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Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory 被引量:2
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作者 Pham Van Vinh Le Quang Huy 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第3期490-508,共19页
This study focusses on establishing the finite element model based on a new hyperbolic sheareformation theory to investigate the static bending,free vibration,and buckling of the functionally graded sandwich plates wi... This study focusses on establishing the finite element model based on a new hyperbolic sheareformation theory to investigate the static bending,free vibration,and buckling of the functionally graded sandwich plates with porosity.The novel sandwich plate consists of one homogenous ceramic core and two different functionally graded face sheets which can be widely applied in many fields of engineering and defence technology.The discrete governing equations of motion are carried out via Hamilton’s principle and finite element method.The computation program is coded in MATLAB software and used to study the mechanical behavior of the functionally graded sandwich plate with porosity.The present finite element algorithm can be employed to study the plates with arbitrary shape and boundary conditions.The obtained results are compared with available results in the literature to confirm the reliability of the present algorithm.Also,a comprehensive investigation of the effects of several parameters on the bending,free vibration,and buckling response of functionally graded sandwich plates is presented.The numerical results shows that the distribution of porosity plays significant role on the mechanical behavior of the functionally graded sandwich plates。 展开更多
关键词 Functionally graded sandwich plates Porous plates Hyperbolic shear deformation theory Bending analysis Free vibration analysis Buckling analysis
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KRMN-TYPE EQUATIONS FOR A HIGHER-ORDER SHEARDEFORMATION PLATE THEORY AND ITS USE IN THE THERMAL POSTBUCKLING ANALYSIS
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作者 沈惠申 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第12期0-0,0-0+0-0+0-0+0-0+0-0+0-0+0-0,共16页
arman-type nonlinear large deflection equations are derived occnrding to theReddy's higher-order shear deformation plate theory and used in the thermal postbuckling analysis The effects of initial geometric imperf... arman-type nonlinear large deflection equations are derived occnrding to theReddy's higher-order shear deformation plate theory and used in the thermal postbuckling analysis The effects of initial geometric imperfections of the plate areincluded in the present study which also includes th thermal effects.Simply supported,symmetric cross-ply laminated plates subjected to uniform or nomuniform parabolictemperature distribution are considered. The analysis uses a mixed GalerkinGolerkinperlurbation technique to determine thermal buckling louds and postbucklingequilibrium paths.The effects played by transverse shear deformation plate aspeclraio, total number of plies thermal load ratio and initial geometric imperfections arealso studied. 展开更多
关键词 composite laminated plate higher-order shear deformation plate theory thermal postbuckling Galerkin-perturbation technique
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Bending and stress analysis of polymeric composite plates reinforced with functionally graded graphene platelets based on sinusoidal shear-deformation plate theory
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作者 Mohammad Arefi Ali Tabatabaeian Masoud Mohammadi 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第1期64-74,共11页
The bending and stress analysis of a functionally graded polymer composite plate reinforced with graphene platelets are studied in this paper.The governing equations are derived by using principle of virtual work for ... The bending and stress analysis of a functionally graded polymer composite plate reinforced with graphene platelets are studied in this paper.The governing equations are derived by using principle of virtual work for a plate which is rested on Pasternak’s foundation.Sinusoidal shear deformation theory is used to describe displacement field.Four different distribution patterns are employed in our analysis.The analytical solution is presented for a functionally graded plate to investigate the influence of important parameters.The numerical results are presented to show the deflection and stress results of the problem for four employed patterns in terms of geometric parameters such as number of layers,weight fraction and two parameters of Pasternak’s foundation. 展开更多
关键词 Reinforced composite plate Graphene platelet Sinusoidal shear deformation theory Pasternak’s foundation Stress and deformation analysis
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Exact solution for thermal vibration of multi-directional functionally graded porous plates submerged in fluid medium
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作者 Quoc-Hoa Pham Van Ke Tran Phu-Cuong Nguyen 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2024年第5期77-99,共23页
An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties ... An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties of MFG porous plates change according to the length,width,and thickness directions for various materials and the porosity distribution which can be widely applied in many fields of engineering and defence technology.Especially,new porous rules that depend on spatial coordinates and grading indexes are proposed in the present work.Applying Hamilton's principle and the refined higher-order shear deformation plate theory,the governing equation of motion of an MFG porous rectangular plate in a fluid medium(the fluid-plate system)is obtained.The fluid velocity potential is derived from the boundary conditions of the fluid-plate system and is used to compute the extra mass.The GalerkinVlasov solution is used to solve and give natural frequencies of MFG porous plates with various boundary conditions in a fluid medium.The validity and reliability of the suggested method are confirmed by comparing numerical results of the present work with those from available works in the literature.The effects of different parameters on the thermal vibration response of MFG porous rectangular plates are studied in detail.These findings demonstrate that the behavior of the structure within a liquid medium differs significantly from that within a vacuum medium.Thereby,they offer appropriate operational approaches for the structure when employed in various mediums. 展开更多
关键词 plate-fluid contact Galerkin Vlasov's method Multi-directional functionally graded plate Novel porosity Thermal vibration Refined higher-order shear deformation theory
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A two variable refined plate theory for the bending analysis of functionally graded plates 被引量:2
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作者 Ismail Mechab Hassen Ait Atmane +2 位作者 Abdlouahed Tounsi Hichem Abdesselem Belhadj EI Abbas Adda Bedia 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2010年第6期941-949,共9页
Bending analysis of functionally graded plates using the two variable refined plate theory is presented in this paper.The number of unknown functions involved is reduced to merely four,as against five in other shear d... Bending analysis of functionally graded plates using the two variable refined plate theory is presented in this paper.The number of unknown functions involved is reduced to merely four,as against five in other shear deformation theories. The variationally consistent theory presented here has, in many respects,strong similarity to the classical plate theory. It does not require shear correction factors,and gives rise to such transverse shear stress variation that the transverse shear stresses vary parabolically across the thickness and satisfy shear stress free surface conditions.Material properties of the plate are assumed to be graded in the thickness direction with their distributions following a simple power-law in terms of the volume fractions of the constituents.Governing equations are derived from the principle of virtual displacements, and a closed-form solution is found for a simply supported rectangular plate subjected to sinusoidal loading by using the Navier method.Numerical results obtained by the present theory are compared with available solutions,from which it can be concluded that the proposed theory is accurate and simple in analyzing the static bending behavior of functionally graded plates. 展开更多
关键词 FG plates shear deformation theory Refined plate theory Higher-order theory Navier solution
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ANALYTICAL RELATIONS BETWEEN EIGENVALUES OF CIRCULAR PLATE BASED ON VARIOUS PLATE THEORIES
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作者 马连生 王铁军 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第3期279-286,共8页
Based on the mathematical similarity of the axisymmetric eigenvalue problems of a circular plate between the classical plate theory(CPT), the first-order shear deformation plate theory(FPT) and the Reddy's third-... Based on the mathematical similarity of the axisymmetric eigenvalue problems of a circular plate between the classical plate theory(CPT), the first-order shear deformation plate theory(FPT) and the Reddy's third-order shear deformation plate theory(RPT), analytical relations between the eigenvalues of circular plate based on various plate theories are investigated. In the present paper, the eigenvalue problem is transformed to solve an algebra equation. Analytical relationships that are expressed explicitly between various theories are presented. Therefore, from these relationships one can easily obtain the exact RPT and FPT solutions of critical buckling load and natural frequency for a circular plate with CPT solutions. The relationships are useful for engineering application, and can be used to check the validity, convergence and accuracy of numerical results for the eigenvalue problem of plates. 展开更多
关键词 classical plate theory shear deformation plate theory eigeuvalue BUCKLING natural frequency
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A New Rectangular Finite Element Formulation Based on Higher Order Displacement Theory for Thick and Thin Composite and Sandwich Plates
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作者 Sanjib Goswami Wilfried Becker 《World Journal of Mechanics》 2013年第3期194-201,共8页
A new displacement based higher order element has been formulated that is ideally suitable for shear deformable composite and sandwich plates. Suitable functions for displacements and rotations for each node have been... A new displacement based higher order element has been formulated that is ideally suitable for shear deformable composite and sandwich plates. Suitable functions for displacements and rotations for each node have been selected so that the element shows rapid convergence, an excellent response against transverse shear loading and requires no shear correction factors. It is completely lock-free and behaves extremely well for thin to thick plates. To make the element rapidly convergent and to capture warping effects for composites, higher order displacement terms in the displacement kinematics have been considered for each node. The element has eleven degrees of freedom per node. Shear deformation has also been considered in the formulation by taking into account shear strains ( rxz and ryz) as nodal unknowns. The element is very simple to formulate and could be coded up in research software. A small Fortran code has been developed to implement the element and various examples of isotropic and composite plates have been analyzed to show the effectiveness of the element. 展开更多
关键词 Finite Element DISPLACEMENT Approach plate Bending COMPOSITE shear deformation Higher Order theory LOCK-FREE
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Vibration characteristics of sandwich plates with an auxetic honeycomb core and laminated three-phase skin layers under blast load
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作者 Quoc-Hoa Pham Van Ke Tran Trung Thanh Tran 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第6期148-163,共16页
In this article,vibration characteristics of sandwich plates with an auxetic honeycomb core and laminated three-phase skin layers subjected to blast load are studied.Higher-order ES-MITC3 element based on higher-order... In this article,vibration characteristics of sandwich plates with an auxetic honeycomb core and laminated three-phase skin layers subjected to blast load are studied.Higher-order ES-MITC3 element based on higher-order shear deformation theory(HSDT)to achieve the governing equations.The sandwich plates with the ultra-light feature of the auxetic honeycomb core layer(negative Poisson’s ratio)and reinforced by two laminated three-phase skin layers.The obtained results in our work are compared with other previously published to confirm accuracy and reliability.In addition,the effects of parameters such as geometrical and material parameters on the vibration characteristics of sandwich plates with an auxetic honeycomb core and laminated three-phase skin layers are fully investigated. 展开更多
关键词 Laminated three-phase Sandwich plate Auxetic honeycomb ES-MITC3 element High-order shear deformation theory
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压电集成石墨烯增强功能梯度多孔板的等几何建模与分析
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作者 刘庆运 刘康仁 +1 位作者 张红一 刘涛 《振动与冲击》 EI CSCD 北大核心 2024年第2期280-290,共11页
基于等几何分析方法和一种仅含有4自由度的简化一阶剪切变形理论(simple first-order shear deformation theory,S-FSDT)建立了压电集成石墨烯增强功能梯度多孔(piezoelectric integrated graphene platelets reinforced functionally g... 基于等几何分析方法和一种仅含有4自由度的简化一阶剪切变形理论(simple first-order shear deformation theory,S-FSDT)建立了压电集成石墨烯增强功能梯度多孔(piezoelectric integrated graphene platelets reinforced functionally graded porous,P-GPLs-FGP)板的数值分析模型。利用Halpin-Tsai微观力学模型、闭胞体高斯随机场理论和混合定律得到了石墨烯增强功能梯度多孔板的有效材料属性;基于等几何分析方法、S-FSDT和哈密顿原理推导了P-GPLs-FGP板的运动控制方程,并通过与已有算例对比验证了模型的准确性和有效性;利用所建模型分析了孔隙分布形式、孔隙系数、石墨烯分布形式、石墨烯质量分数、边界条件和宽厚比对P-GPLs-FGP板固有频率和机-电载荷作用下静态弯曲响应的影响。研究结果表明:板的刚度与孔隙系数成反比,而在基体材料中添加少量的石墨烯可以有效地增强结构的刚度;与其他组合形式相比,板的刚度在孔隙PD-S分布和石墨烯GPL-S分布时最大。 展开更多
关键词 等几何分析 简化一阶剪切变形理论(S-FSDT) 压电 石墨烯 功能梯度多孔板
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功能梯度多孔磁电弹板的等几何建模与自由振动分析
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作者 刘庆运 张红一 +2 位作者 白凯凯 胡晓磊 刘涛 《振动与冲击》 EI CSCD 北大核心 2024年第15期169-178,共10页
针对功能梯度多孔磁电弹(functional graded porous-magneto electro elastic,FGP-MEE)板结构,该文基于等几何分析法(isogeometric analysis,IGA),采用一阶剪切变形理论(first-order shear deformation theory,FSDT)建立了等几何数值分... 针对功能梯度多孔磁电弹(functional graded porous-magneto electro elastic,FGP-MEE)板结构,该文基于等几何分析法(isogeometric analysis,IGA),采用一阶剪切变形理论(first-order shear deformation theory,FSDT)建立了等几何数值分析模型。首先,根据修正幂律(modified power law,MPL)方法得到了具有4种不同孔隙分布形式(V_(u),V_(o),V_(x),V_(v))功能梯度多孔磁电弹结构的等效材料参数;然后,利用磁-电-弹耦合本构方程、哈密顿变分原理以及等几何分析方法推导了FGP-MEE板的控制方程,并通过与已有文献对比,验证了所建模型的有效性和准确性;最后,研究了孔隙系数、功能梯度指数、孔隙分布形式、结构的几何参数(宽厚比、长宽比)以及边界条件对FGP-MEE板自由振动的影响。研究结果表明,材料中孔隙分布形式、孔隙系数以及功能梯度指数的变化对FGP-MEE板的固有频率有较大影响,且在孔隙呈V_o型分布时板的固有频率最大。 展开更多
关键词 功能梯度多孔磁电弹(FGP-MEE)板 等几何分析法(IGA) 一阶剪切变形理论(FSDT) 自由振动
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基于薄板样条径向基函数的复合材料层合板自由振动分析
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作者 宋薇薇 项松 +2 位作者 赵锐 赵为平 郭晗 《计算力学学报》 CAS CSCD 北大核心 2024年第5期954-962,共9页
基于复合材料层合板的三角剪切变形理论,推导了对称复合材料层合板的控制微分方程。利用基于薄板样条径向基函数的无网格配置方法离散的控制微分方程,预测了对称复合材料层合板的自由振动行为。计算了不同材料参数和层合板几何参数的固... 基于复合材料层合板的三角剪切变形理论,推导了对称复合材料层合板的控制微分方程。利用基于薄板样条径向基函数的无网格配置方法离散的控制微分方程,预测了对称复合材料层合板的自由振动行为。计算了不同材料参数和层合板几何参数的固有频率,并与文献结果进行了比较。还研究了节点排布、模量比和边厚比对固有频率的影响。结果表明,本文结果与文献结果具有较好的一致性,节点数量越大,无量纲频率对网格分布越不敏感,固有频率随着边厚比和模量比的增加而增加。通过数值实验,证明了用薄板样条径向基函数离散的三角剪切变形理论对对称复合材料层合板的自由振动分析具有较高的数值精度和良好的收敛性。 展开更多
关键词 三角剪切变形理论 复合材料层合板 自由振动 薄板样条径向基函数 固有频率
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低速冲击下碳纤维面板泡沫夹芯复合材料的损伤分析
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作者 王凡 熊景毅 +2 位作者 王文群 高进城 严仁军 《力学季刊》 CAS CSCD 北大核心 2024年第3期739-749,共11页
主要研究了夹层复合材料受外来载荷作用下的凹痕、横向位移、接触力随时间的变化规律.采用高阶剪切变形理论给出夹层板的广义内力表达式,再由薄板小挠度理论、Hertz接触理论、夹层板平衡方程、Navier法推导出夹层板在外来载荷作用下的... 主要研究了夹层复合材料受外来载荷作用下的凹痕、横向位移、接触力随时间的变化规律.采用高阶剪切变形理论给出夹层板的广义内力表达式,再由薄板小挠度理论、Hertz接触理论、夹层板平衡方程、Navier法推导出夹层板在外来载荷作用下的动态响应过程.其中,夹层板的接触力和横向位移由两自由度弹簧-质量模型给出.将推导的结果与文献中的理论结果对比,本文计算的误差均不超过6%.并在此基础上比较了不同冲击条件下夹层板的抗冲击性能. 展开更多
关键词 夹层板 高阶剪切变形理论 HERTZ接触理论 弹簧质量模型
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弹性约束下变厚度蜂窝夹层板的隔声特性
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作者 王朝能 李凤莲 吕梅 《北京信息科技大学学报(自然科学版)》 2024年第1期21-27,共7页
基于一阶剪切变形理论,研究了变厚度蜂窝夹层板在不同边界条件下的自由振动和隔声性能。从能量角度,利用改进的瑞利-里兹法和流固边界耦合条件,建立并求解了蜂窝夹层板的隔声理论模型。将理论计算的蜂窝夹层板固有频率、传声损失与相关... 基于一阶剪切变形理论,研究了变厚度蜂窝夹层板在不同边界条件下的自由振动和隔声性能。从能量角度,利用改进的瑞利-里兹法和流固边界耦合条件,建立并求解了蜂窝夹层板的隔声理论模型。将理论计算的蜂窝夹层板固有频率、传声损失与相关文献结果和仿真结果对比,验证了所建立变厚度蜂窝夹层板隔声理论模型的准确性。此外,对比分析了特征角、厚度变化系数和边界条件对蜂窝夹层板隔声性能的影响。研究表明,厚度变化系数和边界条件对蜂窝夹层板隔声性能影响较大。 展开更多
关键词 瑞利-里兹法 一阶剪切变形理论 蜂窝夹层板 隔声特性
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温度场下功能梯度圆锥壳-环板振动特性分析
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作者 左朋 石先杰 《哈尔滨工程大学学报》 EI CAS CSCD 北大核心 2024年第4期709-716,共8页
针对功能梯度圆锥壳-环板组合结构振动问题,本文采用一阶剪切变形理论和Rayleigh-Ritz法分析了温度场下组合结构的振动特性。组合结构位移变量采用谱几何法来表征,考虑材料参数与温度相关并引入人工边界弹簧建立了组合结构振动特性分析... 针对功能梯度圆锥壳-环板组合结构振动问题,本文采用一阶剪切变形理论和Rayleigh-Ritz法分析了温度场下组合结构的振动特性。组合结构位移变量采用谱几何法来表征,考虑材料参数与温度相关并引入人工边界弹簧建立了组合结构振动特性分析模型。数值算例中,通过将文中求解结果与文献解和有限元法结果进行对比验证了模型的正确性,进而分析尺寸、材料、温度和连接位置等参数对结构振动特性的影响。研究结果表明:组合结构基频随厚度增加而增加,随着幂律指数、半顶角和温度场参数增加而降低,随环板内径和连接位置变化会呈现非单一变化趋势。 展开更多
关键词 谱几何法 温度场 功能梯度结构 圆锥壳-环板组合结构 自由振动 一阶剪切变形理论 边界弹簧 结构基频
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基于改进Reddy型三阶剪切变形理论的弹性地基上FG-CNTRC板屈曲无网格分析
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作者 许建文 严世涛 +1 位作者 彭林欣 陈卫 《计算力学学报》 CAS CSCD 北大核心 2024年第3期572-581,共10页
针对含碳纳米管转向的Pasternak地基上功能梯度碳纳米管增强复合材料FG-CNTRC(functionally graded carbon nanotube-reinforced composite)板的屈曲问题,提出了一种基于改进Reddy型三阶剪切变形理论TSDT(third-order shear deformation... 针对含碳纳米管转向的Pasternak地基上功能梯度碳纳米管增强复合材料FG-CNTRC(functionally graded carbon nanotube-reinforced composite)板的屈曲问题,提出了一种基于改进Reddy型三阶剪切变形理论TSDT(third-order shear deformation theory)和移动最小二乘近似MLS(moving-least square)的无网格分析模型。该模型避免了无网格法第二类边界条件的施加困难问题,且能够满足中厚/厚板的自由表面条件,无需额外引入剪切修正因子。基于最小势能原理推导了弹性地基上FG-CNTRC板的无网格屈曲控制方程,采用完全转换法处理本质边界条件。通过基准算例验证了本文方法的收敛性及有效性,讨论了碳纳米管的转向角、体积分数、分布形式、地基系数、宽厚比和边界条件等对FG-CNTRC板临界屈曲荷载的影响。 展开更多
关键词 改进Reddy型三阶剪切变形理论 功能梯度碳纳米管增强复合材料板 PASTERNAK地基 临界屈曲荷载 移动最小二乘近似
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复合材料层合板壳结构分析理论研究进展
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作者 宋肖肖 李顶河 《应用力学学报》 CAS CSCD 北大核心 2024年第5期973-998,共26页
复合材料已经广泛应用于航空航天、汽车、船舶、能源等众多工程领域,成为现代轻质高性能结构设计的核心材料,但其独特的复杂性给传统分析理论带来了前所未有的挑战。为了进一步发挥复合材料结构的优势,迫切需要发展先进的力学分析方法... 复合材料已经广泛应用于航空航天、汽车、船舶、能源等众多工程领域,成为现代轻质高性能结构设计的核心材料,但其独特的复杂性给传统分析理论带来了前所未有的挑战。为了进一步发挥复合材料结构的优势,迫切需要发展先进的力学分析方法。系统梳理复合材料层合板壳结构分析理论的研究现状,重点介绍和评述几类代表性的分析理论,包括剪切变形理论、逐层理论、扩展逐层理论、状态空间理论以及多尺度分析方法,分析其在克服复合材料结构复杂性方面的作用和局限性。同时,系统总结了加筋和夹芯复合材料结构的建模方法研究进展。在此基础上,凝练了复合材料层合板壳力学在非线性、多尺度、多物理场耦合等方面面临的关键科学问题,并对今后的重点发展方向进行了展望。研究表明,发展三维精确化逐层理论、融合数据驱动计算力学与层合理论、构建跨尺度多物理场分析方法等将是未来复合材料层合板壳力学的研究热点,多种理论方法的融合与创新将是攻克复杂问题的有效途径。 展开更多
关键词 复合材料 层合板壳 剪切变形理论 逐层理论 状态空间理论 多尺度分析 加筋结构 夹芯结构
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改进Reddy型三阶剪切变形理论下FG-GRC板弯曲和模态分析的无网格法
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作者 杨立军 陈孔 陈卫 《振动与冲击》 EI CSCD 北大核心 2024年第2期79-87,305,共10页
基于含7个自由度变量的改进Reddy型三阶剪切变形理论(third-order deformation theory,TSDT)假设,采用稳定移动最小二乘近似(stabilized moving least-square approximation,SMLS)的无网格法研究了功能梯度石墨烯增强复合材料(functiona... 基于含7个自由度变量的改进Reddy型三阶剪切变形理论(third-order deformation theory,TSDT)假设,采用稳定移动最小二乘近似(stabilized moving least-square approximation,SMLS)的无网格法研究了功能梯度石墨烯增强复合材料(functionally graded graphene-reinforced composite,FG-GRC)板结构的静态线性弯曲和自振模态。通过Halpin-Tsai模型来估算材料的有效弹性模量,有效质量密度和泊松比由混合定律确定。利用最小势能原理和Hamition原理分别推导了FG-GRC板的线性弯曲和自振频率无网格控制方程。由于基于SMLS构造的形函数不满足克罗内克条件,故采用完全转换法处理本质边界条件。该研究首先介绍了基于TSDT下FG-GRC板的SMLS离散模型;随后通过与已有成果进行比较,检验了本文方法的收敛性及准确性;最后数值分析了石墨烯片(graphene platelets,GPLs)分布模式,质量分数、几何参数、总层数及边界条件等对FG-GRC板结构弯曲和模态的影响。 展开更多
关键词 改进Reddy型三阶剪切变形理论(TSDT) 功能梯度石墨烯增强复合材料板 稳定移动最小二乘近似(SMLS) 线性弯曲 自振频率
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Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation 被引量:8
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作者 GUO Xiang Ying,ZHANG Wei & YAO MingHui College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China 《Science China(Technological Sciences)》 SCIE EI CAS 2010年第3期612-622,共11页
An asymptotic perturbation method is presented based on the Fourier expansion and temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated r... An asymptotic perturbation method is presented based on the Fourier expansion and temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations.According to the Reddy's third-order plate theory,the governing equations of motion for the angle-ply composite laminated rectangular thin plate are derived by using the Hamilton's principle.Then,the Galerkin procedure is applied to the partial differential governing equation to obtain a two-degrees-of-freedom nonlinear system including the quadratic and cubic nonlinear terms.Such equations are utilized to deal with the resonant case of 1:1 internal resonance and primary parametric resonance-1/2 subharmonic resonance.Furthermore,the stability analysis is given for the steady-state solutions of the averaged equation.Based on the averaged equation obtained by the asymptotic perturbation method,the phase portrait and power spectrum are used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate.Under certain conditions the various chaotic motions of the angle-ply composite laminated rectangular thin plate are found. 展开更多
关键词 ANGLE-PLY composite LAMINATED plate THIRD-ORDER shear deformation theory PARAMETRIC excitation CHAOTIC motion
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Application of the quadrilateral area coordinate method:a new element for laminated composite plate bending problems 被引量:6
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作者 Song Cen Xiangrong Fu +2 位作者 Yuqiu Long Hongguang Li Zhenhan Yao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2007年第5期561-575,共15页
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 model... 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. 展开更多
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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Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations 被引量:3
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作者 M.ESMAEILZADEH M.KADKHODAYAN +1 位作者 S.MOHAMMADI G.J.TURVEY 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第3期439-458,共20页
The aim of this study is to investigate the dynamic response of axially moving two-layer laminated plates on the Winkler and Pasternak foundations. The upper and lower layers are formed from a bidirectional functional... The aim of this study is to investigate the dynamic response of axially moving two-layer laminated plates on the Winkler and Pasternak foundations. The upper and lower layers are formed from a bidirectional functionally graded(FG) layer and a graphene platelet(GPL) reinforced porous layer, respectively. Henceforth, the combined layers will be referred to as a two-dimensional(2D) FG/GPL plate. Two types of porosity and three graphene dispersion patterns, each of which is distributed through the plate thickness,are investigated. The mechanical properties of the closed-cell layers are used to define the variation of Poisson’s ratio and the relationship between the porosity coefficients and the mass density. For the GPL reinforced layer, the effective Young’s modulus is derived with the Halpin-Tsai micro-system model, and the rule of mixtures is used to calculate the effective mass density and Poisson’s ratio. The material of the upper 2D-FG layer is graded in two directions, and its effective mechanical properties are also derived with the rule of mixtures. The dynamic governing equations are derived with a first-order shear deformation theory(FSDT) and the von Kármán nonlinear theory. A combination of the dynamic relaxation(DR) and Newmark’s direct integration methods is used to solve the governing equations in both time and space. A parametric study is carried out to explore the effects of the porosity coefficients, porosity and GPL distributions, material gradients, damping ratios, boundary conditions, and elastic foundation stiffnesses on the plate response. It is shown that both the distributions of the porosity and graphene nanofillers significantly affect the dynamic behaviors of the plates. It is also shown that the reduction in the dynamic deflection of the bilayer composite plates is maximized when the porosity and GPL distributions are symmetric. 展开更多
关键词 moving laminated plate bidirectional functionally graded material(FGM) graphene nanoplatelet POROSITY first-order shear deformation theory(FSDT) Newmark’s integration method
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