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Research Papers: Materials Technology

Effects of Joint Discontinuity on the Vibration Power Flow Propagation in a Submerged Cylindrical Shell

[+] Author and Article Information
Yun Wang

e-mail: wangyun07@mails.tsinghua.edu.cn

Gangtie Zheng

e-mail: gtzheng@mail.tsinghua.edu.cn
School of Aerospace,
Tsinghua University,
Beijing 100084, China

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received December 21, 2012; final manuscript received July 20, 2013; published online September 4, 2013. Assoc. Editor: Xin Sun.

J. Offshore Mech. Arct. Eng 135(4), 041402 (Sep 04, 2013) (10 pages) Paper No: OMAE-12-1111; doi: 10.1115/1.4025151 History: Received December 21, 2012; Revised July 20, 2013

The propagation characteristics of the vibration power flow in a submerged cylindrical shell with joint discontinuity are investigated by the wave propagation approach. The motion of the cylindrical shell and the pressure field in fluid are described by the Flügge shell theory and the Helmholtz equation, respectively. And the dynamic equations of the system are obtained by the coupling between the shell and the fluid. Then, an analysis of the vibration power flow transmission and reflection at the joint discontinuity is presented and the power flow transmission ratio Tr through the joint discontinuity is studied. Results show that the joint discontinuity can reduce the mean value of the Tr and thus, reduce the energy level of the transmitted vibration, as it has the effect of partially reflecting some of the incident wave with relations to its physical and geometric parameters. The influences of the fluid and the material damping of the joint discontinuity are also studied.

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Figures

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Fig. 1

Coordinate system and modal shapes of cylindrical shell

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Fig. 2

Arrangement of the joint discontinuity

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Fig. 3

Power flow transmission ratio Tr with variation of the Young's modulus Eb of the joint discontinuity, ——— Joint B (Eb = 1.0 × 109 Pa), - - - - - Joint A (Eb = 2.0 × 109 Pa), – . – . – .  Joint C (Eb = 3.0 × 109 Pa)

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Fig. 4

Power flow transmission ratio Tr with variation of the nondimensional thickness hb/Rs of the joint discontinuity, ——— Joint A (hb/Rs = 0.05), - - - - - Joint D (hb/Rs = 0.1),  – . – . – .  Joint E (hb/Rs = 0.2)

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Fig. 5

Power flow transmission ratio Tr with variation of the nondimensional length L/Rs of the joint discontinuity, ——— Joint F (L/Rs = 0.1), - - - - - Joint G (L/Rs = 1.0), ·········· Joint A (L/Rs = 2.0),  – . – . – .  Joint H (L/Rs = 4.0)

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Fig. 6

Power flow transmission ratio Tr of Joint A: ——— In vacuo, - - - - - submerged in water

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Fig. 7

Power flow transmission ratio Tr with variation of the material damping ηv of the joint discontinuity, ——— Joint A (ηv = 0.00), - - - - - Joint I (ηv = 0.05), ·········· Joint J (ηv = 0.10),  – . – . – .  Joint K (ηv = 0.50)

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