TY - JOUR
ID - 11371
TI - On the temperature-dependent nonlinear vibrations of functionally graded Timoshenko beams
JO - Advanced Structural Mechanics
JA - ASM
LA - en
SN -
AU - Davoudvand, Arash
AU - Arvin, Hadi
AU - Kamil Żur, Krzysztof
AD - Faculty of Engineering Shahrekord Unievrsity
AD - Shahrekord University, Shahrekord, Iran
AD - Faculty of Mechanical Engineering, Bialystok University of Technology, Bialystok, Poland
Y1 - 2022
PY - 2022
VL - 1
IS - 1
SP - 1
EP - 13
KW - Nonlinear natural frequency
KW - FGM beams
KW - Elastic foundation
KW - Large amplitude vibrations
DO - 10.22034/asm.2023.14005.1005
N2 - In this study, the nonlinear free vibrations of an elastically supported beam composed of functionally graded materials (FGMs) are investigated. The beam is in contact with a two-parameter elastic medium and is under a thermal environment. The thermomechanical properties of the beam are dependent on the temperature. Kinetic and strain energy relations for the FGM beam are obtained according to the Timoshenko beam theory and the von Karman nonlinear displacement strain relations. In order to obtain the ratio of nonlinear to linear natural frequencies, the Ritz method is used in cooperation with a direct repetition method. The results are represented in terms of boundary condition length-to-thickness ratio, volume fraction power of the constituents, temperature and elastic foundation parameters. The results show that the increased length-to-thickness ratio for FGM beams with S-S, C-S and C-C supports, decreases the ratio of the first nonlinear to linear natural frequency, while for an FGM beam with C-F support, the mentioned frequency ratio increases. Moreover, increasing the volume fraction power of the constituents for the FGM beam with S-S, C-S and C-C boundary conditions increases the aforesaid frequency ratio initially, and thereafter it decreases. Meanwhile, changing the mentioned power has no effect on the frequency ratio related to a C-F FGM beam.
UR - https://asm.sku.ac.ir/article_11371.html
L1 - https://asm.sku.ac.ir/article_11371_e9f5847f5dcf5482768170d9ce07508d.pdf
ER -