Size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeams

被引：19

作者：

Zhang, Nan ^{[1
,2
]}

Zheng, Shijie ^{[1
]}

Chen, Dejin ^{[3
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China

[2] Qingdao Univ Technol, Sch Informat & Control Engn, Qingdao 266520, Peoples R China

[3] Liaoning Hongyanhe Nucl Power Co Ltd, Dalian 116001, Peoples R China

来源：

MECCANICA | 2022年 / 57卷 / 7期

基金：

中国国家自然科学基金;

关键词：

Flexomagnetic effect; Curved nanobeam; Static bending; Free vibration; Buckling; RESPONSES; BEAM;

D O I：

10.1007/s11012-022-01506-8

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Based on Hamilton's variational principle, strain gradient theory and Timoshenko curved nanobeam model, governing equations and corresponding boundary conditions are derived. Governing differential equations are transformed into algebraic equations by employing Navier method, thus an analytical solution for size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeam is established. Influences of opening angle, aspect ratio and scale parameter on bending deformation, free vibration and stability are discussed in detail. Compared and validated with available investigations, a good agreement is found.

引用

页码：1505 / 1518

页数：14

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