Piezoelectric composite cylindrical shells operating in a steady state axisymmetric temperature are analyzed using a semi-analytical finite element method. Numerical studies are conducted on a clamped-clamped composite cylindrical shell for three typical length to radius ratios. The static thermal buckling analysis is carried out for a single layered composite cylindrical shell with different fiber orientation and hence study its influence on thermal buckling temperature. The influence of axisymmetric temperature on the natural frequencies and active damping ratio of the piezoelectric cylindrical shell is also examined. Two configurations of composite laminates: symmetric and antisymmetric with varying the number of plies is also considered to examine the effect on thermal buckling temperature. © 2002 Elsevier Science Ltd. All rights reserved.

Natrajan Ganesan

Buckling

ELASTICITY

finite element method

Thermal effects

THERMAL BUCKLING TEMPERATURE

Composite structures

Fiber orientation

FIBER REINFORCED COMPOSITE

mathematical analysis

temperature effect

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Buckling and dynamic analysis of piezothermoelastic composite cylindrical shell

Composite Structures

An active constrained beam subjected to temperature was analyzed for its vibration and damping behavior under thermal environment. The loss factor variation and frequency variation in respect to temperature considering the the temperature dependent core shear modulus and temperature dependent material loss factor of the core were reported. The temperature field in the beam was calculated by using 4 noded rectangular elements. Results indicated that as core thickness increases, passive damping in the beam increases.

Journal of Sound and Vibration

Vibration behavior of ACLD treated beams under thermal environment

Linear thermal buckling and free vibration analysis are presented for functionally graded cylindrical shells with clamped-clamped boundary condition based on temperature-dependent material properties. The material properties of functionally graded materials (FGM) shell are assumed to vary smoothly and continuously across the thickness. With high-temperature specified on the inner surface of the FGM shell and outer surface at ambient temperature, 1D heat conduction equation along the thickness of the shell is applied to determine the temperature distribution; thereby, the material properties based on temperature distribution are made available for thermal buckling and free vibration analysis. First-order shear deformation theory along with Fourier series expansion of the displacement variables in the circumferential direction are used to model the FGM shell. Numerical studies involved the understanding of the influence of the power-law index, r/h and l/r ratios on the critical buckling temperature. Free vibration studies of FGM shells under elevated temperature show that the fall in natural frequency is very drastic for the mode corresponding to the lowest natural frequency when compared to the lowest buckling temperature mode. © 2005 Elsevier Ltd. All rights reserved.

Buckling and free vibration analysis of functionally graded cylindrical shells subjected to a temperature-specified boundary condition

Numerical results on the thermal buckling temperature of geometrically perfect HS-Graphite/Epoxy hemispherical shells with cut-out at apex subjected to uniform temperature distribution is presented. The numerical computation is based on the general shell of revolution semi-analytical finite element applicable to moderately thick shells. Studies are presented considering parameters like ratio of base radius to thickness of shell, size of the cut-out at apex and fibre orientation of the lamina and their effects are examined on the magnitude of the buckling temperature. An in-depth study on the magnitude and distribution of the total effective stress resultants and moment resultants is used to explain the role of these quantities on the magnitude of the lowest thermal buckling temperature. It is found that for a given geometry, uniform temperature rise and edge conditions the lowest buckling temperature of a hemispherical shell is mainly due to the large magnitude of the hoop stress resultant close to the edges of the hemispherical shell and also depends on the distribution of hoop stress resultants. © 2004 Elsevier Ltd. All rights reserved.

A theoretical analysis of linear thermoelastic buckling of composite hemispherical shells with a cut-out at the apex

Cylindrical shell filled with hot liquid is analyzed for buckling and vibration behavior using semi-analytical finite element method. A parametric study is conducted on a 316L stainless-steel cylinder filled with hot liquid. The temperature distribution in shell domain is obtained by using axisymmetric eight-node ring finite elements, capable of taking axial variation of temperature into account. Three-node ring elements are used for buckling and vibration analysis, formulated using semi-analytical finite element method. Thermal stress resultants and moment resultants in the shell are estimated and static buckling analysis is carried out to find the buckling temperature of the container for different levels of filling of liquid and for two different boundary conditions. Free vibration analysis carried out by considering initial stress effect and added mass effect due to hot liquid. Two different geometries are considered to study the effect of geometry on buckling temperature. © 2004 Elsevier Ltd. All rights reserved.

Buckling and vibration of circular cylindrical shells containing hot liquid

Thermoelastic buckling and free vibration analysis of geometrically perfect isotropic hemispherical shells subjected to axisymmetric temperature variation are presented. First order shear deformation theory is used to analyze the moderately thick elastic hemispherical shells. The variations of various field variables are assumed in the circumferential direction and the finite element matrices used in the numerical studies are based on the semi-analytical method. The formulation is validated for thermal buckling strains available in the literature. Thermal buckling temperatures are evaluated for deep shells having a cut-out at the apex. Parameters considered in the study include hemispherical shells with a/h ratios of 100 and 500 and each with cut-out angle at apex equal to 7°, 30° and 45°. Boundary conditions considered are clamped-clamped and clamped-free. A study on the distribution of the stress resultants due to thermal loading is examined in order to relate their influence on the buckling temperature of the shells with respect to above-stated geometric parameters. The effect of temperature on the free vibration natural frequency of the hemispherical shell is also analyzed. © 2003 Elsevier Ltd. All rights reserved.

Studies on linear thermoelastic buckling and free vibration analysis of geometrically perfect hemispherical shells with cut-out

Active damping in a smart cylindrical shell using piezoelectric sensors/actuators is studied. The electrodes on the sensors/actuators are spatially shaped to reduce spillover between circumferential modes. A three-noded, isoparametric, semianalytical finite element is developed and used to model the cylindrical shell. The element is based on a mixed piezoelectric shell theory that makes a single layer assumption for the displacements and a layerwise assumption for the electric potential. The effects of axial and circumferential mode number, length to radius ratio, radius to thickness ratio of the shell, percentage of the area of the shell covered with piezoelectric material, and the location of the collocated sensor/actuator on the shell on the active damping ratio of the shell are studied. © 2000 Sage Publications, Inc.

Fulltext

JVC/Journal of Vibration and Control

Semianalytical finite element analysis of active damping in smart cylindrical shells

The linear buckling analysis of laminated composite cylindrical and conical shells under thermal load using the finite element method is reported here. Critical temperatures are presented for various cases of cross-ply and angle-ply laminated shells. The effects of radius/thickness ratio, number of layers, ratio of coefficients of thermal expansion, and the angle of fiber orientation have been studied. The results indicate that the buckling behavior of laminated shell under thermal load is different from that of mechanically loaded shell with respect to the angle of fiber orientation. © 1990 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

Journal	Composite Structures
ISSN	02638223
Open Access	No