Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells

doi:10.1007/s10483-022-2858-7

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (9): 1307-1322.doi: https://doi.org/10.1007/s10483-022-2858-7

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Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells

Hui LI^1,2,3, Bocheng DONG^1,2, Zhijiang GAO^1,2, Jing ZHAO^1,2, Haiyang ZHANG³, Xiangping WANG³, Qingkai HAN^1,2

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. Key Laboratory of Impact Dynamics on Aero Engine, Shenyang 110015, China

Received:2021-12-10 Revised:2022-07-17 Online:2022-09-01 Published:2022-08-31
Contact: Jing ZHAO, E-mail: zhaoj@mail.neu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 52175079 and 12072091), the Science Foundation of the National Key Laboratory of Science and Technology on Advanced Composites in Special Environments of China (No. 6142905192512), the Fundamental Research Funds for the Central Universities of China (No. N2103026), the Major Projects of AeroEngines and Gas Turbines of China (No. J2019-I-0008-0008), and the China Postdoctoral Science Foundation (No. 2020M680990)

Abstract

Abstract: This study analyzes and predicts the vibration characteristics of fiber-reinforced composite sandwich (FRCS) cylindrical-spherical (CS) combined shells with hexagon honeycomb core (HHC) for the first time based on an analytical model developed, which makes good use of the advantage of the first-order shear deformation theory (FSDT), the multi-segment decomposition technique, the virtual spring technology, the Jacobi-Ritz approach, and the transfer function method. The equivalent material properties of HHC are firstly determined by the modified Gibson's formula, and the related energy equations are derived for the HHC-FRCS-CS combined shells, from which the fundamental frequencies, the mode shapes, and the forced vibration responses are solved. The current model is verified through the discussion of convergence and comparative analysis with the associated published literature and finite element (FE) results. The effects of geometric parameters of HHC on the dynamic property of the structure are further investigated with the verified model. It reveals that the vibration suppression capability can be greatly enhanced by reducing the ratio of HHC thickness to total thickness and the ratio of wall thickness of honeycomb cell to overall radius, and by increasing the ratio of length of honeycomb cell to overall radius and honeycomb characteristic angle of HHC.

Key words: analytical modeling, cylindrical-spherical (CS) combined shell, hexagonal honeycomb core (HHC), fiber reinforced composite (FRC), modified equivalent elastic modulus

2010 MSC Number:

74H60

Hui LI, Bocheng DONG, Zhijiang GAO, Jing ZHAO, Haiyang ZHANG, Xiangping WANG, Qingkai HAN. Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells. Applied Mathematics and Mechanics (English Edition), 2022, 43(9): 1307-1322.

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Analytical modeling and vibration analysis of fiber reinforced composite hexagon honeycomb sandwich cylindrical-spherical combined shells

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