the influence of key parameters such as recovery coefficient, excitation amplitude, excitation frequency and damping coefficient on the chaotic characteristics of the system. In particular, we analyze the transformation of system dynamics under different excitation amplitudes, and reveal the key role of excitation amplitude in regulating system stability. These research results provide new perspectives and tools for theoretical research in related fields, and also provide reference and guidance for the design and control of impact oscillators in practical engineering applications.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.