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地震激励下等横截面无限水库频域和时域响应的FEM-SBFEM计算方法
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作者 李上明 肖世富 《应用数学和力学》 北大核心 2025年第4期425-437,共13页
坝体抗震设计和评估需要准确计算无限水库动力响应.基于比例边界有限元法(scaled boundary finite element method,SBFEM)力学推导技术,推导了顺河向地震激励下等横截面无限水域频域响应计算公式,利用Fourier逆变换建立了时域响应控制方... 坝体抗震设计和评估需要准确计算无限水库动力响应.基于比例边界有限元法(scaled boundary finite element method,SBFEM)力学推导技术,推导了顺河向地震激励下等横截面无限水域频域响应计算公式,利用Fourier逆变换建立了时域响应控制方程,通过线性叠加推导了顺河、横河、竖直三向组合地震激励下的无限水域频域和时域响应的SBFEM计算公式.结合有限元法,建立了无限水库频域和时域响应的FEM-SBFEM耦合方程.分析了地震激励下的二维、三维等横截面无限水库频域、时域响应,数值验证了所建立计算公式的正确性.所发展的FEM-SBFEM公式体系可推广应用于库底库岸具有吸收性的、横截面有任意几何形状的无限水库谐响应及瞬态响应分析. 展开更多
关键词 无限水库 瞬态分析 谐响应分析 比例边界有限元 有限元
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基于DEM-FEM耦合的喷丸强化响应面模型构建及工艺参数影响分析
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作者 张洪伟 闫锡超 +1 位作者 高师 陈涛 《机械强度》 北大核心 2025年第3期67-74,共8页
为了模拟喷丸强化过程,实现喷丸强化效果快速预测,基于Abaqus软件采用离散元法-有限元法(Discrete Element Method-Finite Element Method,DEM-FEM)耦合建立随机多丸粒喷丸强化模型,并以TC4钛合金为研究对象,通过喷丸强化试验来验证耦... 为了模拟喷丸强化过程,实现喷丸强化效果快速预测,基于Abaqus软件采用离散元法-有限元法(Discrete Element Method-Finite Element Method,DEM-FEM)耦合建立随机多丸粒喷丸强化模型,并以TC4钛合金为研究对象,通过喷丸强化试验来验证耦合模型的准确性。采用Box-Behnken设计(Box-Behnken Design,BBD)法,针对弹丸大小、喷丸速度和喷丸覆盖率3个工艺参数设计了三因素三水平的喷丸仿真试验方案,采用仿真分析获得表面残余应力值及表面粗糙度值,并通过Design-Expert软件进行数值拟合,最终得到喷丸工艺参数与表面残余应力和表面粗糙度之间的函数模型,采用响应面法分析弹丸大小、喷丸速度、喷丸覆盖率三因素之间的交互作用以及对喷丸强化效果的影响规律。结果表明,响应面预测模型结果与仿真计算结果误差低于5%,所建立的响应面预测模型具有较高的近似精度和可靠性,利用此模型可实现喷丸强化效果的有效预测。 展开更多
关键词 喷丸强化 响应面 离散元-有限元耦合 BOX-BEHNKEN设计
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含铀材料侵彻装甲板FEM/SPH耦合算法模拟研究
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作者 陈佳辰 苏自强 +2 位作者 康晶 廉冰 王彦 《核电子学与探测技术》 北大核心 2025年第6期910-914,共5页
含铀材料侵彻装甲板的过程是一个大变形冲击动力学问题。含铀材料侵彻装甲板后不仅会对水源和土壤造成污染,还会对人体造成持久的伤害。因此,需要关注含铀材料侵彻装甲板后气溶胶的释放和沉降问题。本文基于LS-DYNA软件,使用FEM/SPH耦... 含铀材料侵彻装甲板的过程是一个大变形冲击动力学问题。含铀材料侵彻装甲板后不仅会对水源和土壤造成污染,还会对人体造成持久的伤害。因此,需要关注含铀材料侵彻装甲板后气溶胶的释放和沉降问题。本文基于LS-DYNA软件,使用FEM/SPH耦合算法对含铀材料侵彻装甲板的过程进行数值模拟,讨论了含铀材料与装甲板相互作用机制以及变形失效行为;对FEM/SPH耦合算法和FEM方法的模拟结果进行比较,分析两种方法在高速碰撞问题中的优缺点。结果表明,与FEM方法相比,FEM/SPH耦合算法能形象地模拟出高速侵彻过程中材料的破坏、飞溅等现象,此外,获取了含铀材料侵彻装甲板过程中的气溶胶转化率。 展开更多
关键词 LS-DYNA fem/SPH耦合算法 fem方法
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基于自适应FEM-SPH耦合的换流变压器电弧故障结构失效行为研究
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作者 闫晨光 徐彻 +3 位作者 李嘉熙 吕伊瑶 桑凡雅 刘浩 《中国电机工程学报》 北大核心 2025年第9期3370-3379,I0008,共11页
近年来,部分特高压换流变压器在运行中相继发生电弧短路故障并引发爆炸、起火事故,严重威胁直流系统安全稳定运行。充油设备故障冲击下的结构失效机制尚不明确,且缺乏成熟的数值计算方法,制约故障防爆技术的发展。基于此,该文提出一套... 近年来,部分特高压换流变压器在运行中相继发生电弧短路故障并引发爆炸、起火事故,严重威胁直流系统安全稳定运行。充油设备故障冲击下的结构失效机制尚不明确,且缺乏成熟的数值计算方法,制约故障防爆技术的发展。基于此,该文提出一套适用于高能电弧故障冲击的结构失效仿真计算方法。首先,建立有限腔体内油中电弧能量持续注入的气泡动力学模型,准确描述故障气泡的脉动膨胀行为;其次,提出自适应有限元-光滑粒子流体动力学(finite element method-smoothed particle hydrodynamics,FEM-SPH)耦合方法,利用SPH粒子继承失效前的物理信息参与FEM计算;进行不同能量、不同位置的电弧故障仿真计算,获得换流变压器结构的薄弱区域及其破裂行为,复现了油箱结构失效行为。研究发现,油箱顶盖两侧及侧壁转角接缝位置容易发生应力集中现象。一旦结构出现裂缝,将在极短时间内沿着应力集中方向快速发展,最终导致壁面整体撕裂。可知,该方法揭示的结构失效行为可为改进变压器设计和提高设备安全性提供依据。 展开更多
关键词 电弧故障 换流变压器 有限元-光滑粒子流体动力学耦合 结构失效 数值方法
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基于CFD-FEM耦合方法的冰柱碰撞响应研究
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作者 宋英龙 杨博睿 +3 位作者 赵禹 杨碧野 郑瑜娜 张桂勇 《振动与冲击》 北大核心 2025年第15期67-74,共8页
碰撞冰载荷是影响极地海洋结构物作业安全的重要因素。基于CFD(computational fluid dynamics)软件STAR-CCM+和FEM软件Abaqus协同仿真,构建了计算结构物-浮冰-水相互作用的数值模型,开展了圆柱形结构物与方形浮冰的碰撞响应研究并分析... 碰撞冰载荷是影响极地海洋结构物作业安全的重要因素。基于CFD(computational fluid dynamics)软件STAR-CCM+和FEM软件Abaqus协同仿真,构建了计算结构物-浮冰-水相互作用的数值模型,开展了圆柱形结构物与方形浮冰的碰撞响应研究并分析了不同因素对碰撞响应的影响。进一步从能量转换的角度,提出了一种考虑浮冰初始旋转的碰撞力修正模型。分析了碰撞前、碰撞中和碰撞后阶段对碰撞力峰值的影响,实现了对带有初始旋转的浮冰碰撞载荷的快速估算。研究发现,碰撞前浮冰速度衰减、碰撞持续时间和碰撞后浮冰的转动对碰撞力均有较大影响,碰撞力随浮冰旋转角度增大呈现出先增大后减小的变化趋势。 展开更多
关键词 CFD-fem耦合 协同仿真 浮冰 结构物 碰撞响应
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基于SPH-DEM-FEM方法的高位滑坡冲击框架建筑群损毁机制研究
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作者 樊晓一 邓鑫 +3 位作者 刘欢 夏贵平 宋嘉麒 杨居颐 《振动与冲击》 北大核心 2025年第15期235-248,288,共15页
高位滑坡对建筑集群的冲击破坏时常导致严重的人员伤亡,基于光滑粒子流体动力学-离散元法-有限元法(smoothed particle hydrodynamics-discrete element method-finite element method,SPH-DEM-FEM)耦合的数值模型,开展了高位滑坡对框... 高位滑坡对建筑集群的冲击破坏时常导致严重的人员伤亡,基于光滑粒子流体动力学-离散元法-有限元法(smoothed particle hydrodynamics-discrete element method-finite element method,SPH-DEM-FEM)耦合的数值模型,开展了高位滑坡对框架结构建筑群的冲击过程、建筑结构破坏机理、冲击力时程与框架柱关键点应力和弯矩等动力机制研究。研究结果表明:SPH-DEM-FEM耦合数值方法能够有效地模拟碎石土滑坡中土(SPH)石(DEM)混合物的抛射弹跳、爬高绕流冲击运动过程。考虑了常规建筑垂直、平行于滑坡流向的三排建筑组合布局,位于滑坡近端的纵向排列建筑表现为连续性倾倒破坏,横向排列的建筑则呈现整体倾倒破坏;因前排建筑群对滑坡冲击能量的耗散及滑坡自身摩擦耗能,位于滑坡后端建筑表现为引流面墙体和前排柱发生局部破坏,结构保持稳定,损毁程度依次为上游无建筑缓冲耗能的建筑>有横向排列的建筑>有纵向排列的建筑;纵向、横向排列的建筑冲击力衰减幅度分别31%、21%。横向框架建筑整体倾倒的损毁机制表现为框架柱的直接剪断或节点塑形铰链失效;纵向框架建筑连续性倾倒的损毁机制表现为前排框架柱的失效引起后排框架柱轴向压力和极限弯矩增加,持续冲击荷载超过其极限弯矩致使后排框架柱发生弯曲破坏,最终结构倾倒。系统能量在动能、内能和摩擦耗能间转化,其中摩擦耗能占65.5%,结构耗能占23.6%,动能快速下降与内能急剧增加是建筑破坏的关键特征。 展开更多
关键词 光滑粒子流体动力学-离散元法-有限元法-(SPH-DEM-fem) 高位滑坡 框架结构建筑群 损毁机制 动力机制
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考虑局部场地效应的土-结构动力相互作用SEMFEM耦合模拟方法
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作者 于彦彦 刘梦娇 丁海平 《力学学报》 北大核心 2025年第6期1432-1445,共14页
考虑局部场地影响的结构地震反应分析中,合理有效的地震动输入非常关键.基于分区计算思想,发展了一种谱元和有限元耦合的两步模拟方法.首先,采用谱元法(SEM)结合多次透射公式(MTF),模拟平面波入射下仅含局部场地模型内部缩减计算域边界... 考虑局部场地影响的结构地震反应分析中,合理有效的地震动输入非常关键.基于分区计算思想,发展了一种谱元和有限元耦合的两步模拟方法.首先,采用谱元法(SEM)结合多次透射公式(MTF),模拟平面波入射下仅含局部场地模型内部缩减计算域边界区节点的位移时程.结合谱元法的特点此时可采用只需满足背景场地模型模拟精度要求的相对粗略的网格.其次,将上述位移时程直接施加于土-结构计算域的边界区节点完成地震动输入,采用有限元法(FEM)模拟土-结构系统的动力反应.此时可对结构域采用精细化网格建模,并基于MTF实现结构引起的外行散射波的吸收.相比传统域分解法(DRM),方法省去了地震动输入所需的人工边界处等效节点力的计算而直接实现位移时程输入,且对不同属性介质可采用相同的计算式而无需修改.基于均匀半空间模型、盆地场地模型和地表局部凹陷模型采用整体方法解的对比验证了该方法的精度和有效性,同时讨论了子区域选取形状及多次透射公式阶数对模拟结果的影响.最后通过考虑盆地效应与否时地铁车站模型和地上框架结构模型在时域和频域内地震动反应的对比,验证了进行结构地震反应模拟时考虑局部场地影响的重要性. 展开更多
关键词 局部场地效应 结构地震反应 谱元法 有限元法 多次透射公式
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Fem-1同系物C通过调节ELAVL1/OPA1轴介导的线粒体融合促进乳腺癌进展的机制研究
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作者 樊艳 栗粟 +3 位作者 田天 杨萌萌 张璐璐 赵素贞 《中国肿瘤临床》 北大核心 2025年第10期487-493,共7页
目的:探讨Fem-1同系物C(Fem-1 homolog C,FEM1C)对乳腺癌的影响及其潜在调节机制。方法:通过qPCR检测乳腺癌组织和细胞系中FEM1C的表达水平。利用在线数据库预测FEM1C与ELAVL1蛋白的结合,并通过CoIP分析进行验证;利用starBase数据库预测... 目的:探讨Fem-1同系物C(Fem-1 homolog C,FEM1C)对乳腺癌的影响及其潜在调节机制。方法:通过qPCR检测乳腺癌组织和细胞系中FEM1C的表达水平。利用在线数据库预测FEM1C与ELAVL1蛋白的结合,并通过CoIP分析进行验证;利用starBase数据库预测ELAVL1与OPA1 mRNA的结合,并通过RIP分析进行验证。采用FEM1C的shRNA(sh-FEM1C)和过表达载体(FEM1C)、ELAVL1的过表达载体(ELAVL1)、OPA1的过表达载体(OPA1)转染乳腺癌细胞MDA-MB-231,或用100μM的DRP1抑制剂Mdivi-1或OPA1抑制剂MYLS22处理MDA-MB-231细胞。用sh-FEM1C慢病毒载体注射裸鼠构建异种移植瘤模型,监测肿瘤生长。结果:乳腺癌组织中FEM1C表达显著上调(P<0.01)。沉默FEM1C抑制MDA-MB-231细胞增殖,诱导细胞凋亡,促进自噬蛋白LC3Ⅱ/Ⅰ表达,抑制p62表达,上调线粒体PINK1蛋白水平,促进线粒体裂变蛋白DRP1和MIEF2表达,抑制融合蛋白OPA1和MFN1表达(P<0.01)。Mdivi-1处理抑制DRP1表达(P<0.01),对细胞活力无影响(P>0.05);MYLS22处理抑制OPA1表达,抵消FEM1C过表达对MDA-MB-231细胞的影响(P<0.01)。机制研究显示FEM1C与ELAVL1蛋白结合,并促进其表达(P<0.01);ELAVL1蛋白通过与OPA1 mRNA结合稳定其mRNA,上调OPA1蛋白水平(P<0.01)。过表达OPA1逆转了FEM1C沉默对乳腺癌细胞的影响(P<0.01)。体内结果显示,敲低FEM1C抑制体内肿瘤生长(P<0.01)。结论:FEM1C通过促进ELAVL1蛋白表达介导OPA1 mRNA稳定性,从而促进线粒体融合,抑制自噬,促进乳腺癌进展。 展开更多
关键词 乳腺癌 fem1C ELAVL1 OPA1 线粒体融合
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基于CFD-FEM双向流固耦合的大外飘型船舶砰击颤振响应不确定度研究
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作者 田光钰 王一雯 +1 位作者 张涵韬 吴卫国 《船舶力学》 北大核心 2025年第5期790-806,共17页
船舶非线性波浪载荷及结构高频颤振响应的准确评估与分析,是明确船舶结构安全性的前提,然而其数值仿真计算的可靠性及其不确定度分析则较少得到关注。本文开展分段龙骨梁水弹性模型CFD-FEM双向流固耦合仿真以及试验研究,对船模在波浪下... 船舶非线性波浪载荷及结构高频颤振响应的准确评估与分析,是明确船舶结构安全性的前提,然而其数值仿真计算的可靠性及其不确定度分析则较少得到关注。本文开展分段龙骨梁水弹性模型CFD-FEM双向流固耦合仿真以及试验研究,对船模在波浪下的高频响应进行仿真分析,并对仿真结果开展不确定度分析,评估仿真模型的可靠性。数值不确定度的计算结果,能够提供不同影响因素下结果是否收敛的判别依据和不确定度水平,并明确船艏的砰击压力、船模的运动和船体高低频波浪弯矩的不确定度水平。对比数值仿真与试验测试可知,CFD-FEM双向流固耦合仿真能够精确地捕捉到船舶结构高频响应,船舶在巡航工况下高频弯矩成分能够占到低频波浪弯矩的49.95%以上,砰击载荷诱发的舰船高频颤振动态响应不容忽视,此类舰船的结构设计及安全评估中须考虑其影响。本文可为船舶砰击颤振此类高频结构动态响应的不确定度分析提供参考。 展开更多
关键词 水弹性模型试验 砰击颤振 CFD-fem双向流固耦合 不确定度分析
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基于FEM-DEM耦合模型喷丸铝合金薄壁件尺寸稳定性仿真研究
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作者 汪帆星 汪舟 +6 位作者 曾思明 孙文革 段芳芳 葛久志 陈艳华 日孜完古丽 甘进 《表面技术》 北大核心 2025年第3期171-181,共11页
目的探究喷丸对铝合金薄壁件残余应力场的影响和应力释放后尺寸稳定性的影响。方法基于ABAQUS有限元软件建立多弹丸随机撞击薄壁件模型和喷丸薄壁件残余应力释放模型,并对模型预测7075铝合金薄壁件残余应力场的准确性进行验证。通过FEM-... 目的探究喷丸对铝合金薄壁件残余应力场的影响和应力释放后尺寸稳定性的影响。方法基于ABAQUS有限元软件建立多弹丸随机撞击薄壁件模型和喷丸薄壁件残余应力释放模型,并对模型预测7075铝合金薄壁件残余应力场的准确性进行验证。通过FEM-DEM耦合薄壁件喷丸+残余应力释放一体化模型,探究喷丸速度、喷丸直径、喷丸质量流工艺参数对7075铝合金薄壁件残余应力场和尺寸稳定性的影响规律。结果沿层深分布的残余应力试验值和仿真值最大误差在±16%以内,平均误差为6%,证实了模型良好的残余应力预测准确性。随弹丸速度增大,铝合金薄壁件表面残余应力和约束释放后的变形增大,速度为100m/s时最大残余压应力约为‒323 MPa。随弹丸直径增大,表面残余应力缓慢增大,残余压应力层深增加,弹丸直径为0.8 mm时残余压应力层深约为0.42 mm。随弹丸质量流增大,表面残余应力和约束释放后的形变也会小幅增加。增大弹丸质量流对增大最大残余应力和约束释放后的变形的增大效率小于增大弹丸速度和弹丸直径。根据仿真结果建立了喷丸效能评估参数和喷丸工艺参数相联系的预测模型。结论研究验证了多弹丸随机撞击薄壁件模型和喷丸薄壁件应力释放模型具有良好的预测喷丸薄壁件残余应力场和约束释放后变形的能力,为铝合金薄壁件喷丸强化工艺和成形工艺提供了一种数字化研究思路和实际数据支撑。 展开更多
关键词 铝合金薄壁件喷丸 fem-DEM耦合模型 喷丸成形 残余应力分布 尺寸稳定性
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Combing the Entropy Weight Method with Fuzzy Mathematics for Assessing the Quality and Post-Ripening Mechanism of High-Temperature Daqu during Storage
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作者 YANG Junlin YANG Shaojuan +8 位作者 WU Cheng YIN Yanshun YOU Xiaolong ZHAO Wenyu ZHU Anran WANG Jia HU Feng HU Jianfeng WANG Diqiang 《食品科学》 北大核心 2025年第9期48-62,共15页
This study investigated the physicochemical properties,enzyme activities,volatile flavor components,microbial communities,and sensory evaluation of high-temperature Daqu(HTD)during the maturation process,and a standar... This study investigated the physicochemical properties,enzyme activities,volatile flavor components,microbial communities,and sensory evaluation of high-temperature Daqu(HTD)during the maturation process,and a standard system was established for comprehensive quality evaluation of HTD.There were obvious changes in the physicochemical properties,enzyme activities,and volatile flavor components at different storage periods,which affected the sensory evaluation of HTD to a certain extent.The results of high-throughput sequencing revealed significant microbial diversity,and showed that the bacterial community changed significantly more than did the fungal community.During the storage process,the dominant bacterial genera were Kroppenstedtia and Thermoascus.The correlation between dominant microorganisms and quality indicators highlighted their role in HTD quality.Lactococcus,Candida,Pichia,Paecilomyces,and protease activity played a crucial role in the formation of isovaleraldehyde.Acidic protease activity had the greatest impact on the microbial community.Moisture promoted isobutyric acid generation.Furthermore,the comprehensive quality evaluation standard system was established by the entropy weight method combined with multi-factor fuzzy mathematics.Consequently,this study provides innovative insights for comprehensive quality evaluation of HTD during storage and establishes a groundwork for scientific and rational storage of HTD and quality control of sauce-flavor Baijiu. 展开更多
关键词 microbial community high-temperature Daqu comprehensive quality evaluation entropy weight method maturation process
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An improved efficient adaptive method for large-scale multiexplosives explosion simulations
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作者 Tao Li Cheng Wang Baojun Shi 《Defence Technology(防务技术)》 2025年第3期28-47,共20页
Shock wave caused by a sudden release of high-energy,such as explosion and blast,usually affects a significant range of areas.The utilization of a uniform fine mesh to capture sharp shock wave and to obtain precise re... Shock wave caused by a sudden release of high-energy,such as explosion and blast,usually affects a significant range of areas.The utilization of a uniform fine mesh to capture sharp shock wave and to obtain precise results is inefficient in terms of computational resource.This is particularly evident when large-scale fluid field simulations are conducted with significant differences in computational domain size.In this work,a variable-domain-size adaptive mesh enlargement(vAME)method is developed based on the proposed adaptive mesh enlargement(AME)method for modeling multi-explosives explosion problems.The vAME method reduces the division of numerous empty areas or unnecessary computational domains by adaptively suspending enlargement operation in one or two directions,rather than in all directions as in AME method.A series of numerical tests via AME and vAME with varying nonintegral enlargement ratios and different mesh numbers are simulated to verify the efficiency and order of accuracy.An estimate of speedup ratio is analyzed for further efficiency comparison.Several large-scale near-ground explosion experiments with single/multiple explosives are performed to analyze the shock wave superposition formed by the incident wave,reflected wave,and Mach wave.Additionally,the vAME method is employed to validate the accuracy,as well as to investigate the performance of the fluid field and shock wave propagation,considering explosive quantities ranging from 1 to 5 while maintaining a constant total mass.The results show a satisfactory correlation between the overpressure versus time curves for experiments and numerical simulations.The vAME method yields a competitive efficiency,increasing the computational speed to 3.0 and approximately 120,000 times in comparison to AME and the fully fine mesh method,respectively.It indicates that the vAME method reduces the computational cost with minimal impact on the results for such large-scale high-energy release problems with significant differences in computational domain size. 展开更多
关键词 Large-scale explosion Shock wave Adaptive method Fluid field simulations Efficient method
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An efficient and accurate numerical method for simulating close-range blast loads of cylindrical charges based on neural network
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作者 Ting Liu Changhai Chen +2 位作者 Han Li Yaowen Yu Yuansheng Cheng 《Defence Technology(防务技术)》 2025年第2期257-271,共15页
To address the problems of low accuracy by the CONWEP model and poor efficiency by the Coupled Eulerian-Lagrangian(CEL)method in predicting close-range air blast loads of cylindrical charges,a neural network-based sim... To address the problems of low accuracy by the CONWEP model and poor efficiency by the Coupled Eulerian-Lagrangian(CEL)method in predicting close-range air blast loads of cylindrical charges,a neural network-based simulation(NNS)method with higher accuracy and better efficiency was proposed.The NNS method consisted of three main steps.First,the parameters of blast loads,including the peak pressures and impulses of cylindrical charges with different aspect ratios(L/D)at different stand-off distances and incident angles were obtained by two-dimensional numerical simulations.Subsequently,incident shape factors of cylindrical charges with arbitrary aspect ratios were predicted by a neural network.Finally,reflected shape factors were derived and implemented into the subroutine of the ABAQUS code to modify the CONWEP model,including modifications of impulse and overpressure.The reliability of the proposed NNS method was verified by related experimental results.Remarkable accuracy improvement was acquired by the proposed NNS method compared with the unmodified CONWEP model.Moreover,huge efficiency superiority was obtained by the proposed NNS method compared with the CEL method.The proposed NNS method showed good accuracy when the scaled distance was greater than 0.2 m/kg^(1/3).It should be noted that there is no need to generate a new dataset again since the blast loads satisfy the similarity law,and the proposed NNS method can be directly used to simulate the blast loads generated by different cylindrical charges.The proposed NNS method with high efficiency and accuracy can be used as an effective method to analyze the dynamic response of structures under blast loads,and it has significant application prospects in designing protective structures. 展开更多
关键词 Close-range air blast load Cylindrical charge Numerical method Neural network CEL method CONWEP model
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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence Higher-order method Extended Newton iteration Computational efficiency
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Design and optimization of the RGB beam combiner in micro display using entropy weight-TOPSIS method
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作者 ZHENG Yu ZHAO Yan-bing +4 位作者 ZOU Xin-jie WANG Ji-rong JIANG Xiang LIU Jian-zhe DUAN Ji-an 《Journal of Central South University》 2025年第2期483-494,共12页
Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extens... Red-green-blue(RGB)beam combiners are widely used in scenarios such as augmented reality/virtual reality(AR/VR),laser projection,biochemical detection,and other fields.Optical waveguide combiners have attracted extensive attention due to their advantages of small size,high multiplexing efficiency,convenient mass production,and low cost.An RGB beam combiner based on directional couplers is designed,with a core-cladding relative refractive index difference of 0.75%.The RGB beam combiner is optimized from the perspective of parameter optimization.Using the beam propagation method(BPM),the relationship between the performance of the RGB beam combiner and individual parameters is studied,achieving preliminary optimization of the device’s performance.The key parameters of the RGB beam combiner are optimized using the entropy weight-technique for order preference by similarity to an ideal solution TOPSIS method,establishing the optimal parameter scheme and further improving the device’s performance indicators.The results show that after optimization,the multiplexing efficiencies for red,green,and blue lights,as well as the average multiplexing efficiency,reached 99.17%,99.76%,96.63%and 98.52%,respectively.The size of the RGB beam combiner is 4.768 mm×0.062 mm. 展开更多
关键词 optical waveguide combiners red-green-blue beam combiner beam propagation method entropy weight TOPSIS method multiplexing efficiency
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Design method of high prestressed support for shallow-buried large-span caverns
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作者 JIANG Bei WEI Hua-yong +3 位作者 WANG Qi WANG Ming-zi YIN Chen ZHANG Yan-bo 《Journal of Central South University》 2025年第3期1099-1116,共18页
The surrounding rock is prone to large-scale loosening and failure after the excavation of shallow large-span caverns because of the thin overlying strata and large cross-section span.The rational design of bolt suppo... The surrounding rock is prone to large-scale loosening and failure after the excavation of shallow large-span caverns because of the thin overlying strata and large cross-section span.The rational design of bolt support is very important to the safety control of surrounding rock as a common support means.The control mechanism and design method of bolt support for shallow-buried large-span caverns is carried out.The calculation method of bolt prestress and length based on arched failure and collapsed failure mode is established.The influence mechanism of different influencing factors on the bolt prestress and length is clarified.At the same time,the constant resistance energy-absorbing bolt with high strength and high toughness is developed,and the comparative test of mechanical properties is carried out.On this basis,the design method of high prestressed bolt support for shallow-buried large-span caverns is put forward,and the field test is carried out in Qingdao metro station in China.The monitoring results show that the maximum roof settlement is 6.8 mm after the new design method is adopted,and the effective control of the shallow-buried large-span caverns is realized.The research results can provide theoretical and technical support for the safety control of shallow-buried large-span caverns. 展开更多
关键词 Hoek-Brown strength criterion shallow-buried large-span caverns limit analysis upper bound method high prestress bolt support design method
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Preparation of Si/NC/CL-20 Composite Explosives by Electrostatic Spraying Method and Its Performance Characterization
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作者 DUAN Yi-long WANG Ling-xin +3 位作者 DONG Jun LI Xiu-long HE Xi JI Wei 《火炸药学报》 北大核心 2025年第5期424-429,I0001,共7页
To study the influence of silicon(Si)on 2,4,6,8,10,12-hexanitro-2,4,6,8,10,12-hexaazaisowurtzitane(CL-20),NC/CL-20 composite explosives and Si/NC/CL-20 composite explosives were prepared by the electrostatic spraying ... To study the influence of silicon(Si)on 2,4,6,8,10,12-hexanitro-2,4,6,8,10,12-hexaazaisowurtzitane(CL-20),NC/CL-20 composite explosives and Si/NC/CL-20 composite explosives were prepared by the electrostatic spraying method.The morphology,structure and thermal decomposition properties of the samples were analyzed using scanning electron microscopy(SEM),X-ray energy spectroscopy(EDS),infrared spectroscopy(FT-IR),and simultaneous thermal analyzer(TG-DSC).Additionally,the combustion process of the samples was tested using a high-speed camera.The results show that the addition of nano-Si contributes to the formation of composite explosives with regular morphology and smaller particle size.The Si/NC/CL-20 composite explosive has better and more uniform sphericity,with an average particle size of 73.4 nm,compared to the NC/CL-20 composite explosive.The Si/NC/CL-20 composite explosive which produced by the electrostatic spraying method,achieves physically uniform distribution of the components including NC,CL-20,Si.The addition of Si promotes the thermal decomposition of CL-20.In comparison to the NC/CL-20 composite explosive,the activation energy of the Si/NC/CL-20 composite explosive decreases by 16.78 kJ/mol,and the self-accelerated decomposition temperature and the critical temperature of thermal explosion decreases by 3.12 K and 2.61 K,respectively.Furthermore,Si/NC/CL-20 composite explosive has shorter ignition delay time and faster combustion rate compared to the NC/CL-20 composite explosive,which shows that Si can improve the combustion performance of CL-20. 展开更多
关键词 applied chemistry electrostatic spraying method SI Si/NC/CL-20 thermal decomposition performance combustion performance
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A Fast Algorithm for Solving the Poisson Equations Based on the Discrete Cosine/Sine Transforms in the Finite Difference Method
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作者 LI Congcong WANG Danxia +1 位作者 JIA Hongen ZHANG Chenhui 《应用数学》 北大核心 2025年第3期651-669,共19页
To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical c... To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical computation of such models.This efficient solver employs algorithms based on discrete cosine transformations(DCT)or discrete sine transformations(DST)and is not restricted by any spatio-temporal schemes.Our proposed methodology is appropriate for a variety of phase-field models and is especially efficient when combined with flow field systems.Meanwhile,this study has conducted an extensive numerical comparison and found that employing DCT and DST techniques not only yields results comparable to those obtained via the Multigrid(MG)method,a conventional approach used in the resolution of the Poisson equations,but also enhances computational efficiency by over 90%. 展开更多
关键词 Phase-field model Finite difference method Fast Poisson solver(DC-T/DST) Explicit invariant energy quadratization Unconditional energy stability
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Size-dependent heat conduction of thermal cellular structures: A surface-enriched multiscale method
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作者 Xiaofeng Xu Junfeng Li +2 位作者 Xuanhao Wu Ling Ling Li Li 《Defence Technology(防务技术)》 2025年第7期50-67,共18页
This paper examined how microstructure influences the homogenized thermal conductivity of cellular structures and revealed a surface-induced size-dependent effect.This effect is linked to the porous microstructural fe... This paper examined how microstructure influences the homogenized thermal conductivity of cellular structures and revealed a surface-induced size-dependent effect.This effect is linked to the porous microstructural features of cellular structures,which stems from the degree of porosity and the distri-bution of the pores.Unlike the phonon-driven surface effect at the nanoscale,the macro-scale surface mechanism in thermal cellular structures is found to be the microstructure-induced changes in the heat conduction path based on fully resolved 3D numerical simulations.The surface region is determined by the microstructure,characterized by the intrinsic length.With the coupling between extrinsic and intrinsic length scales under the surface mechanism,a surface-enriched multiscale method was devel-oped to accurately capture the complex size-dependent thermal conductivity.The principle of scale separation required by classical multiscale methods is not necessary to be satisfied by the proposed multiscale method.The significant potential of the surface-enriched multiscale method was demon-strated through simulations of the effective thermal conductivity of a thin-walled metamaterial struc-ture.The surface-enriched multiscale method offers higher accuracy compared with the classical multiscale method and superior efficiency over high-fidelity finite element methods. 展开更多
关键词 Thermal conductivity Surface-enriched multiscale method METAMATERIAL Surface effect Multi-scale modeling
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A high output power 340 GHz balanced frequency doubler designed based on linear optimization method
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作者 LIU Zhi-Cheng ZHOU Jing-Tao +5 位作者 MENG Jin WEI Hao-Miao YANG Cheng-Yue SU Yong-Bo JIN Zhi JIA Rui 《红外与毫米波学报》 北大核心 2025年第2期184-191,共8页
In this paper,a linear optimization method(LOM)for the design of terahertz circuits is presented,aimed at enhancing the simulation efficacy and reducing the time of the circuit design workflow.This method enables the ... In this paper,a linear optimization method(LOM)for the design of terahertz circuits is presented,aimed at enhancing the simulation efficacy and reducing the time of the circuit design workflow.This method enables the rapid determination of optimal embedding impedance for diodes across a specific bandwidth to achieve maximum efficiency through harmonic balance simulations.By optimizing the linear matching circuit with the optimal embedding impedance,the method effectively segregates the simulation of the linear segments from the nonlinear segments in the frequency multiplier circuit,substantially improving the speed of simulations.The design of on-chip linear matching circuits adopts a modular circuit design strategy,incorporating fixed load resistors to simplify the matching challenge.Utilizing this approach,a 340 GHz frequency doubler was developed and measured.The results demonstrate that,across a bandwidth of 330 GHz to 342 GHz,the efficiency of the doubler remains above 10%,with an input power ranging from 98 mW to 141mW and an output power exceeding 13 mW.Notably,at an input power of 141 mW,a peak output power of 21.8 mW was achieved at 334 GHz,corresponding to an efficiency of 15.8%. 展开更多
关键词 linear optimization method(LOM) three-dimensional electromagnetic model(3D-EM) Harmonic impedance optimization Schottky planar diode Terahertz frequency doubler
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