An analytical study on free vibration of magneto electro micro sandwich beam with FG porous core on Vlasov foundation

被引:4
作者
Alambeigi, Kazem [1 ]
Mohammadimehr, Mehdi [1 ]
Bamdad, Mostafa [1 ]
机构
[1] Univ Kashan, Fac Mech Engn, Dept Solid Mech, Kashan, Iran
关键词
FG porous core; micro sandwich beam; nanocomposite; piezomagnetic/piezoelectric layers; porosity; vibration; Vlasov foundation; DEPENDENT MATERIAL PROPERTIES; CURVED SHALLOW SHELLS; NONLINEAR VIBRATION; FORCED VIBRATION; TIMOSHENKO BEAM; ELASTIC-FOUNDATION; BUCKLING ANALYSIS; REDDY BEAM; STABILITY; POROSITY;
D O I
10.12989/anr.2023.15.5.423
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The aim of this paper is to investigate the free vibration behavior of the micro sandwich beam composing of five layers such as functionally graded (FG) porous core, nanocomposite reinforced by carbon nanotubes (CNTs) and piezomagnetic/ piezoelectric layers subjected to magneto electrical potential resting on silica aerogel foundation. The effect of foundation has been taken into account using Vlasov model in addition to rigid base assumption. For this purpose, an iterative technique is applied. The material properties of the FG porous core and FG nanocomposite layers are considered to vary throughout the thickness direction of the beams. Based on the Timoshenko beam theory and Hamilton's principle, the governing equations of motion for the micro sandwich beam are obtained. The Navier's type solution is utilized to obtain analytical solutions to simply supported micro sandwich beam. Results are verified with corresponding literatures. In the following, a study is carried out to find the effects of the porosity coefficient, porous distribution, volume fraction of CNT, the thickness of silica aerogel foundation, temperature and moisture, geometric parameters, electric and magnetic potentials on the vibration of the micro sandwich beam. The results are helpful for the design and applications of micro magneto electro mechanical systems.
引用
收藏
页码:423 / 439
页数:17
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