Analytical Modelling of Coupled Vibrations of Elastically Supported Channels

An exact analytical method is presented for the analysis of forced vibrations of uniform thickness, open-section channels which are elastically supported at their ends. The centroids and the shear centers of the channel cross-sections do not coincide; hence the flexural and the torsional vibrations are coupled. Ends of the channels are constrained with springs which provide finite transverse, rotational and torsional stiffnesses. During the analysis, excitation is taken in the form of a point harmonic force and the channels are assumed to be of type Euler-Bernoulli beam with St.Venant torsion and torsional warping stiffness. The study uses the wave propagation approach in constructing the analytical model. Both uncoupled and double coupling analyses are performed. Various response and mode shape curves are presented.


Vibrations of open-section channels: A coupled flexural and torsional wave analysis
Yaman, Yavuz (Elsevier BV, 1997-07-03)
An exact analytical method is presented for the analysis of forced vibrations of uniform, open-section channels. The centroid and the shear center of the channel cross-sections considered do not coincide; hence the flexural and the torsional vibrations are coupled. In the context of this study, the type of any existing coupling is defined in terms of the independent motions which are coupled through mass and/or stiffness terms. Hence, if the flexural vibrations in one direction are coupled with the torsiona...
Numerical Analysis of Viscoelastic Fluids in Steady Pressure-Driven Channel Flow
YAPICI, KERİM; Karasözen, Bülent; Uludağ, Yusuf (2012-05-01)
The developing steady flow of Oldroyd-B and Phan-Thien-Tanner (PTT) fluids through a two-dimensional rectangular channel is investigated computationally by means of a finite volume technique incorporating uniform collocated grids. A second-order central difference scheme is employed to handle convective terms in the momentum equation, while viscoelastic stresses are approximated by a third-order accurate quadratic upstream interpolation for convective kinematics (QUICK) scheme. Momentum interpolation method...
Yaman, Yavuz (Elsevier BV, 2002-2)
An exact analytical method is presented for the analysis of forced vibrations of uniform, open-section, single- and multi-bay periodic channels. The centre of gravity and the shear centre of the channel cross-sections do not coincide, and hence the flexural vibrations in two mutually perpendicular directions and the torsional vibrations are all coupled. The ends of the channels and the periodic intermediate supports are modelled with springs having finite flexural and torsional stiffnesses. Single-point for...
Exact and FDM solutions of 1D MHD flow between parallel electrically conducting and slipping plates
Arslan, Sinem; Tezer, Münevver (Springer Science and Business Media LLC, 2019-08-01)
In this study, the steady, laminar, and fully developed magnetohydrodynamic (MHD) flow is considered in a long channel along with the z-axis under an external magnetic field which is perpendicular to the channel axis. The fluid velocity u and the induced magnetic field b depend on the plane coordinates x and y on the cross-section of the channel. When the lateral channel walls are extended to infinity, the problem turns out to be MHD flow between two parallel plates (Hartmann flow). Now, the variations of u...
Numerical solution of buoyancy MHD flow with magnetic potential
Pekmen, B.; Tezer, Münevver (2014-04-01)
In this study, dual reciprocity boundary element method (DRBEM) is applied for solving the unsteady flow of a viscous, incompressible, electrically conducting fluid in channels under the effect of an externally applied magnetic field and buoyancy force. Magnetohydrodynamics (MHD) equations are coupled with the energy equation due to the heat transfer by means of the Boussinessq approximation. Then, the 20 non-dimensional full MHD equations in terms of stream function, temperature, magnetic potential, curren...
Citation Formats
Y. Yaman, “Analytical Modelling of Coupled Vibrations of Elastically Supported Channels,” presented at the 6th International Conference on Recent Advances in Structural Dynamics (8 - 11 Eylül 1997), Southampton, England, 1997, Accessed: 00, 2021. [Online]. Available: