Experimental Investigation on the Vibration Characteristics of a Laminated Cylindrical Shell Structure Made of Steel and Composite Materials

Abstract

The vibration and noise reduction characteristics of submersibles have been extensively investigated. Composite materials have various applications in automotive, aerospace, and other fields because of their excellent damping, corrosion resistance, specific strength, and other properties. However, compared with steel, composites are still deficient in terms of stability, stiffness, and economy. Composites also present structural dynamic parameter properties that differ from those of steel structures, which limit their application on submarines. This study aims to improve the vibration and noise reduction performance of submarines and further enhance the application of composite materials in submarine vehicles. For this purpose, the structural design of a laminated reinforced cylindrical shell made of steel and composite materials is conducted, and a traditional form of steel comparative structure with equal mass and shape is designed to contrast with the laminated model. The modal characteristics reflect the inherent frequency features of a structure. By altering the natural frequency, the model can be shifted away from the excitation frequency, which avoids intense resonance and effectively suppresses sound radiation caused by resonance. Therefore, the characteristics of the two structures in terms of modal and damping are compared and explored through experiments and simulations. The results show that the relative error of the modal between experiment and computation does not exceed 6%. After replacing 40% of the mass of steel with carbon fiber, the first three orders of the intrinsic frequency of the structure are increased by more than 13%, the amplitude of the transfer function is reduced by 9.6%, and the damping is improved by more than 75%. Therefore, the vibration and noise reduction characteristics of submersibles have been improved.

Keywords

Submarine vehicles / Laminated / Modal / Damping

References

[1] Amirabadi R, Ghazangian R. A comprehensive study of an identical submarine subjected to explosion. International Journal of Coastal and Offshore Engineering, 2018, 3(1): 21-34

[2] Bakshi K, Chakravorty D. First ply failure study of thin composite conoidal shells subjected to uniformly distributed load. Thin Walled Strucures, 2014, 76: 1-7

[3] Chen K, Dong JL. Strength optimization design of spherical hulls for deep-sea submersibles: A hydraulic autofrettage approach in external pressure vessels. Ocean Engineering, 2023, 287(Part2): 115853

[4] Chen Y, Tong ZP, Hua HX, Wang Y, Gou HY. Experimental investigation on the dynamic response of scaled ship model with rubber sandwich coatings subjected to underwater explosion. International Journal of Impact Engineering, 2009, 36(2): 318-328

[5] Cheng L, Wang C, Guo BB, Liang QY, Xie ZL, Yuan ZM, Chen XP, Hu HB, Du P. Numerical investigation on the interaction between large-scale continuously stratified internal solitary wave and moving submersible. Applied Ocean Research, 2024, 145: 103938

[6] Du Q, Cui W. Stability analysis and experiment of large-scale spherical models built by high strength steel. Proceedings of the ASME 2014 33rd international conference on ocean. Offshore and Arctic Engineering, 2014San FranciscoASME V04BT02A014

[7] Du QHReport on spherical pressure tests of 1# model of deep sea manned submarine, 2017ShanghaiShanghai Ocean University

[8] Du QH, Liu W, Zou G, Qiu XY. The reliability analysis and experiment verification of pressure spherical model for deep sea submersible based on data BP and machine learning technology. Marine Structures, 2024, 96: 103635

[9] Feng GH, Zhu SH, Liu C, Chen W, Zhu Q, Xiao P. Research on secondary low-velocity impact damage propagation in composite laminates. Aeronautical Computing Technique, 2024, 54(6): 38-42

[10] Fathallah E, Qi H, Tong LL, Helal M. Design optimization of lay-up and composite material system to achieve minimum buoyancy factor for composite elliptical submersible pressure hull. Composite Structures, 2015, 121: 16-26

[11] Ghandehari MA, Masoodi AR, Hosseininia SES. Multiscale dynamic behavior of imperfect hybrid matrix\fiber nanocomposite nested conical shells with elastic interlayer. Thin-Walled Structures, 2024, 205(PartB): 112494

[12] Ghandehari MA, Masoodi AR, Hosseininia ES. Temperature-dependency and boundary condition impacts on the multiscale vibrational behavior of laminated nested dual conical shell structure semi-AUV applications. Applied Ocean Research, 2025, 154: 104425

[13] Guo W, Dun CC, Marcus MA, Venturi V, Gainsforth Z, Yang FP, Feng XF, Viswanathan V, Urban JJ, Yu C, Zhang QY, Guo JH, Qiu JS. The emerging layered hydroxide plates with record thickness for enhanced high-mass-loading energy Storage. Advanced Materials, 2023, 35: 2211603

[14] Ismail MS, Mahmud J, Jailani A. Buckling of an imperfect spherical shell subjected to external pressure. Ocean Engineering, 2023, 275: 114118

[15] Jiang G, Chen JC, Guo H, Wu G, Liu ZZ. Study on local vibration control of the 100 m X-BOW polar exploration cruise ship. Applied Sciences, 2024, 14(11): 4732

[16] Kandasamy R, Cui F, Townsend N, Foo CC, Guo J, Shenoi A, Xiong Y. A review of vibration control methods for marine offshore structures. Ocean Engineering, 2016, 127: 279-297

[17] Li HC, Pang FZ, Zhang H. Analysis of free vibration characteristics of cylindrical shells with stepped thickness. Journal of Vibration Engineering, 2020, 33(6): 1226-1233

[18] Li C, Wang J, Qu Y, Zhang ZY, Hua HX. Numerical and experimental investigation on vibro-acoustic response of a shaft-hull system. Engineering Analysis with Boundary Elements, 2016, 71: 129-139

[19] Liu JH, Wu YS, Zhao BL, Li YJ (2000) A simplified method for analyzing the response of GRP ship to underwater explosion. Journal of Ship Mechanics (3): 51–58

[20] Lee GC, Kweon JH, Choi JH. Optimization of composite sandwich cylinders for underwater vehicle application. Composite Structures, 2013, 96: 691-697

[21] Lopatin AV, Morozov EV. Buckling of the composite sandwich cylindrical shell with clamped ends under uniform external pressure. Composite Structures, 2015, 122: 209-216

[22] Ma G, He B, Liu JH, Zhang X, Chen H. Research on the dynamics model of medium-weight impact testing for ship equipment. Shipbuilding of China, 2024, 65(5): 222-232

[23] McCoy RW, Sun CT. Fluid-structure interaction analysis of a thick-section composite cylinder subjected to underwater blast loading. Composite Structures, 1997, 37(1): 45-55

[24] Messager T, Pyrz M, Gineste B, Chauchot P. Optimal laminations of thin underwater composite cylindrical vessels. Composite Structures, 2022, 58(4): 529-537

[25] Moon CJ, Kim IH, Choi BH, Kweon JH, Choi JH. Buckling of filament-wound composite cylinders subjected to hydrostatic pressure for underwater vehicle applications. Composite Structures, 2010, 92(9): 2241-2251

[26] Rezaiee-Pajand M, Masoodi AR (2019) Shell instability analysis by using mixed interpolation. Journal of the Brazilian Society of Mechanical Sciences and Engineering 41: article number 419. https://doi.org/10.1007/s40430-019-1937-y

[27] Song GH, Zou YH, Nie Y, Habibi M, Albaijan I, Toghroli E. Application of Hashin-Shtrikman bounds homogenization model for frequency analysis of imperfect FG bio-composite plates. Journal of the Mechanical Behavior of Biomedical Materials, 2024, 151: 106321

[28] Sun JG, Zou SM. Vibration response analysis of an underwater submersible. Journal of Ship Mechanics, 2015, 19(3): 303-310

[29] Szturomski B, Kiciński R. Simulation of the impact resistance of kilo type submarine loaded with non-contact mine explosion. Maritime Technical Journal, 2017, 208(1): 99-110

[30] Tang YH, Gao C, Wang XR, Li HC, Pang FZ. Study on acoustic radiation characteristics of composite material shell structures. Proceedings of 2019 Western China Acoustics Academic Exchange Conference, 201965-68

[31] Wang L, Ye C, Sun CQ, Feng SC, Xie XZ, Gao Y, Zhao K, Li YQ, Wan ZQ. Experiment investigation on compressive dwell fatigue behavior of titanium alloy pressure hull for deep-sea manned submersibles. Ocean Engineering, 2024, 303: 117646

[32] Wang ML, Chen Y, Gao WQ, Li Z, Zhang J. Theoretical and numerical study of the buckling of steel-composite cylindrical shells under axial compression. Applied Ocean Research, 2024, 153: 104221

[33] Wang F, Zhang SJ, Yu S, Du QH, Zhang J, Jiang Z, Cui WC. Design and analysis on a model sphere made of maraging steel to verify the applicability of the current design code. Ships Offshore Structure, 2019, 14(1): 86-94

[34] Walker M, Smith RE. A technique for the multiobjective optimisation of laminated composite structures using genetic algorithms and finite element analysis. Composite Structures, 2003, 62(1): 123-128

[35] Wu DT, Su JP, Chen F, Shi SK, Hua HX. Analytical study on vibration behaviors of pump-jet–shaft–submarine hull system in wavenumber–frequency domain. Thin-Walled Structures, 2023, 187: 110718

[36] Xie YY, Yu C, Ni L, Yu JH, Zhang YF, Qiu JS. Carbon-hybridized hydroxides for energy conversion and storage: Interface chemistry and manufacturing. Advanced Materials, 2023, 35(14): 2209652

[37] Xu HJ, Lv WJ, Zhou Y, Hu ZM, Zhang WJ. Mechanical impedance characteristics analysis of deep diving vehicle pressure hull. Ship Science and Technology, 2011, 33(1): 74-77

[38] Xu ZYLightweight design optimization of cylindrical shells under external hydrostatic, 2020WuhanHuozhong University of Science & Technology

[39] Yang ZY, Pang YJ, Wang J, Song L. Application of a response surface model in multi-objective optimization for submersible shapes. Journal of Harbin Engineering University, 2011, 32(4): 407-410

[40] Yang RY, SiMa C, Zhang JQ. Function analysis and hydrodynamic-performance design for the control rope fitted on the submersible. Journal of Ship Mechanics, 2011, 15(Z1): 66-73

[41] Yin L, Xu W, Fu J, Cheng G. Multi-directional broadband vibration control of marine pipe systems using mistuned cyclic symmetric structure as dynamic vibration absorbers. Ocean Engineering, 2025, 320: 120272

[42] Yu H, Li CF, Ren HL, Lin Y. Collision dynamic response research of a submersible. Journal of Harbin Engineering University, 2011, 32(12): 1527-1533

[43] Zhang RB, Li ZH, Sun QY, Yu GC, Wang XT, Wu LZ. Design and characterization of the carton fiber tube reinforced polymer composite for full ocean depth submersibles. Composites Science and Technology, 2022, 217: 109074

[44] Zhang N, Yu X, Ming FR. Blast resistance of composite laminates in underwater multilayer protective structures. Acta Armamentarii, 2021, 42(S1): 135-141

[45] Zhang NL, Ma JJ, Wu L. Research on the structure parameter feasible design region of deeper diving depth submarine pressure cylindrical shell. Ship Science and Technology, 2011, 33(8): 16-19

[46] Zhao SY, Liang S, Meng XS, Yan M. Vibration and impact performance analysis of impact isolator of ship inertial navigation equipment. Machinery Design & Manufacture Online, 2025

[47] Zhao HXNumerical simulation research on anti-knock performance of submersible composite dome, 2023HarbinHarbin Engineering University

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