caa a22 4500 445811536 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00419-010-0484-x doi (NATIONALLICENCE)springer-10.1007/s00419-010-0484-x Differential transform vibration and modal stress analyses of circular plates made of two-directional functionally graded materials resting on elastic foundations [Elektronische Daten] [M. Shariyat, M. Alipour] In the present paper, the differential transformation method is employed to develop a semi-analytical solution for free vibration and modal stress analyses of two-dimensional functionally graded circular plates resting on two-parameter elastic foundations. Simultaneous variations of the material properties in the radial and transverse directions are described by a general function. Some comprehensive sensitivity analyses are performed, and the natural frequencies and the modal stresses are extracted for free, simply supported, and clamped boundary conditions and different combinations of the geometric, material, and foundation parameters. Therefore, very complex combinations of the material properties, boundary conditions, and parameters of the elastic foundation are considered in the present semi-analytical solution approach. Thus, many novelties are included in the present research. Comparisons made between the present results and results reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. Moreover, the paper treats some interesting problems, for the first time. Springer-Verlag, 2010 Differential transform nationallicence Vibration nationallicence Modal stress analysis nationallicence Circular plate nationallicence Two-directional functionally graded materials nationallicence Elastic foundation nationallicence Shariyat M. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Pardis Street, Molla-Sadra Street, Vanak Square, 19991-43344, Tehran, Iran aut Alipour M. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Pardis Street, Molla-Sadra Street, Vanak Square, 19991-43344, Tehran, Iran aut Archive of Applied Mechanics Springer-Verlag 81/9(2011-09-01), 1289-1306 0939-1533 81:9<1289 2011 81 419 https://doi.org/10.1007/s00419-010-0484-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0484-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Shariyat M. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Pardis Street, Molla-Sadra Street, Vanak Square, 19991-43344, Tehran, Iran aut NATIONALLICENCE 700 1- Alipour M. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Pardis Street, Molla-Sadra Street, Vanak Square, 19991-43344, Tehran, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/9(2011-09-01), 1289-1306 0939-1533 81:9<1289 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer