Wavelet-Analysis-Based Chaotic Synchronization of Vibrations of Multilayer Mechanical Structures

• Published in: International applied mechanics Vol. 50; no. 6; pp. 706 - 720
• Main Authors: Krys’ko, V. A., Yakovleva, T. V., Dobriyan, V. V., Papkova, I. V.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.11.2014; Springer
• Subjects: Analysis; Applications of Mathematics; Chaos theory; Classical Mechanics; Contact; Nonlinearity; Physics; Physics and Astronomy; Plates (structural members); Stacks; Synchronism; Synchronization; Vibration; multilayer beam–plate–shell structures; two-layer structures; chaotic synchronization of vibrations
• ISSN: 1063-7095; 1573-8582
• DOI: 10.1007/s10778-014-0669-z

The chaotic synchronization of the vibrations of contacting multilayer beam–plate–shell structures under external loading is studied. There are gaps between their layers. Such systems are called structurally nonlinear. Their behavior is studied comprehensively, and the influence parameters that characterize the safe and critical modes are determined. A method to study the chaotic phase synchronization of various nature is developed. Vibration synchronization for the following systems is analyzed: (i) a stack of two-layer plates (each equation is linear; however, there is structural nonlinearity if the plates contact), (ii) a plate reinforced with a beam, (iii) a stack of two-layer beams (each component is both physically and geometrically nonlinear; their contact interaction causes structural nonlinearity), (iv) a stack of two-layer shells (each component is both physically and geometrically nonlinear; their contact interaction causes structural nonlinearity)