Applied Mathematics and Mechanics >
Theoretical and experimental investigation on vibration of bolted-flange-joined conical-cylindrical shells
Received date: 2024-12-20
Revised date: 2025-04-23
Online published: 2025-06-06
Supported by
Project supported by the National Natural Science Foundation of China (No. 12272088) and the Out-standing Youth Science Foundation of Liaoning Province of China (No. 2024JH3/50100013)
Copyright
This study investigates the vibration characteristics of bolted-flange-joined conical-cylindrical shells (BFJCCSs) through both theoretical analysis and experimental testing. The proposed model incorporates the pressure distribution within the bolted joint and accounts for the flange effect. The energy expressions for the conical and cylindrical shells are derived from Donnell's shell theory, while those for the flanges are obtained from the Euler-Bernoulli beam theory. The Lagrange equation is used to derive the dynamic equation, and the experimental studies on the BFJCCS are conducted to validate the accuracy of the model. Subsequently, the comprehensive effects of bolt loosening and bolt number on the frequency parameters are analyzed. Additionally, the effects of the flange dimensions and cone angle on the vibration behavior of the BFJCCS are discussed. In particular, the dynamic differences between the welded conical-cylindrical shell (WCCS) and BFJCCS are investigated. It is found that compared with the WCCS, the fundamental frequency of the BFJCCS is reduced by 7.6%, and the corresponding modal damping ratio is reduced by 21.0%. However, the high-order frequencies of the BFJCCS are higher than those of the WCCS, accompanied by a higher modal damping ratio. Compared with the bolt loosening degree, the bolt number has a more significant effect on frequencies. As the bolt number decreases, the impact of the bolt loosening degree diminishes gradually.
Chunhao ZHANG, Qingdong CHAI, Changyuan YU, Wuce XING, Yanqing WANG . Theoretical and experimental investigation on vibration of bolted-flange-joined conical-cylindrical shells[J]. Applied Mathematics and Mechanics, 2025 , 46(6) : 1049 -1068 . DOI: 10.1007/s10483-025-3261-8
| [1] | DU, J., QIU, Y., WANG, Z., LI, J., WANG, H., WANG, Z., and ZHANG, J. A three-stage criterion to reveal the bolt self-loosening mechanism under random vibration by strain detection. Engineering Failure Analysis, 133, 105954 (2022) |
| [2] | QIN, Z., HAN, Q., and CHU, F. Bolt loosening at rotating joint interface and its influence on rotor dynamics. Engineering Failure Analysis, 59, 456–466 (2016) |
| [3] | WANG, D. Identification for joint interfaces with correlation analysis of instantaneous dynamics. Archive of Applied Mechanics, 90, 187–198 (2020) |
| [4] | XING, W. C. and WANG, Y. Q. A unified nonlinear dynamic model for bolted flange joint disk-drum structures under different interface states: theory and experiment. Applied Mathematical Modelling, 137, 115695 (2025) |
| [5] | CUI, Y. and WANG, Y. Effect of disk flexibility on nonlinear vibration characteristics of shaft-disk rotors. Acta Mechanica Sinica, 40, 523140 (2024) |
| [6] | XING, W. C. and WANG, Y. Q. Dynamic modeling and vibration analysis of bolted flange joint disk-drum structures: theory and experiment. International Journal of Mechanical Sciences, 272, 109186 (2024) |
| [7] | LEISSA, A. W. and NORDGREN, R. P. Vibration of shells. Journal of Applied Mechanics, 41, 544 (1993) |
| [8] | LI, H., ZHANG, W., ZHANG, Y. F., and JIANG, Y. Nonlinear vibrations of graphene-reinforced porous rotating conical shell with arbitrary boundary conditions using traveling wave vibration analysis. Nonlinear Dynamics, 112, 4363–4391 (2024) |
| [9] | WANG, Z. Q., YANG, S. W., HAO, Y. X., ZHANG, W., MA, W. S., and NIU, Y. High-dimensional nonlinear flutter suppression of variable thickness porous sandwich conical shells based on nonlinear energy sink. Journal of Sound and Vibration, 595, 118731 (2025) |
| [10] | PATEL, B. P., GANAPATHI, M., and KAMAT, S. Free vibration characteristics of laminated composite joined conical-cylindrical shells. Journal of Sound and Vibration, 237, 920–930 (2000) |
| [11] | CARESTA, M. and KESSISSOGLOU, N. J. Free vibrational characteristics of isotropic coupled cylindrical-conical shells. Journal of Sound and Vibration, 329, 733–751 (2010) |
| [12] | SHI, X., ZUO, P., ZHONG, R., GUO, C., and WANG, Q. Thermal vibration analysis of functionally graded conical-cylindrical coupled shell based on spectro-geometric method. Thin-Walled Structures, 175, 109138 (2022) |
| [13] | KANG, J. H. Three-dimensional vibration analysis of joined thick conical-cylindrical shells of revolution with variable thickness. Journal of Sound and Vibration, 331, 4187–4198 (2012) |
| [14] | MA, X., JIN, G., XIONG, Y., and LIU, Z. Free and forced vibration analysis of coupled conical-cylindrical shells with arbitrary boundary conditions. International Journal of Mechanical Sciences, 88, 122–137 (2014) |
| [15] | TIAN, L., YE, T., and JIN, G. Vibration analysis of combined conical-cylindrical shells based on the dynamic stiffness method. Thin-Walled Structures, 159, 107260 (2021) |
| [16] | CHEN, M., XIE, K., JIA, W., and XU, K. Free and forced vibration of ring-stiffened conical-cylindrical shells with arbitrary boundary conditions. Ocean Engineering, 108, 241–256 (2015) |
| [17] | CHAI, Q. and WANG, Y. Q. Nonlinear dynamics of bolted joined conical-cylindrical shells considering displacement-dependent characteristics. International Journal of Mechanical Sciences, 261, 108673 (2024) |
| [18] | SOBHANI, E. and SAFAEI, B. Vibrational features of graphene oxide powder nanocomposite coupled conical-cylindrical shells applicable for aerospace structures under various boundary conditions. Engineering Analysis with Boundary Elements, 151, 423–438 (2023) |
| [19] | SOBHANI, E., MASOODI, A. R., and AHMADI-PARI, A. R. Free-damped vibration analysis of graphene nano-platelet nanocomposite joined conical-conical-cylindrical shell marine-like structures. Ocean Engineering, 261, 112163 (2022) |
| [20] | GAO, C., PANG, F., CUI, J., LI, H., ZHANG, M., and DU, Y. Free and forced vibration analysis of uniform and stepped combined conical-cylindrical-spherical shells: a unified formulation. Ocean Engineering, 260, 111842 (2022) |
| [21] | GUO, W., HONG, X., LUO, W., YANG, J., LI, T., and ZHU, X. Vibration analysis of conical-cylindrical-spherical shells by a novel linear expression method. Composite Structures, 334, 117879 (2024) |
| [22] | LI, H., ZHANG, W., and ZHANG, Y. F. Vibration analysis of graphene-reinforced porous aluminum-based variable-walled thickness sandwich joined conical-conical panel with elastic boundary conditions using differential quadrature method. Thin-Walled Structures, 201, 112016 (2024) |
| [23] | TANG, Q., SHE, H., LI, C., and WEN, B. Influence of non-uniform parameter of bolt joint on complexity of frequency characteristics of cylindrical shell. Chinese Journal of Mechanical Engineering, 36, 49 (2023) |
| [24] | LI, C., QIAO, R., TANG, Q., and MIAO, X. Investigation on the vibration and interface state of a thin-walled cylindrical shell with bolted joints considering its bilinear stiffness. Applied Acoustics, 172, 107580 (2021) |
| [25] | TANG, Q., LI, C., SHE, H., and WEN, B. Vibration analysis of bolted joined cylindrical-cylindrical shell structure under general connection condition. Applied Acoustics, 140, 236–247 (2018) |
| [26] | LI, H., ZOU, Z., YAN, Y., SHI, X., XIONG, J., ZHANG, H., WANG, X., and HA, S. K. Free and forced vibrations of composite cylindrical-cylindrical shells with partial bolt loosening connections: theoretical and experimental investigation. Thin-Walled Structures, 179, 109671 (2022) |
| [27] | LI, H., LV, H., SUN, H., QIN, Z., XIONG, J., HAN, Q., LIU, J., and WANG, X. Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions. Journal of Sound and Vibration, 496, 115935 (2021) |
| [28] | MA, H., SUN, W., DU, D., LIU, X., and LIU, H. Nonlinear vibration analysis of double cylindrical shells coupled structure with bolted connection and partially attached constrained layer damping. International Journal of Mechanical Sciences, 223, 107270 (2022) |
| [29] | AL-NAJAFI, A. M. J. and WARBURTON, G. B. Free vibration of ring-stiffened cylindrical shells. Journal of Sound and Vibration, 13, 9–25 (1970) |
| [30] | JAFARI, A. A. and BAGHERI, M. Free vibration of rotating ring stiffened cylindrical shells with non-uniform stiffener distribution. Journal of Sound and Vibration, 296, 353–367 (2006) |
| [31] | LI, C., JIANG, Y., QIAO, R., and MIAO, X. Modeling and parameters identification of the connection interface of bolted joints based on an improved micro-slip model. Mechanical Systems and Signal Processing, 153, 107514 (2021) |
| [32] | DAI, L., YANG, T., LI, W., DU, J., and JIN, G. Dynamic analysis of circular cylindrical shells with general boundary conditions using modified Fourier series method. Journal of Vibration and Acoustics, 134(4), 041004 (2012) |
| [33] | LIU, X., SUN, W., LIU, H., DU, D., MA, H., and LI, H. Nonlinear vibration analysis for bolted CFRC plates based on displacement-dependent surface spring-damping model of bolted joint. Journal of Sound and Vibration, 553, 117672 (2023) |
| [34] | WANG, Y. Q., CHAI, Q., and XING, W. C. Vibrations of joined conical-cylindrical shells with bolt connections: theory and experiment. Journal of Sound and Vibration, 554, 117695 (2023) |
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