Coupled vibration of partially fluid-filled cylindrical shells with ring stiffeners

Kim, Young-Wann; Lee, Young-Shin; Ko, Sung H.

doi:10.1016/j.jsv.2003.08.008

Cited by 28 publications

(11 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where m is the number of axial half-wave, n is circumferential wave number, I ixn is the modified Bessel function of first class and order i x n. It was used by [17,18], among others; it satisfies the boundary conditions at x=0,L, eq. (10) are determined by applying the impenetrability condition, second condition in eq.…”

Section: Fluid Equationsmentioning

confidence: 99%

The Influence of Internal Resonances on the Dynamics of Fluidfilled Cylindrical Shells

Silva¹,

Gonçalves²,

Prado³

2014

Proceedings of 10th World Congress on Computational Mechanics

View full text Add to dashboard Cite

Section: Fluid Equationsmentioning

confidence: 99%

The Influence of Internal Resonances on the Dynamics of Fluidfilled Cylindrical Shells

Silva¹,

Gonçalves²,

Prado³

2014

Proceedings of 10th World Congress on Computational Mechanics

View full text Add to dashboard Cite

“…By solving (14) together with boundary conditions (15.1), the following modal expression is obtained for the velocity potential [27,28]:…”

Section: Fluid Equationsmentioning

confidence: 99%

An alternative procedure for the non-linear vibration analysis of fluid-filled cylindrical shells

2011

View full text Add to dashboard Cite

Using Donnell non-linear shallow shell equations in terms of the displacements and the potential flow theory, this work presents a qualitatively accurate low dimensional model to study the nonlinear dynamic behavior and stability of a fluid-filled cylindrical shell under lateral pressure and axial loading. First, the reduced order model is derived taking into account the influence of the driven and companion modes. For this, a modal solution is obtained by a perturbation technique which satisfies exactly the in-plane equilibrium equations and all boundary, continuity, and symmetry conditions. Finally, the equation of motion in the transversal direction is discretized by the Galerkin method. The importance of each mode in the proposed modal expansion is studied using the proper orthogonal decomposition. The quality of the proposed model is corroborated by studying the convergence of frequency-amplitude relations, resonance curves, bifurcation diagrams, and time responses. The parametric analysis clarifies the influence of the lateral and axial loads on the non-linear vibrations and stability of the liquid-filled shell. Finally, the global response of the system is investigated in order to quantify the degree of safety of the shell in the presence of external perturbations through the use of bifurcation diagrams and basins of attraction. This allows one to evaluate the safety and dynamic integrity of the cylindrical shell in a dynamic environment.

show abstract

“…The potential energy for the thin isotropic cylindrical shell is given by (Kim et al, 2004;Soedel, 2003) …”

Section: The Cylindrical Shell Of the Containermentioning

confidence: 99%

“…From Love's thin shell theory, the strain and curvature e i , k i , i ¼ x, y, xy in the middle surface are as follows (Kim et al, 2004;Soedel, 2003):…”

Section: The Cylindrical Shell Of the Containermentioning

confidence: 99%

Coupled vibration of a partially fluid-filled cylindrical container with a cylindrical internal body

Askari

Daneshmand

2009

Journal of Fluids and Structures

View full text Add to dashboard Cite

Coupled vibration of partially fluid-filled cylindrical shells with ring stiffeners

Cited by 28 publications

References 14 publications

The Influence of Internal Resonances on the Dynamics of Fluidfilled Cylindrical Shells

The Influence of Internal Resonances on the Dynamics of Fluidfilled Cylindrical Shells

An alternative procedure for the non-linear vibration analysis of fluid-filled cylindrical shells

Coupled vibration of a partially fluid-filled cylindrical container with a cylindrical internal body

Contact Info

Product

Resources

About