期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 23, 期 7, 页码 791-801出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2015.1029167
关键词
Nano-structures; vibration; size effect; modified couple stress theory; thin shell model
In this article, the functionally graded (FG) cylindrical thin shell formulation is developed by using modified couple stress theory. The equations of motion and classical and nonclassical boundary conditions are extracted based on Hamilton's principle. As a special case, the equations of motion in conjunction with the boundary conditions for simply supported FG cylindrical shell are obtained, and then Navier solution procedure is used for analysis free vibration of nano shell. Afterwards, the influences of different parameters like length scale parameter, distribution of FG properties, and length to radius ratio on dimensionless natural frequency are investigated and compared with classical theory.
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