Natural Frequencies Analysis of Functionally Graded Porous Plates Supported by Kerr-Type Foundations Via an Innovative Trigonometric Shear Deformation Theory

被引:6
作者
Cao, Huu-Loi [1 ]
Vu, Tan-Van [2 ]
机构
[1] Tra Vinh Univ, Dept Civil Engn, Tra Vinh, Vietnam
[2] Univ Architecture Ho Chi Minh City, Dept Civil Engn, Ho Chi Minh City, Vietnam
关键词
Natural frequencies; porous; functionally graded materials; sandwich plates; Kerr foundation; Navier method; FREE-VIBRATION; ELASTIC-FOUNDATION; BEHAVIOR;
D O I
10.1142/S0219455425502360
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This research aims to explore the free vibration behavior of functionally graded porous (FGP) plates resting on a Kerr-type elastic foundation. This investigation employs an innovative trigonometric shear deformation (ITSD) theory with five variables. The study encompasses various plate configurations, including homogeneous FGP plates, hard-core FGP sandwich plates, and soft-core FGP sandwich plates with both regular and irregular pore structures. The ITSD theory naturally addresses shear stress concerns at the outer surfaces, while also considering the thickness stretching effect, all without the need for correction factors. To formulate the governing equations for the free vibration of such plates on an elastic foundation, Hamilton's principle is employed. The Navier double trigonometric series approach is then utilized to solve this problem. To validate the plate theory and methodologies used in this work, a comparative analysis is conducted with existing studies. Additionally, comprehensive parametric simulations are employed to examine the impact of different factors, such as geometric properties, material characteristics, sandwich schemes, and parameters of the Kerr-type foundation, on the dimensionless natural frequencies of simply supported rectangular FGP plates.
引用
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页数:34
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共 37 条
[1]   Damped Vibration and Optimization of the Geometrical Parameters of FG Stiffened Cylindrical Shells Resting on Elastic Foundation Using GA [J].
Aghamaleki, Saeid Bakhtiyar ;
Fakoor, Mahdi ;
Hashemian, Amir H. .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2024, 24 (23)
[2]   Mechanical behavior of functionally graded sandwich plates on elastic foundation [J].
Akavci, S. S. .
COMPOSITES PART B-ENGINEERING, 2016, 96 :136-152
[3]   Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment [J].
Akgoz, Bekir ;
Civalek, Omer .
COMPOSITES PART B-ENGINEERING, 2018, 150 :68-77
[4]  
Cao Huu-Loi, 2024, Proceedings of the 7th International Conference on Geotechnics, Civil Engineering and Structures, CIGOS 2024 : Advances in Planning, Architecture and Construction for Sustainable Development. Lecture Notes in Civil Engineering (482), P425, DOI 10.1007/978-981-97-1972-3_46
[5]   Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method [J].
Civalek, Omer ;
Avcar, Mehmet .
ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 1) :489-521
[6]   Buckling and free vibrations of CNT-reinforced cross-ply laminated composite plates [J].
Civalek, Omer ;
Dastjerdi, Shahriar ;
Akgoz, Bekir .
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2022, 50 (06) :1914-1931
[7]   Temperature dependent vibration analysis of functionally graded sandwich plates resting on Winkler/Pasternak/Kerr foundation [J].
Daikh, Ahmed Amine .
MATERIALS RESEARCH EXPRESS, 2019, 6 (06)
[8]   An Improved First-Order Shear Deformation Theory for Wave Propagation Analysis in FG-CNTRC Beams Resting on a Viscoelastic Substrate [J].
Gawah, Qais ;
Bourada, Fouad ;
Al-Osta, Mohammed A. ;
Tahir, Saeed I. ;
Tounsi, Abdelouahed ;
Yaylaci, Murat .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2025, 25 (01)
[9]   Stability Analyses of Cracked Functionally Graded Graphene-Platelets Reinforced Composite Beam Covered with Piezoelectric Layers [J].
Guo, Li-Jia ;
Mao, Jia-Jia ;
Zhang, Wei ;
Wu, Meiqi .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2023, 23 (14)
[10]   Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity [J].
Hadj, Bekki ;
Rabia, Benferhat ;
Daouadji, Tahar Hassaine .
COUPLED SYSTEMS MECHANICS, 2021, 10 (01) :61-77