Vibration analysis of bi-layered FGM cylindrical shells

Abstract

In the present study, a vibration frequency analysis of a bi-layered cylindrical shell composed of two independent functionally graded layers is presented. The thickness of the shell layers is assumed to be equal and constant. Material properties of the constituents of bi-layered functionally graded cylindrical shell are assumed to vary smoothly and continuously through the thickness of the layers of the shell and are controlled by volume fraction power law distribution. The expressions for strain-displacement and curvature-displacement relationships are utilized from Love's first approximation linear thin shell theory. The versatile Rayleigh-Ritz approach is employed to formulate the frequency equations in the form of eigenvalue problem. Influence of material distribution in the two functionally graded layers of the cylindrical shells is investigated on shell natural frequencies for various shell parameters with simply supported end conditions. To check the validity, accuracy and efficiency of the present methodology, results obtained are compared with those available in the literature.

Effects of Ring Support and Internal Pressure on the Vibration Behavior of Multiple Layered Cylindrical Shells

“…The purpose of this comparison is to ensure that the obtained magnitudes of the natural frequencies are of the same order as those reported in the literature. However, deviations are observed because in this study first order shear deformation theory is used but in references [17,30] classical shell theory was used. Another difference is related to the kind of materials used in this study, stainless steel and aluminum.…”

“…Malekzadeh et al [29] presented the dynamic response of circular cylindrical shells made of composite materials. Arshad et al [30] investigated the vibration of cylindrical shell made of two layers which were functionally graded.…”

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

“…Arshad et al [12] also extended their work of reference [10] to study the natural frequencies of FGM cylindrical shells under the influence of various boundary conditions with exponential volume fraction law. Arshad et al [13,14] also evaluated natural frequencies of bi-layered cylindrical shells by inserting different materials in the layers of the shells. Rayleigh-Ritz numerical technique has been employed to solve the governing equations of motions in the references [9][10][11][12][13][14].…”

“…Arshad et al [13,14] also evaluated natural frequencies of bi-layered cylindrical shells by inserting different materials in the layers of the shells. Rayleigh-Ritz numerical technique has been employed to solve the governing equations of motions in the references [9][10][11][12][13][14]. Fluid-filled cylindrical shells have paramount importance in engineering and industries to design pressure vessels, fluid tanks and underground pipe fitting.…”

Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique

“…Understanding of free vibration behavior of these structures is an important task for the successful applications. So, many studies have been made by researchers on this eld [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”