A new technique for the global property of the vibro-impact system at the impact instant. (April 2022)

• Record Type: Journal Article
• Authors: Wang, Bochen; Wang, Liang; Peng, Jiahui; Yue, Xiaole; Xu, Wei
• Is Part Of: International journal of non-linear mechanics. Volume 140(2022)
• Publication Date: 2022-04
• Subjects: Vibro-impact system -- Global analysis -- Global property -- Impact-to-impact mapping -- Crisis; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2022.103914
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: In this paper, a new technique is proposed to study the global properties of the vibro-impact system at the impact instant. A special Poincaré section on the impact surface is chosen, which is composed of the co-dimensional time and the velocity. And a smooth impact-to-impact mapping is constructed as the Poincaré mapping. Consequently, we design a new technique for analyzing the dynamics of the system impact. The new technique specializes in analyzing the global property of the vibro-impact system at the impact instant. It cleverly utilizes the characteristics of the vibro-impact system and avoids the difficulties of non-smooth characteristics caused by impacts. Therefore, the dynamics of the vibro-impact system can be well retained. It is found that our method is valid and widely applicable to vibro-impact systems. A linear vibro-impact system and a nonlinear vibro-impact system are chosen as examples to verify the effectiveness of the new technique. The results show that the vibro-impact system exhibits some interesting dynamical phenomena at the impact instant, such as, the periodic cyclic characteristic and dramatic change of the impact behaviors. Highlights: An impact-to-impact mapping is built for the global property at the impact instant. The method elegantly avoids the non-smoothness and has well accuracy and efficiency. The method is applicable to a wide variety of vibro-impact systems.