Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory

被引：0
|
作者：
Bekir Akgöz
Ömer Civalek
机构：
[1] Akdeniz University,Civil Engineering Department, Division of Mechanics
来源：
Meccanica | 2013年 / 48卷
关键词：
Micro plates; Elastic medium; Size effect; Modified couple stress theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Analytical solutions for bending, buckling, and vibration of micro-sized plates on elastic medium using the modified couple stress theory are presented. The governing equations for bending, buckling and vibration are obtained via Hamilton’s principles in conjunctions with the modified couple stress and Kirchhoff plate theories. The surrounding elastic medium is modeled as the Winkler elastic foundation. Navier’s method is being employed and analytical solutions for the bending, buckling and free vibration problems are obtained. Influences of the elastic medium and the length scale parameter on the bending, buckling, and vibration properties are discussed.
引用
收藏
页码：863 / 873
页数：10
相关论文
共 50 条
  • [1] Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory
    Akgoz, Bekir
    Civalek, Omer
    MECCANICA, 2013, 48 (04) : 863 - 873
  • [2] THE VIBRATION OF NANOBEAM RESTING ON ELASTIC FOUNDATION USING MODIFIED COUPLE STRESS THEORY
    Togun, Necla
    Bagdatli, Suleyman M.
    TEHNICKI GLASNIK-TECHNICAL JOURNAL, 2018, 12 (04): : 221 - 225
  • [3] Dynamic instability analysis for S-FGM plates embedded in Pasternak elastic medium using the modified couple stress theory
    Park, Weon-Tae
    Han, Sung-Cheon
    Jung, Woo-Young
    Lee, Won-Hong
    STEEL AND COMPOSITE STRUCTURES, 2016, 22 (06): : 1239 - 1259
  • [4] Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method
    Roque, C. M. C.
    Ferreira, A. J. M.
    Reddy, J. N.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 4626 - 4633
  • [5] Vibration Analysis of Thick Functionally Graded Micro-plates Using HOSNDPT and Modified Couple Stress Theory
    E. Mohseni
    A. R. Saidi
    M. Mohammadi
    Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2019, 43 : 641 - 651
  • [6] Vibration Analysis of Thick Functionally Graded Micro-plates Using HOSNDPT and Modified Couple Stress Theory
    Mohseni, E.
    Saidi, A. R.
    Mohammadi, M.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING, 2019, 43 (Suppl 1) : 641 - 651
  • [7] Nonlinear deformation analysis of magneto-electro-elastic nanobeams resting on elastic foundation by using nonlocal modified couple stress theory
    Zheng, Yu-fang
    Zhou, Yang
    Wang, Feng
    Chen, Chang-ping
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2024, 103
  • [8] The size-dependent vibration analysis of micro-plates based on a modified couple stress theory
    Jomehzadeh, E.
    Noori, H. R.
    Saidi, A. R.
    PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 43 (04): : 877 - 883
  • [9] 3D elasticity analytical solution for bending of FG micro/nanoplates resting on elastic foundation using modified couple stress theory
    Salehipour, Hamzeh
    Nahvi, Hassan
    Shahidi, AliReza
    Mirdamadi, Hamid Reza
    APPLIED MATHEMATICAL MODELLING, 2017, 47 : 174 - 188
  • [10] VIBRATION ANALYSIS OF MICROSCALE PLATES BASED ON MODIFIED COUPLE STRESS THEORY
    Li Yin Qin Qian Lin Wang 1 Wei Xia(Department of Mechanics
    Acta Mechanica Solida Sinica, 2010, 23 (05) : 386 - 393
12345