阶梯纳米梁的自由振动

THE INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS AND EXPERIMENTAL MEASUREMENTS Pub Date : 2017-11-03 DOI:10.2495/cmem-v6-n4-716-725

J. Lellep, A. Lenbaum

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引用次数: 9

摘要

研究了由纳米材料制成的梁和杆的自由振动。假设纳米梁的截面尺寸是分段恒定的，并且假定梁的裂纹会削弱。预计纳米材料的振动行为可以用非局部弹性理论来描述，并且裂纹会引起额外的局部顺应性。后者与裂纹尖端的应力强度系数耦合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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FREE VIBRATIONS OF STEPPED NANO-BEAMS

Free vibrations of beams and rods made of nano-materials are investigated. It is assumed that the dimensions of cross sections of nano-beams are piecewise constant and that the beams are weakened with cracks. It is expected that the vibrational behaviour of the nano-material can be described within the non-local theory of elasticity and that the crack induces additional local compliance. The latter is coupled with the stress intensity coefficient at the crack tip.

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THE INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS AND EXPERIMENTAL MEASUREMENTS

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