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• W2126046880 abstract "In the present work, the integral equation approach and the non-local elasticity theory are employed to investigate the free transverse vibrations of nano-to-micron scale beams. The frequency equation is analytically formulated into an eigenvalue problem of a matrix with an infinite order. The numerical calculation is implemented by truncating this matrix to a finite order one. It is found that the impact of the non-local effect on the natural frequencies and vibrating modes is negligible for the beams with micrometre scale length. But when the length of beams reaches the nanoscale, the non-local effect becomes important, especially for the high-order natural frequencies and vibrating modes." @default.
• W2126046880 created "2016-06-24" @default.
• W2126046880 creator A5046568548 @default.
• W2126046880 date "2006-04-27" @default.
• W2126046880 modified "2023-10-17" @default.
• W2126046880 title "Free transverse vibrations of nano-to-micron scale beams" @default.
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• W2126046880 doi "https://doi.org/10.1098/rspa.2006.1712" @default.
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