Stresses in a cylindrical shell with an arbitrarily oriented crack

An analysis is presented of the problem of the stressed state of a cylindrical shell with an arbitrarily oriented crack for the general case of symmetrical and asymmetrical loads. Basic solutions and formulas are obtained for the stress intensity coefficients in crack tip regions.     

Stresses around an axial crack in a pressurized cylindrical shell

Perturbation solutions are obtained for stresses around the tip of an axial crack in a pressurized circular cylindrical shell. The analysis, using a differential equation approach, involves perturbation in a curvature parameter relating crack length to shell diameter and thickness. The results are valid for cracks of small length and agree completely with those obtained earlier by Folias by the method of integral equations.     

Vibration control of a simply supported cylindrical shell using a laminated piezoelectric actuator

Summary This paper develops a novel laminated piezoelectric actuator (LPA) to control the vibration of a cylindrical shell structure, which is fabricated through bonding multiple piezoelectric layers of the same property together. The electromechanically coupled equations of the system are derived based on the classic shell theory. A parametric study is then conducted to evaluate the effects of geometric and physical properties of the actuator on actuating forces. The results show that as the number of layers increases, the actuating forces per voltage produced by LPA in the axial, circumferential and radial directions of the shell all increase noticeably. The active vibration control of a simply supported cylindrical shell using LPA of different layer numbers is simulated as well under a velocity feedback scheme. It is indicated that with the same control voltage the LPA can obtain a better control performance than the conventional single layer piezoelectric actuator as expected and the targeted radial modal vibration of the shell is attenuated significantly.     

Free vibration response of composite sandwich cylindrical shell with flexible core

This study deals with the free vibration analysis of composite sandwich cylindrical shell with a flexible core using a higher order sandwich panel theory. The formulation uses the classical shell theory for the face sheets and an elasticity theory for the core and includes derivation of the governing equations along with the appropriate boundary conditions. The model consists of a systematic approach for the analysis of sandwich shells with a flexible core, having high-order effects caused by the nonlinearity of the in-plane and the vertical displacements of the core. The behavior is presented in terms of internal resultants and displacements in the faces, peeling and shear stresses in the face–core interface and stress and displacement field in the core. The accuracy of the solution is examined by comparing the results obtained with the analytical and numerical results published in the literatures. The parametric study is also included to investigate the effect of geometrical properties such as radius of curvature, length and sector angle of the shell.     

Nonlinear modes of vibrations for simply supported cylindrical shell with geometrical nonlinearity

The system of three partial differential equations with respect to displacements (Donnell equations) is used to analyze nonlinear vibrations of a cylindrical shell. The Galerkin method is applied to every partial differential equation to obtain a finite-degree-of-freedom model of the shell. The system of ordinary differential equations with respect to the general coordinates of the radial shell displacements is derived. The nonlinear modes of free vibrations are calculated using the harmonic balance method. The stability analysis of periodic motions is performed.     

Stressed state in a cylindrical shell weakened by two unequal openings

The method of finite elements is used for solving problems of orthotropic cylindrical shells made of composite materials with several unequal openings within the framework of a refined theory of the Timoshenko type. The initial region is subdivided into rectangular isoparametric elements. A numerical example of a cylindrical shell stressed by internal pressure is given. The effect of the shear stiffness and the radii of the openings on the stress concentration at the opening contours is investigated.Translated from Problemy Prochnosti, No. 9, pp. 34–38, September, 1992.     

Stresses in rotating composite cylindrical shells

Stresses in composite cylindrical shells rotating with a constant speed about their longitudinal axis are analyzed. Each ply or ply group is treated as a separate thin layer of homogeneous and orthotropic material under the interfacial stresses as surface loading. There is no limitation on the total thickness of the shell. The circumferential stress, motivated by the conventional thin shell theory, is assumed to vary linearly through the thickness of the layer. The radial stress is determined in terms of the circumferential stress through the equilibrium condition, and an average compatibility condition through the thickness of the thin layer is used. Numerical results using the present analysis show nearly perfect agreement with the exact solution for homogeneous and isotropic cylinders. Some results for cylinders having orthotropic layers are presented for illustrative purposes.     

An analytical method for thermal stresses of a functionally graded material cylindrical shell under a thermal shock

In this paper, the thermal stresses of a thin functionally graded material (FGM) cylindrical shell subjected to a thermal shock are studied. An analytical method is developed. The studied problem for an FGM cylindrical shell is reduced to a plane problem. A perturbation method is used to solve the thermal diffusion equation for FGMs with general thermal properties. Then, the transient thermal stresses are obtained. The results show that the thermal shock is much easier to result in failure than the steady thermal loading. The present method can also be used to solve the crack problem of an FGM cylindrical shell with general thermal properties.