BENDING ANALYSIS OF DOUBLE VISCOELASTIC NANOPLATES BASED ON THE MODIFIED COUPLE STRESS THEORY AND RELAXATION THEORY

被引：0

作者：

Wang, S. Y. ^{[1
]}

Fang, Y. ^{[1
]}

Wang, Y. Y. ^{[1
]}

Zhang, Y. Q. ^{[1
]}

机构：

[1] Zhejiang Univ, Coll Civil Engn & Architecture, Hangzhou 310058, Peoples R China

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2022年 / 63卷 / 04期

关键词：

viscoelastic nanoplate; modified couple stress theory; stress relaxation; viscoelastic Pasternak medium; STRAIN GRADIENT THEORY; FREE-VIBRATION; NONLINEAR VIBRATION; SYSTEMS; BEHAVIOR;

D O I：

10.1134/S0021894422040198

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Based on the modified couple stress theory and stress relaxation phenomenon, the governing equation of motion for a double viscoelastic nanoplate system is established, and the bending analysis of the system is performed. Using Navier's method, an analytical solution of the transverse relative deflection for two nanoplates is obtained. The effects of geometrical and physical factors on the bending behavior of the system are discussed. It is concluded that the transverse relative deflection of two nanoplates depends upon the relaxation time, ratio of the delayed to initial extensional elastic moduli, and damping parameters.

引用

页码：711 / 720

页数：10

共 50 条

[1] BENDING ANALYSIS OF DOUBLE VISCOELASTIC NANOPLATES BASED ON THE MODIFIED COUPLE STRESS THEORY AND RELAXATION THEORY
S. Y. Wang
Y. Fang
Y. Y. Wang
Y. Q. Zhang
[J]. Journal of Applied Mechanics and Technical Physics, 2022, 63 : 711 - 720
[2] Nonlinear free vibration of viscoelastic nanoplates based on modified couple stress theory
Ajri, Masoud
Fakhrabadi, Mir Masoud Seyyed
[J]. JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 2018, 49 (01): : 44 - 53
[3] Bending Deformation of Multilayered One-Dimensional Quasicrystal Nanoplates Based on the Modified Couple Stress Theory
Xiaofei Li
Junhong Guo
Tuoya Sun
[J]. Acta Mechanica Solida Sinica, 2019, 32 : 785 - 802
[4] Bending Deformation of Multilayered One-Dimensional Quasicrystal Nanoplates Based on the Modified Couple Stress Theory
Li, Xiaofei
Guo, Junhong
Sun, Tuoya
[J]. ACTA MECHANICA SOLIDA SINICA, 2019, 32 (06) : 785 - 802
[5] Electrostatic nonlinear bending, buckling and free vibrations of viscoelastic microbeams based on the modified couple stress theory
Attia, Mohamed A.
Emam, Samir A.
[J]. ACTA MECHANICA, 2018, 229 (08) : 3235 - 3255
[6] Electrostatic nonlinear bending, buckling and free vibrations of viscoelastic microbeams based on the modified couple stress theory
Mohamed A. Attia
Samir A. Emam
[J]. Acta Mechanica, 2018, 229 : 3235 - 3255
[7] Nonlinear modeling and analysis of electrically actuated viscoelastic microbeams based on the modified couple stress theory
Attia, M. A.
Mohamed, S. A.
[J]. APPLIED MATHEMATICAL MODELLING, 2017, 41 : 195 - 222
[8] STATIC AND DYNAMIC ANALYSIS OF ELECTRICALLY ACTUATED VISCOELASTIC MICROBEAMS BASED ON A MODIFIED COUPLE STRESS THEORY
Li Lei
Zhang Qichang
Wang Wei
[J]. PROCEEDINGS OF THE 23RD INTERNATIONAL CONGRESS ON SOUND AND VIBRATION: FROM ANCIENT TO MODERN ACOUSTICS, 2016,
[9] Pull-in analysis of electrically actuated viscoelastic microbeams based on a modified couple stress theory
Jin Zhang
Yiming Fu
[J]. Meccanica, 2012, 47 : 1649 - 1658
[10] Pull-in analysis of electrically actuated viscoelastic microbeams based on a modified couple stress theory
Zhang, Jin
Fu, Yiming
[J]. MECCANICA, 2012, 47 (07) : 1649 - 1658

← 1 2 3 4 5 →