Nonlinear vibration control of composite beam under base excitation via NiTiNOL–steel wire ropes: experimental and theoretical investigation

• Published in: Nonlinear dynamics Vol. 112; no. 7; pp. 5195 - 5210
• Main Authors: Zhang, Yewei, Wang, Zhenyu, Song, Xuyuan, Zang, Jian, Wang, Zhijian
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2024; Springer Nature B.V
• Subjects: Automotive Engineering; Cantilever beams; Classical Mechanics; Composite beams; Composite structures; Control; Dynamical Systems; Engineering; Equations of motion; Excitation; Frequency response; Hamilton's principle; Harmonic balance method; Intermetallic compounds; Laminar composites; Mechanical Engineering; Nickel titanides; Nonlinear control; Partial differential equations; Polynomials; Research projects; Resonant frequencies; Review; Steel wire; Vibration; Vibration control; Vibration damping; Vibration response; Wire rope; NiTiNOL–steel wire rope; Composite cantilever beam; Nonlinear vibration control; Experiment investigation
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-024-09312-5

The present paper contributes to the nonlinear vibration control of the composite cantilever beam structures of aeroplanes under base excitation via employment the NiTiNOL–steel wire ropes (NiTi–ST) by means of systematic theoretical and experimental investigations. A polynomial model is introduced to simulate the damping characteristic of NiTi–ST and then the governing equation of motion of laminated composite cantilever beam treated with NiTi–ST has been derived in frame of Hamilton’s principle. The Galerkin Truncation method is employed to discretize the partial differential equations of the system while the frequency response curves are computed with the Harmonic balance method. A series of systematic experimental and numerical research projects are put on schedule to confirm the effectiveness of the proposed analytical procedure and the damping of NiTi–ST. The influence of NiTi–ST on vibration response of the composite beam with various excitations and composite schemes are discussed in detail and several new conclusions are drawn. The results indicate that NiTi–ST is a lightweight and effective method of vibration damping without changing the natural frequency of the construction, providing a new solution for vibration damping in aerospace composite structures.