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A reconstructed edge-based smoothed DSG element based on global coordinates for analysis of Reissner–Mindlin plates

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Acta Mechanica Sinica 2017年第1期33卷 83-105页

作者： Gang Yang De’an Hu shuyao long State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle Engineering Hunan University Changsha 410082China

A reconstructed edge-based smoothed triangular element, which is incorporated with the discrete shear gap (DSG) method, is formulated based on the global coordinate for analysis of Reissner-Mindlin plates. A symbolic integration combined with the smoothing technique is implemented to calculate the smoothed finite element matrices, which is integrated along the boundaries of each smoothing cell. Numerical results show that the proposed element is free from shear locking, and its results are in good agreement with the exact solutions, even for very thin plates with extremely distorted elements. The proposed element gives more accurate results than the original DSG element without smoothing, and it can be taken as an alternative element for analysis of Reissner-Mindlin plates. The prominent feature of the present element is that the integration scheme is unified in the smoothed form for all of the finite element matrices.

关键词： Reissner-Mindlin plate DSG method Symbolic integration Smoothing technique Global coordinate Distorted element

ELASTIC DYNAMIC ANALYSIS OF MODERATELY THICK PLATE USING MESHLESS LRPIM

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Acta Mechanica Solida Sinica 2009年第2期22卷 116-124页

作者： Ping Xia shuyao long Hongxue Cui State Key Laboratory of Advanced Design and Manufacture for Vehicle Body Hunan University Changsha 410082 China College of Mechanics and Aerospace Engineering Hunan University Changsha 410082 China Department of Mechanical Engineering Hunan Institute of Engineering Xiangtan 411101 China

A meshless local radial point interpolation method （LRPIM） for solving elastic dy-namic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function （RBF） coupled with a polynomial basis function as a trial function,and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function,and no additional treatment is done to impose essen-tial boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate.

关键词： meshless method moderately thick plate local radial point interpolation method,dynamic analysis Newmark method

A MESHLESS LOCAL PETROV-GALERKIN METHOD FOR GEOMETRICALLY NONLINEAR PROBLEMS

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Acta Mechanica Solida Sinica 2005年第4期18卷 348-356页

作者： Xiong Yuanbo long shuyao Hu De＇an Li Guangyao Department of Engineering Mechanics Hunan University Changsha 410082 China Key Laboratory of Advanced Technology for Vehicle Body Design ~ Manufacture Ministry of Education of China Hunan University Changsha 410082 China

Nonlinear formulations of the meshless local Petrov-Galerkin （MLPG） method are presented for geometrically nonlinear problems. The method requires no mesh in computation and therefore avoids mesh distortion difficulties in the large deformation analysis. The essential boundary conditions in the present formulation axe imposed by a penalty method. An incremental and iterative solution procedure is used to solve geometrically nonlinear problems. Several examples are presented to demonstrate the effectiveness of the method in geometrically nonlinear problems analysis. Numerical results show that the MLPG method is an effective one and that the values of the unknown variable are quite accurate.

关键词： local Petrov-Galerkin method moving least square approximation total Lagranian method geometrically nonlinear problems

A STUDY ON THE WEIGHT FUNCTION OF THE MOVING LEAST SQUARE APPROXIMATION IN THE LOCAL BOUNDARY INTEGRAL EQUATION METHOD

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Acta Mechanica Solida Sinica 2003年第3期16卷 276-282页

作者： long shuyao Hu De’an (Department of Engineering Mechanics,Hunan University,Changsha 410082,China) DepartmentofEngineeringMechanics HunanUniversityChangsha410082China

The meshless method is a new numerical technique presented in recent *** uses the moving least square(MLS)approximation as a shape *** smoothness of the MLS approximation is determined by that of the basic function and of the weight function,and is mainly determined by that of the weight ***,the weight function greatly affects the accuracy of results *** kinds of weight functions,such as the spline function, the Gauss function and so on,are proposed recently by many *** the present work,the features of various weight functions are illustrated through solving elasto-static problems using the local boundary integral equation *** effect of various weight functions on the accuracy, convergence and stability of results obtained is also *** show that the weight function proposed by Zhou Weiyuan and Gauss and the quartic spline weight function are better than the others if parameters c and α in Gauss and exponential weight functions are in the range of reasonable values,respectively,and the higher the smoothness of the weight function,the better the features of the solutions.

关键词： weight function meshless methods local boundary integral equation method moving least square approximation

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端部方锥形薄壁构件的抗撞性尺寸优化

机械强度 2007年第4期29卷 682-685页

作者：侯淑娟李青龙述尧湖南大学汽车车身先进设计制造国家重点实验室长沙410082 湖南大学力学与航空航天学院长沙410082

基于显式有限元技术,采用响应面法,以结构的比吸能为优化函数,以提高车辆吸能原件的抗撞性为目的,研究正方形截面金属薄壁构件的端部锥形尺寸对抗撞性的影响。经过数值分析,得出端部为方锥形的正方形截面薄壁构件的比吸能关于锥形长度... 详细信息

基于显式有限元技术,采用响应面法,以结构的比吸能为优化函数,以提高车辆吸能原件的抗撞性为目的,研究正方形截面金属薄壁构件的端部锥形尺寸对抗撞性的影响。经过数值分析,得出端部为方锥形的正方形截面薄壁构件的比吸能关于锥形长度和小锥边长的变化规律,这些规律可以用于实际吸能原件的设计,为进一步研究奠定基础。

关键词：优化有限元锥形薄壁构件抗撞性比吸能

A Statistical Finite Element Analysis for Heat Transfer Parameters of Composite Material with Grains Randomly Distributed

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A Statistical Finite Element Analysis for Heat Transfer Para...

用无网格局部径向点插值法分析非均质中厚板的弯曲问题

2005国际机械工程与力学会议

作者： Youyun LI shuyao long Junzhi CUI College of Mathematics Changsha University of Science and Technology College of Mechanics and Aerospace Hunan University Academy of Mathematics and System Sciences CAS

In this paper, a statistical finite element （SFE） analysis for predicting the equivalent heat transfer parameters of the composite material with random grains is presented. Firstly, some definitions of the probability space and the composite material with grains randomly distributed are briefly described. Next, the statistical two-scale analysis （STSA） formulation for predicting the equivalent heat transfer parameters of the composite material with grains randomly distributed is presented. Then, a SFE procedure for the composite material with grains randomly distributed is described and one numerical example is demonstrated. Finally, the convergence and the error estimate of the equivalent heat transfer parameters are given. The numerical result shows that the SFE method based on STSA is a feasible and valid method for predicting the equivalent heat transfer parameters of the composite material with grains randomly distributed.

关键词： SFE STSA Equivalent heat transfer parameter

来源： cnki会议评论

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固体力学学报 2009年第4期30卷 376-382页

作者：夏平龙述尧毛文贵湖南工程学院机械工程学院湘潭411101 湖南大学力学与航空航天学院长沙410082

用无网格局部径向点插值法分析了非均质中厚板的弯曲问题.利用虚位移原理推导了中厚板的离散系统方程.采用径向基函数耦合多项式基函数来近似试函数,用四次样条函数作为加权残值公式中的权函数.所构造成的形函数具有Kronecker delta性质... 详细信息

用无网格局部径向点插值法分析了非均质中厚板的弯曲问题.利用虚位移原理推导了中厚板的离散系统方程.采用径向基函数耦合多项式基函数来近似试函数,用四次样条函数作为加权残值公式中的权函数.所构造成的形函数具有Kronecker delta性质,可以很方便地施加本质边界条件.此方法不需要任何形式的网格划分,所有的积分都在规则形状的子域及其边界上进行,是一种真正的无网格方法.在计算过程中,取积分中的高斯点的材料参数来模拟问题域材料特性的变化.算例结果表明这种无网格方法具有效率高、精度高和易于实现等优点.

关键词：无网格法非均质中厚板局部径向点插值法径向基函数弯曲问题

基于无单元Galerkin方法的受迫振动下的连续体结构拓扑优化

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固体力学学报 2011年第5期32卷 527-533页

作者：郑娟龙述尧李光耀湖南大学汽车车身先进设计制造国家重点实验室长沙410082

基于无单元Galerkin法(EFG)对受迫振动下的连续体结构进行拓扑优化设计.选取节点的相对密度作为设计变量,以动柔度最小化为目标函数,基于带惩罚的各向同性固体材料模型(SIMP)建立了受迫振动下的连续体结构拓扑优化模型,采用伴随法求解... 详细信息

基于无单元Galerkin法(EFG)对受迫振动下的连续体结构进行拓扑优化设计.选取节点的相对密度作为设计变量,以动柔度最小化为目标函数,基于带惩罚的各向同性固体材料模型(SIMP)建立了受迫振动下的连续体结构拓扑优化模型,采用伴随法求解得到目标函数的敏度分析公式,利用优化准则法对优化模型进行求解.通过经典的二维连续体结构拓扑优化算例证明了该方法的可行性和有效性.

关键词：无单元Galerkin方法(EFG) 受迫振动 SIMP插值模型优化准则方法连续体结构拓扑优化设计

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海洋平台水动力系数识别及精度分析

固体力学学报 2011年第4期32卷 405-410页

作者：李少华时忠民龙述尧丁桦湖南大学机械与运载工程学院长沙410082 西安科技大学力学系西安710054 中海石油研究中心北京100027 中国科学院力学研究所北京100190

论文利用新动态模型减缩方法对海洋平台结构进行自由度减缩,利用简化后的模型对水动力系数进行反演,改善了反演模型中解的不确定性,并对载荷反演中的病态问题进行了探讨,同时给出了反演结果的评估方法,为反演中测量数据的获取提供了依据... 详细信息

论文利用新动态模型减缩方法对海洋平台结构进行自由度减缩,利用简化后的模型对水动力系数进行反演,改善了反演模型中解的不确定性,并对载荷反演中的病态问题进行了探讨,同时给出了反演结果的评估方法,为反演中测量数据的获取提供了依据,提高了反演结果的可靠性.

关键词：水动力系数反演病态动态模型减缩自由度减缩