New symplectic analytic solutions for buckling of CNT reinforced composite rectangular plates

Hu, Zhe; Zhou, Chao; Ni, Zhuofan; Lin, Xiangqi; Li, Rui

doi:10.1016/j.compstruct.2022.116361

Cited by 19 publications

(2 citation statements)

References 55 publications

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“…Meng et al [42] estimated the state of nonlinear generalized systems subject to algebraic constraints by generalized inverse technique. Li et al [43][44][45][46][47][48] proposed a new analytic approach, which is the combination of a symplectic geometry approach and the superposition approach, to handle non-Lévy-type thin/thick plate problems. In proposing a novel analytic approach, it should be pointed out that although the above approaches can offer precise analytic data for flexural problems of non-Lévy-type plates, the vast majority of these methods are only suitable for some specific non-Lévy-type boundaries.…”

Section: Introductionmentioning

confidence: 99%

New Accurate Flexural Analysis for Different Types of Plates in a Rectangular Sewage Tank by Utilizing a Unified Analytic Solution Procedure

Sun,

Zhang,

Huang

et al. 2024

Buildings

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In the present paper, a modified Fourier series approach is developed for new precise flexural analysis of three different types of concrete plates in a rectangular sewage tank. The bending problems of the bottom plate, side-plate, and the fluid-guiding plate are not easily solved via using the traditional analytic approaches. Based on the Fourier series theory, the present approach provides a unified semi-inverse solving procedure for the above plates by means of choosing three different kinds of Fourier series as the trial functions. Although all the trial functions are quite similar to the classical Navier-form solution, new, precise analytic flexural solutions for plates without Navier-type edge conditions (all edges simply-supported) are achieved, which is mainly attributed to employing the Stoke’s transform technique. For each case, the plate-bending problems are finally altered to deal with linear algebra equations. Furthermore, owing to the orthogonality and completeness of the Fourier series, the obtained solutions perfectly satisfy both the edge conditions and the governing partial differential equation of plates, which paves an easily implemented and rational way for engineers and researchers to provide new, exact designs of plate structures. The main contribution of this study lies in the provision of a unified solution procedure for addressing complex plate-bending problems across diverse boundary conditions. By employing a range of Fourier series types, this approach offers a comprehensive solution framework that accommodates the complexities inherent in plate analysis. The correctness of the present analytic solutions is verified against precise finite element method (FEM) results and ones available in the literature. Finally, the influences of foundation, edge conditions, and aspect ratio on flexural behaviors of plates are discussed in detail.

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Section: Introductionmentioning

confidence: 99%

New Accurate Flexural Analysis for Different Types of Plates in a Rectangular Sewage Tank by Utilizing a Unified Analytic Solution Procedure

Sun,

Zhang,

Huang

et al. 2024

Buildings

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show abstract

“…These unique properties have been widely used in the aerospace, civil, mechanical and biomedical engineering fields [25][26][27]. Hu et al [28] presented new analytic solutions for the buckling of non-Lévytype, carbon nanotube (CNT)-reinforced, composite rectangular plates and the buckling problems of cantilever, free, and clamped plates. Lei et al [29,30] used the element-free kp-Ritz method to conduct a buckling analysis of functionally graded composite laminated plates under various in-plane mechanical loads.…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis on Resin Base Laminated Plate Reinforced with Uniform and Functional Gradient Distribution of Carbon Fiber in Thermal Environment

et al. 2023

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The present paper aims to investigate the buckling load of functionally graded carbon-fiber-reinforced polymer (FG-CFRP) composite laminated plates under in-plane loads in a thermal environment. The effective material properties of the CFRP composite are calculated by the Mori–Tanaka homogenization method. The theoretical formulations are based on classical laminate plate theory (CLPT) and the von Kármán equations for large deflections. The governing equations are derived based on the principle of virtual work and then solved through the Navier solution. Results are obtained for the critical buckling load and temperature effect of a simply supported plate subjected to in-plane loading. A detailed numerical study is conducted to provide important insights into the effects of the functionally graded carbon fiber (CF) distribution pattern and volume fraction, total number of layers, temperature, geometrical dimension and lamination angle on the buckling load of functionally carbon-fiber-reinforced composite plates. Finally, the validation is compared with the Reddy and finite element analyses, which show consistency with each other.

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Continuum Modelling of Carbon Nanotube Composites: A Review

Omar,

Rasid,

Hassan

2023

Proceedings in Technology Transfer

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New symplectic analytic solutions for buckling of CNT reinforced composite rectangular plates

Cited by 19 publications

References 55 publications

New Accurate Flexural Analysis for Different Types of Plates in a Rectangular Sewage Tank by Utilizing a Unified Analytic Solution Procedure

New Accurate Flexural Analysis for Different Types of Plates in a Rectangular Sewage Tank by Utilizing a Unified Analytic Solution Procedure

Buckling Analysis on Resin Base Laminated Plate Reinforced with Uniform and Functional Gradient Distribution of Carbon Fiber in Thermal Environment

Continuum Modelling of Carbon Nanotube Composites: A Review

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