The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES...The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element(MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index(k) and maximum porosity distributions(U) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.展开更多
泥石流是我国西南山区常见的地质灾害。架空输电杆塔在泥石流的冲击下往往发生基础破坏甚至会造成杆塔倒塌。首先采用光滑粒子流体动力学(smoothed particle hydrodynamics,简称SPH)方法和有限元方法(finite element method,简称FEM)相...泥石流是我国西南山区常见的地质灾害。架空输电杆塔在泥石流的冲击下往往发生基础破坏甚至会造成杆塔倒塌。首先采用光滑粒子流体动力学(smoothed particle hydrodynamics,简称SPH)方法和有限元方法(finite element method,简称FEM)相耦合的三维数值方法模拟了泥石流对杆塔基础的冲击作用;在与相关模型试验结果验证的基础上,开展了不同泥石流密度、黏度系数及初始速度条件下对输电塔基础的冲击力作用的参数分析;研究结果表明:随着泥石流初始速度的增加,冲击力峰值会随之增大;前排基础的冲击力峰值均大于后排基础;泥石流冲击过程特性受到泥石流密度和黏度系数影响。与稀性泥石流相比:黏性泥石流冲击基础后,基础下游真空区相对要小;此外,将数值模拟结果与Kwan冲击力公式及铁二院推荐的冲击压力设计公式预测值进行对比分析可以发现:Kwan冲击力公式能较好地预测出基础所受泥石流冲击力的平均趋势,最大预测误差低于30%,铁二院公式预测的稀性和黏性泥石流的冲击压力平均偏低分别约17%和28%。相关研究结果有望为泥石流频发区域输电塔基础的设计和风险评估提供一定的参考依据。展开更多
针对飞机典型部位在遭到高速破片攻击后结构整体的战伤状态及破片的剩余行为开展数值模拟。应用LS-DYNA软件,结合有限单元方法(finite element method,FEM)和光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)两者的优势,建立...针对飞机典型部位在遭到高速破片攻击后结构整体的战伤状态及破片的剩余行为开展数值模拟。应用LS-DYNA软件,结合有限单元方法(finite element method,FEM)和光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)两者的优势,建立自适应的FEM-SPH耦合模拟方法,并构建2种飞机典型部位的计算模型,采用六面体网格局部细化方法实现了核心位置的精确模拟,并进行试验来验证数值模型;开展了一系列高速冲击战伤模拟,对比了不同工况下破片高速冲击结构后形成的碎片云和破口形貌,并对破片的剩余速度和质量进行分析,确定了破片在结构蒙皮上的临界跳飞角。结果表明:自适应FEM-SPH耦合算法的计算结果与试验结果吻合良好,能够对破片高速冲击战伤进行有效准确模拟;碎片云分布形状随破片速度增加变得狭长,冲击角度会改变碎片云和结构破口形状朝向;碎片云高度和扩散速度随破片速度或角度的变化趋势基本一致并都呈线性关系;破片的速度减少量不随初始速度变化,质量减少量则与冲击速度正相关,两者与冲击角度都负相关;破片临界跳飞角与冲击速度大小基本呈线性关系。展开更多
提出了一种新的近场动力学-有限元方法(peridynamics-finite element method,PD-FEM)混合模型.该模型用于求解材料热力耦合损伤问题,将求解域划分为近场动力学(PD)区域和有限元方法(FEM)区域,通过FEM节点与PD物质点构成的混合键连接各...提出了一种新的近场动力学-有限元方法(peridynamics-finite element method,PD-FEM)混合模型.该模型用于求解材料热力耦合损伤问题,将求解域划分为近场动力学(PD)区域和有限元方法(FEM)区域,通过FEM节点与PD物质点构成的混合键连接各个子区域.采用该模型对氧化铝陶瓷板在热冲击载荷作用下的损伤行为进行了模拟分析,计算结果表明,采用该混合模型获得的裂纹萌生及扩展与实验研究结果吻合良好,验证了该模型的正确性.该PD-FEM混合模型继承了PD处理不连续问题的优势,同时,由于FEM的引入,大大提高了PD方法在研究材料热力耦合损伤问题时的求解效率.展开更多
The paper considers application of artificial neural networks(ANNs)for fast numerical evaluation of a residual impactor velocity for a family of perforated PMMA(Polymethylmethacrylate)targets.The ANN models were train...The paper considers application of artificial neural networks(ANNs)for fast numerical evaluation of a residual impactor velocity for a family of perforated PMMA(Polymethylmethacrylate)targets.The ANN models were trained using sets of numerical results on impact of PMMA plates obtained via dynamic FEM coupled with incubation time fracture criterion.The developed approach makes it possible to evaluate the impact strength of a particular target configuration without complicated FEM calculations which require considerable computational resources.Moreover,it is shown that the ANN models are able to predict results for the configurations which cannot be processed using the developed FEM routine due to numerical instabilities and errors:the trained neural network uses information from successful computations to obtain results for the problematic cases.A simple static problem of a perforated plate deformation is discussed prior to the impact problem and preferable ANN architectures are presented for both problems.Some insight into the perforation pattern optimization using a genetic algorithm coupled with the ANN is also made and optimized perforation patterns which theoretically enhance the target impact strength are constructed.展开更多
振动污染在国际上已被列入“七大环境公害”之一,填充沟是振动污染治理的一种常用隔振屏障。传统的填充沟受工程造价和施工工艺等限制工程中应用较困难;为克服上述问题,提出一种新型隔振屏障-内插预制芯墙的劲芯水泥土墙。对于饱和地基...振动污染在国际上已被列入“七大环境公害”之一,填充沟是振动污染治理的一种常用隔振屏障。传统的填充沟受工程造价和施工工艺等限制工程中应用较困难;为克服上述问题,提出一种新型隔振屏障-内插预制芯墙的劲芯水泥土墙。对于饱和地基中劲芯水泥土墙的隔振问题,饱和地基采用饱和土半解析边界元法(boundary element method,BEM)建模,劲芯水泥土墙采用有限元法(finite element method,FEM)建模,根据饱和地基-水泥土墙交界面的平衡和连续性条件,分别建立了劲芯水泥土墙对入射Rayleigh波(瑞利波)的远场被动隔振和对动力机器基础振动近场主动隔振的半解析BEM-FEM耦合分析方法,并对劲芯水泥土墙的隔振效果进行了计算分析。研究结果表明:饱和地基中设置劲芯水泥土墙能够起到较好的隔振作用,其隔振效果与混凝土墙基本相当且远优于纯水泥土墙;预制芯墙在劲芯水泥土墙隔振系统中起关键作用,为避免弹性波从芯墙底绕射而降低隔振效果,预制芯墙深度应与水泥土墙深度保持一致;增大芯墙厚度对隔振效果提升不大。在等深芯墙条件下,增大墙深能显著提高远场隔振效果,但对近场隔振效果提升较小;增大墙厚也可提高隔振效果,但提高幅度不大。实际工程中,建议结合工程造价和施工工艺,选择合适的水泥土墙和预制芯墙墙厚。此外,屏障距振源距离对主动隔振效果影响较小,建议根据被保护建筑与振源之间的实际情况,选择合适位置构建隔振屏障。展开更多
针对二维介质目标的电磁成像问题,将正余弦算法(Sine Cosine Algorithm,SCA)与有限元方法(Finite Element Method,FEM)和不变性测试方程(Measured Equation of Invariance,MEI)进行结合提出一种新的成像方法。将FEM与MEI进行结合求解二...针对二维介质目标的电磁成像问题,将正余弦算法(Sine Cosine Algorithm,SCA)与有限元方法(Finite Element Method,FEM)和不变性测试方程(Measured Equation of Invariance,MEI)进行结合提出一种新的成像方法。将FEM与MEI进行结合求解二维介质目标的电磁散射正问题,即求解Helmholtz方程。其中,MEI保证边界截断的精度,FEM适用于复杂介质目标的准确模拟。对于电磁散射逆问题,引入SCA并加以改进提出一种新的重构方法。该方法采用等效原理与格林函数的渐近式求得远区散射场,以测量的散射场和计算的散射场最大偏差为目标函数,采用改进的SCA优化介质参数,使目标函数达到最小值,以此重构散射体。为提高计算效率,采用MPI算法进行并行计算。文中采用基准函数展示了改进的SCA算法的快速收敛性,并采用非规则的均匀介质柱目标验证了成像方法的正确性。展开更多
基金funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant number 107.02-2019.330。
文摘The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous(FGP) variable-thickness plates by using an edge-based smoothed finite element method(ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element(MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index(k) and maximum porosity distributions(U) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.
文摘泥石流是我国西南山区常见的地质灾害。架空输电杆塔在泥石流的冲击下往往发生基础破坏甚至会造成杆塔倒塌。首先采用光滑粒子流体动力学(smoothed particle hydrodynamics,简称SPH)方法和有限元方法(finite element method,简称FEM)相耦合的三维数值方法模拟了泥石流对杆塔基础的冲击作用;在与相关模型试验结果验证的基础上,开展了不同泥石流密度、黏度系数及初始速度条件下对输电塔基础的冲击力作用的参数分析;研究结果表明:随着泥石流初始速度的增加,冲击力峰值会随之增大;前排基础的冲击力峰值均大于后排基础;泥石流冲击过程特性受到泥石流密度和黏度系数影响。与稀性泥石流相比:黏性泥石流冲击基础后,基础下游真空区相对要小;此外,将数值模拟结果与Kwan冲击力公式及铁二院推荐的冲击压力设计公式预测值进行对比分析可以发现:Kwan冲击力公式能较好地预测出基础所受泥石流冲击力的平均趋势,最大预测误差低于30%,铁二院公式预测的稀性和黏性泥石流的冲击压力平均偏低分别约17%和28%。相关研究结果有望为泥石流频发区域输电塔基础的设计和风险评估提供一定的参考依据。
文摘针对飞机典型部位在遭到高速破片攻击后结构整体的战伤状态及破片的剩余行为开展数值模拟。应用LS-DYNA软件,结合有限单元方法(finite element method,FEM)和光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)两者的优势,建立自适应的FEM-SPH耦合模拟方法,并构建2种飞机典型部位的计算模型,采用六面体网格局部细化方法实现了核心位置的精确模拟,并进行试验来验证数值模型;开展了一系列高速冲击战伤模拟,对比了不同工况下破片高速冲击结构后形成的碎片云和破口形貌,并对破片的剩余速度和质量进行分析,确定了破片在结构蒙皮上的临界跳飞角。结果表明:自适应FEM-SPH耦合算法的计算结果与试验结果吻合良好,能够对破片高速冲击战伤进行有效准确模拟;碎片云分布形状随破片速度增加变得狭长,冲击角度会改变碎片云和结构破口形状朝向;碎片云高度和扩散速度随破片速度或角度的变化趋势基本一致并都呈线性关系;破片的速度减少量不随初始速度变化,质量减少量则与冲击速度正相关,两者与冲击角度都负相关;破片临界跳飞角与冲击速度大小基本呈线性关系。
文摘提出了一种新的近场动力学-有限元方法(peridynamics-finite element method,PD-FEM)混合模型.该模型用于求解材料热力耦合损伤问题,将求解域划分为近场动力学(PD)区域和有限元方法(FEM)区域,通过FEM节点与PD物质点构成的混合键连接各个子区域.采用该模型对氧化铝陶瓷板在热冲击载荷作用下的损伤行为进行了模拟分析,计算结果表明,采用该混合模型获得的裂纹萌生及扩展与实验研究结果吻合良好,验证了该模型的正确性.该PD-FEM混合模型继承了PD处理不连续问题的优势,同时,由于FEM的引入,大大提高了PD方法在研究材料热力耦合损伤问题时的求解效率.
基金Russian Science Foundation[grant number 22-71-10019].
文摘The paper considers application of artificial neural networks(ANNs)for fast numerical evaluation of a residual impactor velocity for a family of perforated PMMA(Polymethylmethacrylate)targets.The ANN models were trained using sets of numerical results on impact of PMMA plates obtained via dynamic FEM coupled with incubation time fracture criterion.The developed approach makes it possible to evaluate the impact strength of a particular target configuration without complicated FEM calculations which require considerable computational resources.Moreover,it is shown that the ANN models are able to predict results for the configurations which cannot be processed using the developed FEM routine due to numerical instabilities and errors:the trained neural network uses information from successful computations to obtain results for the problematic cases.A simple static problem of a perforated plate deformation is discussed prior to the impact problem and preferable ANN architectures are presented for both problems.Some insight into the perforation pattern optimization using a genetic algorithm coupled with the ANN is also made and optimized perforation patterns which theoretically enhance the target impact strength are constructed.
文摘振动污染在国际上已被列入“七大环境公害”之一,填充沟是振动污染治理的一种常用隔振屏障。传统的填充沟受工程造价和施工工艺等限制工程中应用较困难;为克服上述问题,提出一种新型隔振屏障-内插预制芯墙的劲芯水泥土墙。对于饱和地基中劲芯水泥土墙的隔振问题,饱和地基采用饱和土半解析边界元法(boundary element method,BEM)建模,劲芯水泥土墙采用有限元法(finite element method,FEM)建模,根据饱和地基-水泥土墙交界面的平衡和连续性条件,分别建立了劲芯水泥土墙对入射Rayleigh波(瑞利波)的远场被动隔振和对动力机器基础振动近场主动隔振的半解析BEM-FEM耦合分析方法,并对劲芯水泥土墙的隔振效果进行了计算分析。研究结果表明:饱和地基中设置劲芯水泥土墙能够起到较好的隔振作用,其隔振效果与混凝土墙基本相当且远优于纯水泥土墙;预制芯墙在劲芯水泥土墙隔振系统中起关键作用,为避免弹性波从芯墙底绕射而降低隔振效果,预制芯墙深度应与水泥土墙深度保持一致;增大芯墙厚度对隔振效果提升不大。在等深芯墙条件下,增大墙深能显著提高远场隔振效果,但对近场隔振效果提升较小;增大墙厚也可提高隔振效果,但提高幅度不大。实际工程中,建议结合工程造价和施工工艺,选择合适的水泥土墙和预制芯墙墙厚。此外,屏障距振源距离对主动隔振效果影响较小,建议根据被保护建筑与振源之间的实际情况,选择合适位置构建隔振屏障。
文摘针对二维介质目标的电磁成像问题,将正余弦算法(Sine Cosine Algorithm,SCA)与有限元方法(Finite Element Method,FEM)和不变性测试方程(Measured Equation of Invariance,MEI)进行结合提出一种新的成像方法。将FEM与MEI进行结合求解二维介质目标的电磁散射正问题,即求解Helmholtz方程。其中,MEI保证边界截断的精度,FEM适用于复杂介质目标的准确模拟。对于电磁散射逆问题,引入SCA并加以改进提出一种新的重构方法。该方法采用等效原理与格林函数的渐近式求得远区散射场,以测量的散射场和计算的散射场最大偏差为目标函数,采用改进的SCA优化介质参数,使目标函数达到最小值,以此重构散射体。为提高计算效率,采用MPI算法进行并行计算。文中采用基准函数展示了改进的SCA算法的快速收敛性,并采用非规则的均匀介质柱目标验证了成像方法的正确性。
