矩形纳米片条的自由振动

The proceedings of the 13th international conference "Modern Building Materials, Structures and Techniques" (MBMST 2019) Pub Date : 2019-12-03 DOI:10.3846/mbmst.2019.026

J. Lellep, Mainul Hossain

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引用次数: 0

摘要

利用非局部弹性理论研究了纳米梁和纳米片的固有振动。振动分析基于A. C. Eringen提出的尺寸相关非局部弹性理论。假设所考虑的纳米结构具有矩形截面，尺寸恒定，并且纳米板因缺陷而变弱。裂纹对纳米板振动的影响是借助于先前论文中提出的附加局部柔度来评估的。给出了一阶和两阶纳米板的数值计算结果。

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Free vibration of rectangular nanoplate strips

Natural vibrations of nanobeams and nanosheets are investigated with the help of nonlocal theories of elasticity. The vibration analysis is based on the size-dependent non-local theory of elasticity developed by A. C. Eringen. It is assumed that the nano-structures under consideration have rectangular cross sections with piece wise constant dimensions and that the nanoplates are weakened with defects. The influence of the crack on the vibration of the nanoplate is assessed with the aid of additional local compliance developed in previous papers. Numerical results are presented for one- and two-stepped nanoplates.

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The proceedings of the 13th international conference "Modern Building Materials, Structures and Techniques" (MBMST 2019)

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