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Static bending of isotropic circular cylindrical shells based on the higher order shear deformation theory of Reddy and Liu

Nwoji C. U., Ani D. G., Oguaghamba O. A., Ibeabuchi V. T.

International Journal of Applied Mechanics and Engineering

2021

Vol. 26, no. 3

141--162

In this paper, a displacement based shear deformation theory formulated on the cubic in-plane displacement field equation of Reddy and Liu is presented for the static bending analysis of isotropic circular cylindrical shells. The adopted displacement field accounts for a quadratic (parabolic) distribution of the transverse shear through the shell thickness as well as satisfies the need for a stress free upper and lower boundary surfaces of the shell. The equations of static equilibrium are obtained on application of the principle of virtual work. Numerical results of the bending analysis for the displacements and stresses are presented for the simply supported shell. A comparison made to those of the Kirchhoff-Love theory for varying shell length to mean – radius of curvature ratios, shows good agreement for thin shells irrespective of the shell length to radius of curvature ratio [...]. The transverse sharing effect is found to be noticeable in the deformation of thick shells, however, this effect diminishes with a continuous increase in [...] ratios.

Vibration Analysis of Electrorheological Fluid Filled Cylindrical Shell for Harmonic Drive

Tylikowski A.

Machine Dynamics Problems

2004

Vol. 28, No. 2

107-117

This study presents vibration analysis of a closed cylindrical shell and annular plate partially filled with the controllable fluids. The shell is connected with an annular plate clamped at the inner edge. The transverse plate displacement is taken in to account. The analysis will use the Kirchhoff-Love theory to describe the thin shell motion. The viscous model of external damping with the constant coefficient is assumed to describe the dissipation of the shell energy. Inside the main flexpline the closed cylindrical shell is axisymmetrically mounted, in such a way that the space between the shells is filled by the controllable fluid and the both annular ends are sealed. The analysed structure as a part of harmonic drive can generate vibration due to the wave generator operation. Assuming a harmonic single frequency excitation at the end x = 0 steady-state responses of dynamics equations are sought as harmonics with the same angular velocity. The fluid-filled laminated cylindrical shell and annular plate has shown an increased and controllable damping capacity as compared to the conventional shell.