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Application of the quadrilateral area coordinate method:a new element for laminated composite plate bending problems

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Acta Mechanica Sinica 2007年第5期23卷 561-575页

作者： Song Cen Xiangrong Fu Yuqiu Long Hongguang Li Zhenhan Yao Department of Engineering Mechanics School of Aerospace Tsinghua University Beijing 100084 China College of Water Conservancy and Civil Engineering China Agriculture University Beijing 100083 China Department of Civil Engineering Tsinghua University Beijing 100084 China Failure Mechanics Laboratory Tsinghua University Beijing 100084 China

Recently, some new quadrilateral finite elements were successfully developed by the Quadrilateral Area Coordinate （QAC） method. Compared with those traditional models using isoparametric coordinates, these new models are less sensitive to mesh distortion. In this paper, a new displacement-based, 4-node 20-DOF （5-DOF per node） quadrilateral bending element based on the first-order shear deformation theory for analysis of arbitrary laminated composite plates is presented. Its bending part is based on the element AC-MQ4, a recent-developed high-performance Mindlin-Reissner plate element formulated by QAC method and the generalized conforming condition method; and its in-plane displacement fields are interpolated by bilinear shape functions in isoparametric coordinates. Furthermore, the hybrid post-rocessing procedure, which was firstly proposed by the authors, is employed again to improve the stress solutions, especially for the transverse shear stresses. The resulting element, denoted as AC-MQ4-LC, exhibits excellent performance in all linear static and dynamic numerical examples. It demonstrates again that the QAC method, the generalized conforming condition method, and the hybrid post-processing procedure are efficient tools for developing simple, effective and reliable finite element models.

关键词： Quadrilateral Area Coordinate (QAC) Finite element laminated composite plate First-order shear deformation theory (FSDT) Hybrid post-processing procedure

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Stochastic analysis of laminated composite plate considering stochastic homogenization problem

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Frontiers of Structural and Civil Engineering 2015年第2期9卷 141-153页

作者： S. SAKATA K. OKUDA K. IKEDA Department of Mechanical Engineering Kinki University 3-4-I Kowakae Higashiosaka Osaka 577-8502 Japan

This paper discusses a multiscale stochastic analysis of a laminated composite plate consisting of unidirectional fiber reinforced composite laminae. In particular, influence of a microscopic random variation of the elastic properties of component materials on mechanical properties of the laminated plate is investigated. laminated composites are widely used in civil engineering, and therefore multiscale stochastic analysis of laminated composites should be performed for reliability evaluation of a composite civil structure. This study deals with the stochastic response of a laminated composite plate against the microscopic random variation in addition to a random variation of fiber orientation in each lamina, and stochastic properties of the mechanical responses of the laminated plate is investigated. Halpin-Tsai formula and the homogenization theory-based finite element analysis are employed for estimation of effective elastic properties of lamina, and the classical laminate theory is employed for analysis of a laminated plate. The Monte-Carlo simulation and the first-order second moment method with sensitivity analysis are employed for the stochastic analysis. From the numerical results, importance of the multiscale stochastic analysis for reliability evaluation of a laminated composite structure and applicability of the sensitivity-based approach are discussed.

关键词： stochastic homogenization multiscale stochastic analysis microscopic random variation laminated composite plate

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Free Vibration Analysis of Symmetrically laminated composite plates on Elastic Foundation and Coupled with Stationary Fluid

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China Ocean Engineering 2018年第3期32卷 266-277页

作者： Arash SHAHBAZTABAR Ahmad RAHBAR-RANJI Department of Ocean Engineering AmirK abir University of Technology

Free vibration analysis of symmetrically laminated composite plates resting on Pasternak elastic support and coupled with an ideal, incompressible and inviscid fluid is the objective of the present work. The fluid domain is considered to be infinite in the length direction but bounded in the depth and width directions. In order to derive the eigenvalue equation, Rayleigh-Ritz method is applied for the fluid-plate-foundation system. The efficiency of the method is proved by comparison studies with those reported in the open literature. At the end, parametric studies are carried out to examine the impact of different parameters on the natural frequencies.

关键词： free vibration analysis laminated composite plate fluid-plate-foundation interaction Rayleigh-Ritz method Pasternak foundation

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Random Vibration Control of laminated composite plates with Piezoelectric Fiber Reinforced composites

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Acta Mechanica Solida Sinica 2016年第3期29卷 316-327页

作者： Jinqiang Li Zhuorui Ma Zhihua Wang Yoshihiro Narita College of Mechanics Shanxi Key Laboratory of Material Strength & Structural ImpactTaiyuan University of Technology Faculty of Engineering Hokkaido University

This paper presents an analysis of the active control of random vibration for lami- nated composite plates using piezoelectric fiber reinforced composites （PFRC）. With Hamilton＇s principle and the Rayleigh-Ritz method, the equation of motion for the resulting electromechani- cal coupling system is derived. A velocity feedback control rule is employed to obtain an effective active damping in the suppression of random vibration. The power spectral density and mean- square displacements of the random vibration for laminated plates under different control gains are simulated and the validity of the present control strategy is confirmed. The effect of piezoelec- tric fiber orientation in the PFRC layer on the random vibration suppression is also investigated. The analytical methodology can be expanded to other kinds of random vibration.

关键词： random vibration active control laminated composite plate velocity feedback,piezoelectric material

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THE MIXED STATE HAMILTONIAN DYNAMIC ELEMENT AND A SEMI-ANALYTICAL SOLUTION FOR THE ANALYSIS OF THICK laminated composite plateS

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Acta Mechanica Solida Sinica 1995年第2期8卷 154-162页

作者： Zou Guiping(Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China)Tang Limin(Research Institute of Engineering Mechanics,Dalian Uuiversity of Techuology,Dalian 116024,China) Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Research Institute of Engineering Mechanics Dalian University of Technology Dalian 116024 China

Through introducing the Laplace transformation in the time direction, the mixed state Hamilton canonical equation and a semi-analytical solution are presented for analyzing the dynamic response of laminated composite plates. This method accounts for the separation of variables, the finite element discretization can be employed in the plane of laminar, and the exact solution in the thickness direction is derived by the state space control method. To apply the transfer matrix method, the relational expression at the top and bottom surface is established. So the general solution in transformation space is deduced by the spot method. By the application of inversion of Laplace transformation, the transient displacements and stresses can be derived.

关键词： HAMILTON CANONICAL EQUATION laminated composite plate

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Vibration suppression of composite panel with variable angle tow design and inerter-based nonlinear energy sink

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2023年第8期24卷 653-672页

作者： Chen ZHOU Jian YANG Yingdan ZHU Chendi ZHU Zhejiang Provincial Key Laboratory of Robotics and Intelligent Manufacturing Equipment Technology Ningbo Institute of Material Technology&EngineeringChinese Academy of SciencesNingbo 315201China Department of Mechanical Materials and Manufacturing EngineeringUniversity of Nottingham Ningbo ChinaNingbo 315100China International Academy of Marine Economy and Technology(IAMET) University of Nottingham Ningbo ChinaNingbo 315100China Center of Materials Science and Optoelectronics Engineering University of Chinese Academy of SciencesBeijing 100049China Ningbo Institute of Dalian University of Technology Ningbo 315016China

This study investigates the vibration transmission and suppression of a laminated composite panel with variable angle tow(VAT)designs and an attached inerter-based passive nonlinear energy *** on analytical and numerical methodologies,the substructure technique is used to obtain a steady-state dynamic response and the results are verified by experimental and analytical *** is demonstrated that fiber orientation has a significant impact on the natural *** dynamic responses and energy transmission path characteristics are determined and evaluated by forced vibration *** main vibration transmission paths inside the structure are displayed using power flow density *** is demonstrated that the dynamic responses of the plate can be changed considerably by using various fiber placement schemes and passive suppression *** addition,it is indicated that the vibration transmission paths are significantly influenced by the tailored fiber angles for improved dynamic *** investigation enhances the understanding of enhanced vibration suppression designs of variable-stiffness composite plates with attached passive devices.

关键词： laminated composite plate Variable stiffness Substructure method Passive device Power flow analysis

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Power transmission through double-walled laminated composite panels considering porous layer-air gap insulation

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Applied Mathematics and Mechanics(English Edition) 2014年第11期35卷 1447-1466页

作者： M.H.SHOJAEIFARD R.TALEBITOOTI B.RANJBAR R.AHMADI School of Mechanical Engineering Iran University of Science & Technology School of Automotive Engineering Iran University of Science & Technology

The acoustic behavior of double-walled laminated composite panels consisting of two porous and air gap middle layers is studied within the classical laminated plate theory （CLPT）. Thus, viscous and inertia coupling in a dynamic equation, as well as stress transfer, thermal and elastic coupling of porous material ave based on the Biot theory. In addition, the wave equations are extracted according to the vibration equation of composite layers. The transmission loss （TL） of the structure is then calculated by solving these equations simultaneously. Statistical energy analysis （SEA） is developed to divide the structure into specific subsystems, and power transmission is extracted with balancing power flow equations of the subsystems. Comparison between the present work and the results reported elsewhere shows excellent agreement. The results also indicate that, although favorable enhancement is seen in noise control particularly at high frequencies, the corresponding parameters associated with fluid phase and solid phase of the porous layer are important on TL according to the boundary condition interfaces. Finally, the influence of composite material and stacking sequence on power transmission is discussed.

关键词： laminated composite plate double panel sound transmission loss porousmaterial statistical energy analysis (SEA)

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SEISMIC RESPONSE OF laminated composite plateS

SEISMIC RESPONSE OF LAMINATED COMPOSITE PLATES

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The International Symposium on Innovation & Sustainability of Structures in Civil Engineering

作者： U. Topal .Uzman Karadeniz Technical University Department of Civil Engineering 61080TrabzonTurkey Karadeniz Technical University Department of Civil Engineering 61080TrabzonTurkey

＜正＞This paper deals with seismic response of a simply supported laminated composite plate subject to vertical motion of all supports. The vertical motion is defined in terms of a seismic displacement response spectrum. Single-point response spectrum analysis is used for the spectrum analysis. Finally, the non-dimensional fundamental frequency is obtained. The numerical studies are conducted to determine the effects of width-to-thickness ratio, degree of orthotropy, fiber orientations and aspect ratio on the results. The problem is modelled using finite element package program ANSYS. The results are given in tabular and graphical forms and obtained results are compared.

关键词： laminated composite plate response spectrum single-point response spectrum seismic analysis finite element analysis fundamental frequency.

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湿热环境下嵌入黏弹性基础中的黏弹性磁致伸缩板的振动

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Acta Mechanica Sinica 2023年第5期39卷 144-159页

作者： Ashraf M.Zenkour Hela D.El-Shahrany Department of Mathematics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia Department of Mathematics Faculty of ScienceKafrelsheikh UniversityKafrelsheikh33516Egypt Department of Mathematics Faculty of ScienceUniversity of BishaBisha67714Saudi Arabia

本文研究了湿热荷载作用下自适应夹芯板在黏弹性介质中的振动.简单支撑的夹芯板包含三种类型的层:纤维增强层、两个磁致伸缩致动器和黏弹性面.结构的顶部和底部建模为Kelvin-Voigt黏弹性模型.基于板理论,主要振动模式应用汉密尔顿原理.... 详细信息

本文研究了湿热荷载作用下自适应夹芯板在黏弹性介质中的振动.简单支撑的夹芯板包含三种类型的层:纤维增强层、两个磁致伸缩致动器和黏弹性面.结构的顶部和底部建模为Kelvin-Voigt黏弹性模型.基于板理论,主要振动模式应用汉密尔顿原理.数值算例研究了各种参数对湿热振动特性的影响,如厚度比、长径比、黏弹性与磁致伸缩层厚度比、模态、黏弹性基体刚度和阻尼系数、层压方案、反馈系数大小、磁致伸缩层位置、黏弹性结构阻尼、温升和水分浓度的程度.研究结果表明温度和湿度浓度是影响振动的主要因素.对于在湿热荷载作用下板的设计,上述研究结果有助于智能结构的开发与应用并控制其在这种环境条件下的振动.

关键词： Vibration suppression laminated composite plate Magnetostrictive and viscoelastic materials Hygrothermal loads Visco-Pasternak’s foundations

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Postbuckling of Marine Stifened composite plates with Initial Geometric Imperfections Using Progressive Failure Analysis

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Journal of Marine Science and Application 2021年第4期20卷 694-705页

作者： Fattaneh Morshedsolouk Madjid Karimirad Faculty of Mechanical Engineering Babol NoshirvaniUniversity of Technology47148–73113 BabolIran School of Natural and Built Environment Queen’s UniversityBelfast(QUB)Belfast BT95AGUK

This work explores the postbuckling behavior of a marine stifened composite plate in the presence of initial *** imperfection shapes are derived from buckling mode shapes and their ***,these imperfection shapes are applied to the model,and nonlinear large defection fnite element and progressive failure analyses are performed in ANSYS 18.2 *** Hashin failure criterion is employed to model the progressive failure in the stifened composite *** efect of the initial geometric imperfection on the stifened composite plate is investigated by considering various imperfection patterns and *** show that when the magnitude of the imperfection is 20 mm,the ultimate strength of the stifened composite plate decreases by 31%.Moreover,global imperfection shapes are found to be fundamental in determining the ultimate strength of stifened composite plates and their postbuckling.

关键词： Initial geometric imperfection laminated composite plate Postbuckling behavior Nonlinear fnite element method Progressive damage method Hashin damage criteria

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