Free vibration of a clamped-free circular cylindrical shell partially filled with liquid—Part I: Theoretical analysis

Chiba, Masakatsu; Yamaki, N.; Tani, Junji

doi:10.1016/0263-8231(84)90022-3

Cited by 49 publications

(15 citation statements)

References 11 publications

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“…In this case, the vibratory motions of the shell occur around this initial prestressed configuration. The hydrostatic pressure induces initial hoop stresses in the shell . It can be shown that the effect of prestress can be incorporated into the equations of motion via the nonlinear terms of strains .…”

Section: Mathematical Modeling Of the Fluid‐structure Coupled Systemmentioning

confidence: 99%

“…The hydrostatic pressure induces initial hoop stresses in the shell. 20 It can be shown that the effect of prestress can be incorporated into the equations of motion via the nonlinear terms of strains. 35,36 For a circular cylindrical shell subjected to the fluid hydrostatic pressure P 0 , the variation of potential energy due to this initial hoop stress can be obtained as…”

Section: Influence Of the Presence Of Fluid On Shell Equationsmentioning

confidence: 99%

“…Furthermore, the sloshing frequencies can be increased for some geometries of the container. Thus, the coupling between the hydroelastic modes of the shell, which is called bulging modes or structure‐driven coupled modes, and liquid sloshing modes is possible, and the dynamic response of such a system can only be deduced by a coupled analysis …”

Section: Introductionmentioning

confidence: 99%

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Sloshing effects on supersonic flutter characteristics of a circular cylindrical shell partially filled with liquid

Zarifian

Ovesy

Firouz-Abadi

2018

Numerical Meth Engineering

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Summary This paper aims to revisit the effect of sloshing on the flutter characteristics of a partially liquid‐filled cylinder. A computational fluid‐structure interaction model within the framework of the finite element method is developed to capture fluid‐structure interactions arising from the sloshing of the internal fluid and the flexibility of its containing structure exposed to an external supersonic airflow. The internal liquid sloshing is represented by a more sophisticated model, referred to as the liquid sloshing model, and the shell structure is modeled by Sanders' shell theory. The aerodynamic pressure loading is approximated by the first‐order piston theory. The initial geometric stiffness due to prestresses in the initial configuration stemming from the fluid hydrostatic pressure, internal pressure, and axial compression load is also considered. The obtained results reveal that the sloshing of the internal fluid has little influence on the supersonic flutter boundary of a cylinder partially filled with liquid, at least for the case considered here. It is also shown that the critical freestream static pressure predicted by the sloshing model is negligibly larger than that calculated by the hydroelastic model of the internal fluid, which means that the sloshing of the internal fluid slightly overestimates the flutter boundary.

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Section: Mathematical Modeling Of the Fluid‐structure Coupled Systemmentioning

confidence: 99%

Section: Influence Of the Presence Of Fluid On Shell Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sloshing effects on supersonic flutter characteristics of a circular cylindrical shell partially filled with liquid

Zarifian

Ovesy

Firouz-Abadi

2018

Numerical Meth Engineering

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“…The study on oval-type vibration of cylindrical liquid storage tanks was started in the 1960s as investigations of vibration and dynamic instability of a cylindrical shell partially filled with water. Chiba et al (1984Chiba et al ( , 1986 conducted vibration tests using small cylindrical containers and undertook a theoretical study using Donnell's shell theory. More recently, Amabili (2003) investigated nonlinear response of oval-type vibration using Donnell's nonlinear thin shell theory vigorously.…”

Section: Overview Of Previous Studies On Vibration Characteristics Anmentioning

confidence: 99%

Recent Advances in Seismic Response Analysis of Cylindrical Liquid Storage Tanks

Maekawa¹

2012

Earthquake-Resistant Structures - Design, Assessment and Rehabilitation

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“…Therefore, many vibration modes simultaneously occur when an excitation force such as earthquake motion is applied (Maekawa et al [2]). Beam-type vibration has been studied by Veletsos et al [3] and Fischer [4], whereas oval-type vibration has been studied by Chiba et al [5], Amabili [6] and Fujita and Saito [7]. The studies have included theoretical studies on oval-type vibration modes based on shell theory and experimental studies on oval-type vibration modes caused by exciting the tank wall directly.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of nonlinear oval-type vibration in cylindrical water storage tanks

Maekawa¹,

Fujita²

2009

WIT Transactions on the Built Environment

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This paper describes the numerical simulation of nonlinear oval-type vibration in cylindrical water storage tanks. Oval-type vibration is a high-order vibration mode in the circumferential direction of the tank wall (axial wave number 1 ≥ m and circumferential wave number 2 ≥ n ). In our previous vibration experiment in which large excitation was applied to the base of a cylindrical water storage tank, the nonlinear behavior of oval-type vibration occurred. Under large excitation, nonlinear oval-type vibration with sub-harmonics of order one-half occurred, as well as oval-type vibration with fundamental harmonics. The nonlinear behavior of oval-type vibration was simulated by the numerical analysis method proposed in this paper, which allowed coupling analysis between the fluid and structure and large deformation analysis to be considered. The analysis results were compared with experiment results, and the analytical vibration behavior coincided with the experimental behavior. Accordingly, it was concluded that the proposed numerical analysis method could accurately simulate the experiment.

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Free vibration of a clamped-free circular cylindrical shell partially filled with liquid—Part I: Theoretical analysis

Cited by 49 publications

References 11 publications

Sloshing effects on supersonic flutter characteristics of a circular cylindrical shell partially filled with liquid

Sloshing effects on supersonic flutter characteristics of a circular cylindrical shell partially filled with liquid

Recent Advances in Seismic Response Analysis of Cylindrical Liquid Storage Tanks

Numerical simulation of nonlinear oval-type vibration in cylindrical water storage tanks

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