caa a22 4500 445811927 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00419-010-0409-8 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0409-8 Vibration analysis of bi-layered FGM cylindrical shells [Elektronische Daten] [Shahid Arshad, Muhammad Naeem, Nazra Sultana, Abdul Shah, Zafar Iqbal] 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. Springer-Verlag, 2010 Natural frequencies nationallicence Cylindrical shells nationallicence Functionally graded materials nationallicence Bi-layered nationallicence Love's thin shell theory nationallicence Rayleigh-Ritz method nationallicence Lagrangian functional nationallicence Strain and kenetic energy nationallicence Arshad Shahid Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut Naeem Muhammad Department of Mathematics, G C University Faisalabad, 38000, Faisalabad, Punjab, Pakistan aut Sultana Nazra Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut Shah Abdul Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Punjab, Pakistan aut Iqbal Zafar Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut Archive of Applied Mechanics Springer-Verlag 81/3(2011-03-01), 319-343 0939-1533 81:3<319 2011 81 419 https://doi.org/10.1007/s00419-010-0409-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0409-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arshad Shahid Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut NATIONALLICENCE 700 1- Naeem Muhammad Department of Mathematics, G C University Faisalabad, 38000, Faisalabad, Punjab, Pakistan aut NATIONALLICENCE 700 1- Sultana Nazra Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut NATIONALLICENCE 700 1- Shah Abdul Department of Mathematics, The Islamia University of Bahawalpur, 63100, Bahawalpur, Punjab, Pakistan aut NATIONALLICENCE 700 1- Iqbal Zafar Department of Mathematics, University of Sargodha, 40100, Sargodha, Punjab, Pakistan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/3(2011-03-01), 319-343 0939-1533 81:3<319 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer