Free and forced vibration characteristics of submerged finite elliptic cylindrical shell

Zhang, G.J.; Li, T.Y.; Zhu, Xiao; Yang, Jian; Miao, Yuyue

doi:10.1016/j.oceaneng.2016.11.014

“…Arbind studied the nonlinear kinematic characteristics of isotropic hyperelastic shells based on the general higher-order shell theory under quasi-static conditions [10] . In addition, Zhang [11] , Guo [12] , Liu [13] , Amabili [14] , and others studied the nonlinear vibration response and sound radiation characteristics of underwater cylindrical shells, partially submerged cylindrical shells, functionally graded material sandwich cylindrical shells, and truncated conical shells, and made a series of achievements, providing the theoretical basis for vibration and noise reduction of relevant equipment. However, the relevant research focuses on the inherent characteristics of the thin cylindrical shell from the perspectives of wave propagation and energy [15][16][17] , and little literature gives specific analytical solutions for the forced nonlinear vibration displacement response of the thin cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack

Wang

¹

,

Wang

²

,

Yin

³

et al. 2023

View full text Add to dashboard Cite

Thin cylindrical shells are susceptible to cracking under long-term load and external impact, and it is of considerable scientific and technical value to investigate the nonlinear vibration response characteristics and monitor the health condition of the shell structure. Based on the Flügge shell theory, the nonlinear dynamic model for the thin cylindrical shell is established. By the partial Fourier transform combined with the residue theorem, the forced vibration generation and propagation mechanism of the thin cylindrical shell are investigated, and the analytical solution of forced vibration displacement in the space domain is obtained. Then, the local flexibility matrix is derived from the perspective of fracture mechanics, and the continuous coordination condition on both sides of the straight crack is constructed using the Linear Spring Model (LSM). Combined with the wave superposition principle, the analytical approach for nonlinear vibration response is proposed to reveal the evolution law of vibration characteristics of the thin cylindrical shell with a straight crack, and then a straight crack identification method based on natural frequency isolines and amplitude maximization methods is presented. Finally, the effect of various morphological information of the straight crack on the nonlinear vibration response characteristics of the thin cylindrical shell is studied in detail, and a numerical case is conducted to verify the effectiveness of the proposed straight crack identification method.

show abstract

“…According to Eqs. (11)(12)(13), it can be found that the displacement amplitude of the thin cylindrical shell with a straight crack is highly symmetric, so only the half-cycle shell is analyzed. Seven circumferential monitoring points are set at x=2.2m, 2.4m, 2.6m, 2.8m, 3.0m, and A, B, C, D, E, and F from near to far.…”

Section: Forced Nonlinear Vibration Responsementioning

confidence: 99%

“…Arbind studied the nonlinear kinematic characteristics of isotropic hyperelastic shells based on the general higher-order shell theory under quasi-static conditions [10] . In addition, Zhang [11] , Guo [12] , Liu [13] , Amabili [14] , and others studied the nonlinear vibration response and sound radiation characteristics of underwater cylindrical shells, partially submerged cylindrical shells, functionally graded material sandwich cylindrical shells, and truncated conical shells, and made a series of achievements, providing the theoretical basis for vibration and noise reduction of relevant equipment. However, the relevant research focuses on the inherent characteristics of the thin cylindrical shell from the perspectives of wave propagation and energy [15][16][17] , and little literature gives specific analytical solutions for the forced nonlinear vibration displacement response of the thin cylindrical shell.…”

Section: Introductionmentioning

confidence: 99%

Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack

Wang

¹

,

Wang

²

,

Yin

³

et al. 2022

Preprint

View full text Add to dashboard Cite

Thin cylindrical shells are susceptible to cracking under long-term load and external impact, and it is of considerable scientific and technical value to investigate the nonlinear vibration response characteristics and monitor the health condition of the shell structure. Based on the Flügge shell theory, the nonlinear dynamic model for the thin cylindrical shell is established. By the partial Fourier transform combined with the residue theorem, the forced vibration generation and propagation mechanism of the thin cylindrical shell are investigated, and the analytical solution of forced vibration displacement in the space domain is obtained. Then, the local flexibility matrix is derived from the perspective of fracture mechanics, and the continuous coordination condition on both sides of the straight crack is constructed using the Linear Spring Model (LSM). Combined with the wave superposition principle, the analytical approach for nonlinear vibration response is proposed to reveal the evolution law of vibration characteristics of the thin cylindrical shell with a straight crack, and then a straight crack identification method based on natural frequency isolines and amplitude maximization methods is presented. Finally, the effect of various morphological information of the straight crack on the nonlinear vibration response characteristics of the thin cylindrical shell is studied in detail, and a numerical case is conducted to verify the effectiveness of the proposed straight crack identification method.

show abstract

“…The shells were meshed using Shell 181 elements 18,19 and FSI was modelled using acoustic elements 12,20 . The fluid was modelled using 3D Fluid 30 elements.…”

Section: Modal Analysis Using Ansysmentioning

confidence: 99%

Study of Vibration Behaviour of Stiffened Polymer Composite Shells for Underwater Structural Applications

Patil¹,

Murthy²,

Srivatsa³

et al. 2020

View full text Add to dashboard Cite

This paper presents vibration behavior of ring stiffened polymer composite thick shells used for underwater structures. Filament wound shells stiffened with internal and external rings and with hemispherical ends were tested for vibration in air and water in free-free boundary condition using roving hammer and fixed response method. Modal testing of the shells was performed under hydrostatic loading in a custom designed buckling tester for determining natural frequency at higher sea depths. Accelerometer was mounted on the inner surface of the shell. It was excited using a plumbob, rope and pulley arrangement. Experimental results were validated by modal analysis using Hyperworks and ANSYS. Vibration behavior in water was simulated by Fluid structure interaction approach. Experimental first natural frequency in water was lesser than that in air. With increase in hydrostatic pressure, the shell showed moderate variation in natural frequency. The experimental and numerical results of natural frequency and mode shapes were in good agreement with each other. Natural frequencies were lower in long and thick shells.

show abstract

Free and forced vibration characteristics of submerged finite elliptic cylindrical shell

Cited by 24 publications

References 25 publications

Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack

Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack

Analytical approach for nonlinear vibration response of the thin cylindrical shell with a straight crack

Study of Vibration Behaviour of Stiffened Polymer Composite Shells for Underwater Structural Applications

Contact Info

Product

Resources

About