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

被引:0
|
作者
Nan Zhang
Shijie Zheng
Dejin Chen
机构
[1] Nanjing University of Aeronautics and Astronautics,State Key Laboratory of Mechanics and Control of Mechanical Structures
[2] Qingdao University of Technology,School of Information and Control Engineering
[3] Liaoning Hongyanhe Nuclear Power Co Ltd,undefined
来源
Meccanica | 2022年 / 57卷
关键词
Flexomagnetic effect; Curved nanobeam; Static bending; Free vibration; Buckling;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:1505 / 1518
页数:13
相关论文
共 50 条
  • [41] Bending, buckling and free vibration analysis of size-dependent functionally graded circular/annular microplates based on the modified strain gradient elasticity theory
    Ansari, R.
    Gholami, R.
    Shojaei, M. Faghih
    Mohammadi, V.
    Sahmani, S.
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2015, 49 : 251 - 267
  • [42] Size dependent vibration of curved nanobeams and rings including surface energies
    Assadi, Abbas
    Farshi, Behrooz
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 43 (04): : 975 - 978
  • [43] Size-dependent bending, buckling and free vibration of functionally graded Timoshenko microbeams based on the most general strain gradient theory
    Ansari, R.
    Gholami, R.
    Shojaei, M. Faghih
    Mohammadi, V.
    Sahmani, S.
    COMPOSITE STRUCTURES, 2013, 100 : 385 - 397
  • [44] An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation
    Zhang, Bo
    He, Yuming
    Liu, Dabiao
    Shen, Lei
    Lei, Jian
    APPLIED MATHEMATICAL MODELLING, 2015, 39 (13) : 3814 - 3845
  • [45] On the size-dependent bending and buckling of the partially covered laminated microplate
    Fu, Guangyang
    Zhang, Zhenjie
    Ma, Yulin
    Zheng, Hongyu
    Guo, Qianjian
    Zhuang, Xuye
    ENGINEERING WITH COMPUTERS, 2023, 39 (01) : 685 - 710
  • [46] On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments
    Ghadiri, Majid
    Mahinzare, Mohammad
    Shafiei, Navvab
    Ghorbani, Khashayar
    MICROSYSTEM TECHNOLOGIES-MICRO-AND NANOSYSTEMS-INFORMATION STORAGE AND PROCESSING SYSTEMS, 2017, 23 (10): : 4989 - 5001
  • [47] Flexoelectricity effect on the size-dependent bending of piezoelectric nanobeams resting on elastic foundation
    R. Ansari
    M. Faraji Oskouie
    S. Nesarhosseini
    H. Rouhi
    Applied Physics A, 2021, 127
  • [48] A nonlocal beam theory for bending, buckling, and vibration of nanobeams
    Thai, Huu-Tai
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2012, 52 : 56 - 64
  • [49] On the size-dependent bending and buckling of the partially covered laminated microplate
    Guangyang Fu
    Zhenjie Zhang
    Yulin Ma
    Hongyu Zheng
    Qianjian Guo
    Xuye Zhuang
    Engineering with Computers, 2023, 39 : 685 - 710
  • [50] On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments
    Majid Ghadiri
    Mohammad Mahinzare
    Navvab Shafiei
    Khashayar Ghorbani
    Microsystem Technologies, 2017, 23 : 4989 - 5001