Free vibrations of moderately thick truncated conical shells filled with quiescent fluid

Date

2016-05-01

Author

Rahmanian, M.
Firouz-Abadi, R. D.
Ciğeroğlu, Ender

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

67
views

0
downloads

A novel reduced order formulation is proposed for the vibration analysis of conical shells containing stationary fluid. Hamiltonian approach is followed to obtain the governing equations of motion for the structure. Utilizing the Navier-Stokes equations and simplifying for irrotational, compressible and inviscid assumptions, the final fluid equation is obtained. A general solution based on the Galerkin method is proposed for the conical shell in vacuum. Several boundary conditions are investigated to show the capability of the proposed solution. A novel reduced order formulation based on the finite element method is developed for solution of the fluid equation. Static condensation technique is also utilized to minimize the required number of degrees of freedom and speed up the solution. The main advantage of the current solution method is the use of minimal number of degrees of freedom yet giving highly accurate results. Effects of added mass, semi-vertex angle, boundary conditions and different fluid containments on the natural frequencies of the coupled-field problem are studied and some useful conclusions are drawn.

Subject Keywords

Conical shell, Fluid-structure interaction, Reduced order model, Added mass frequency, Static condensation technique

URI

https://hdl.handle.net/11511/42033

Journal

JOURNAL OF FLUIDS AND STRUCTURES

DOI

https://doi.org/10.1016/j.jfluidstructs.2016.04.005

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Dynamics and stability of conical/cylindrical shells conveying subsonic compressible fluid flows with general boundary conditions Rahmanıan, M.; Fırouz-Abadı, R. D.; Ciğeroğlu, Ender (2017-01-01) A fast and efficient reduced order formulation is presented for the first time to study dynamics and stability of conical/cylindrical shells with internal fluid flows. The structural and fluid formulations are developed based on general assumptions to avoid any deficiency due to modeling. Their respective solutions and the final solution to the coupled field problem are also developed in a way to be capable of capturing any desirable set of boundary conditions. In addition to the flexibility provided'by the...
Acoustic radiation from a fluid-filled, subsurface vascular tube with internal turbulent flow due to a constriction Yazıcıoğlu, Yiğit; Spohnholtz, Todd; Martin, Bryn; Loth, Francis; Bassiouny, Hisham S. (Acoustical Society of America (ASA), 2005-08-01) The vibration of a thin-walled cylindrical, compliant viscoelastic tube with internal turbulent flow due to an axisymmetric constriction is studied theoretically and experimentally. Vibration of the tube is considered with internal fluid coupling only, and with coupling to internal-flowing fluid and external stagnant fluid or external tissue-like viscoelastic material. The theoretical analysis includes the adaptation of a model for turbulence in the internal fluid and its vibratory excitation of and interac...
Forced vibrations of functionally graded annular and circular plates by domain-boundary element method Eshraghi, Iman; Dağ, Serkan (Wiley, 2020-08-01) Axi-symmetric dynamic response of functionally graded circular and annular Mindlin plates with through-the-thickness variations of physical properties is investigated by a new domain-boundary element formulation. Three governing partial differential equations of motion of the inhomogeneous plate are converted to integral equations by utilizing the static fundamental solutions of the displacement components. These integral equations are then spatially discretized by dividing the entire domain into a number o...
Free vibration characteristics of a 3d mixed formulation beam element with force-based consistent mass matrix Soydas, Ozan; Sarıtaş, Afşin (2017-09-01) In this analytical study, free vibration analyses of a 3d mixed formulation beam element are performed by adopting force-based consistent mass matrix that incorporates shear and rotary inertia effects. The force-based approach takes into account the actual distribution of mass of an element in the derivation of the mass matrix. Moreover, the force-based approach enables accurate determination of free vibration frequencies of members with varying geometry and material distribution without any need for specif...
Computational elastodynamics of functionally graded thick-walled cylinders and annular coatings subjected to pressure shocks Abeidi, Abdelrahim; Dağ, Serkan (2022-12-01) A computational technique based on domain-boundary element method (D-BEM) is developed for elastodynamic analysis of functionally graded thick-walled cylinders and annular coatings subjected to pressure shock type of loadings. The formulation is built on the wave equation, which is derived in accordance with plane elastody-namics. Weighted residual statement for the wave equation is expressed by using the static fundamental solution as the weight function. Applying integration by parts and incorporating the...

Citation Formats

M. Rahmanian, R. D. Firouz-Abadi, and E. Ciğeroğlu, “Free vibrations of moderately thick truncated conical shells filled with quiescent fluid,” JOURNAL OF FLUIDS AND STRUCTURES, pp. 280–301, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42033.