If compressor manifolds are thin compared to the shortest wavel~ngth of i:r:tt~rest, the gene!al procedure developed by the authors [1, 2] for the analysis of curved, t~l? gas cav1hes can be apphed to the analysis of gas pulsations in multi-cylinder compres~?r head cav1t1es. The procedure for smgle input single output systems is extended to systems of multl-mputs. Four pole parameters and trans...

We investigate the dynamics of thin films driven by gravity on the outer surface of a cylinder and sphere. The surface is rigid, stationary and the axis of the cylinder is horizontal. An instantaneous release of a constant volume of fluid at the top of the cylinder or sphere results initially in a two-dimensional or axisymmetric current respectively. The resultant flow of a thin film of fluid i...

The paper deals with a periodic homogenization problem for a non-stationary convection-diffusion equation stated in a thin infinite cylindrical domain with homogeneous Neumann boundary condition on the lateral boundary. It is shown that homogenization result holds in moving coordinates, and that the solution admits an asymptotic expansion which consists of the interior expansion being regular i...

We introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ε and discuss the asymptotic behavior of the time harmonic solutions to the model when ε tends to 0. We obtain a reduced model settled in the cross-section of the cylinder describing the dynamics of the plane com...

We give an example of a spacetime having an infinite thin rotating cylindrical shell constituted by a charged perfect fluid as a source. Then we disscuss the energy conditions and we show that our spacetime contains closed timelike curves. Trajectories of charged test particles both inside and outside the cylinder are also examined. Expression for the angular velocity of a circular motion insid...

in this paper, simulation and analysis of thin steel cylindrical shells with elliptical cutouts under oblique loading were studied using finite element method. first, the numerical results were validated by the results of experimental test performed by an instron 8802 servo hydraulic machine. also, the effect of cutout angle (θ), cutout size, cutout position (l0/l) and cutout aspect ratios (b/a...

In this article, the axisymmetric mechanical buckling of thin cylindrical shell made of functionally graded material (FGM) is considered. The governing equations for a thin cylinder based on the first-order shell theory and Timoshenko's assumptions are obtained. The equations are derived using the Sanders simplified kinematic relations and the principle of work and energy. The constituent mater...

In this paper, classical thin shell theory is used to analyze vibration and critical speed of simply supported rotating orthotropic cylindrical shell. The effects of centrifugal and Coriolis forces due to the rotation are considered in the present for‌mulation.. In addition, axial load is applied on cylinder as a ratio of critical buckling load. Finally the effects of orthotropic ratio, materia...