Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (10): 1867-1882.doi: https://doi.org/10.1007/s10483-025-3304-7

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Vibration and response behaviors of composite sandwich cylindrical shells with a carbon nanotube-reinforced damping gel honeycomb core

Peiyao XU1,2, Zhuo XU3, Shang GENG1,2, Hui LI1,2,(), Yan ZHOU4, Haijun WANG5, Jian XIONG6, Zeng LIN1,2, Jun LI7   

  1. 1.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
    2.Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry of Education of China, Northeastern University, Shenyang 110819, China
    3.School of Mechanical Engineering, Northeast Electric Power University, Jilin 132014, Jilin Province, China
    4.Jilin General Aviation Vocational and Technical College, Jilin 132014, Jilin Province, China
    5.School of Aeronautics, Shanghai Dianji University, Shanghai 201306, China
    6.Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150001, China
    7.Jiangsu Xinyang New Materials Co., Ltd., Yangzhou 225100, Jiangsu Province, China
  • Received:2025-07-01 Revised:2025-08-20 Published:2025-09-30
  • Contact: Hui LI, E-mail: lh200300206@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 12472005 and 52175079), the Aerospace Science Foundation of China (No. 2022Z009050002), the Key Laboratory of Vibration and Control of Aero-Propulsion System, Ministry of Education of China (No. VCAME201603), and the Tai-Hang Laboratory Program (No. AK023)

Abstract:

This study provides a thorough investigation into the vibration behavior and impulse response characteristics of composite honeycomb cylindrical shells filled with damping gel (DG-FHCSs). To address the limitations of existing methods, a dynamic model is developed for both free and forced vibration scenarios. These models incorporate the virtual spring technology to accurately simulate a wide range of boundary conditions. Using the first-order shear deformation theory in conjunction with the Jacobi orthogonal polynomials, an energy expression is formulated, and the natural frequencies and mode shapes are determined via the Ritz method. Based on the Newmark-β method, the pulse response amplitudes and attenuation characteristics under various transient excitation loads are analyzed and evaluated. The accuracy of the theoretical model and the vibration suppression capability of the damping gel are experimentally validated. Furthermore, the effects of key structural parameters on the natural frequency and vibration response are systematically examined.

Key words: dynamic model, honeycomb sandwich shell, damping gel, anti-vibration, transient response

2010 MSC Number: 

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