In this paper,we review computational approaches to optimization problems of inhomogeneous rods and plates.We consider both the optimization of eigenvalues and the localization of eigenfunctions.These problems are mot...In this paper,we review computational approaches to optimization problems of inhomogeneous rods and plates.We consider both the optimization of eigenvalues and the localization of eigenfunctions.These problems are motivated by physical problems including the determination of the extremum of the fundamental vibration frequency and the localization of the vibration displacement.We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems under different boundary conditions with different densities given.展开更多
Since ancient times,lightning disasters have undoubtedly been an unstoppable threat to humanity.During thunderstorms,lightning often damages objects on the ground,such as buildings and structures.Since Franklin invent...Since ancient times,lightning disasters have undoubtedly been an unstoppable threat to humanity.During thunderstorms,lightning often damages objects on the ground,such as buildings and structures.Since Franklin invented the lightning rod in 1752,lightning rods have been used worldwide to prevent direct lightning strikes in various fields such as high-voltage power transmission lines,outdoor chemical sites,highways,land and sea wind farms,and forest lightning fire protection.It has been proven that lightning accidents still occur frequently in places where lightning rods are installed and the protective angle method is used.In order to further study the protective effect of lightning rods and identify the shortcomings of lightning rod protection,negative lightning strikes are taken as the research object,to analyze the limitations of lightning rods in preventing direct lightning strikes from the working principle of lightning rods.展开更多
The anisotropic absorption and emission from semiconductor CdSe/CdS quantum rods(QRs)provide extra benefits among other photoluminescence nanocrystals.Using photo-induced alignment technique,the QRs can be oriented in...The anisotropic absorption and emission from semiconductor CdSe/CdS quantum rods(QRs)provide extra benefits among other photoluminescence nanocrystals.Using photo-induced alignment technique,the QRs can be oriented in liquid crystal polymer matrix at a large scale.In this article,a 2D Dammann grating pattern,within“SKL”characters domains aligned QRs in composite film,was fabricated by multi-step photo exposure using several photo masks,and a continuous geometric lens profile pattern aligned QRs was realized by the single step polarization converting holographic irradiation method.Both polarized optical microscope and fluorescence microscope are employed to determine the liquid crystal director profiles and QRs anisotropic excitation properties.We have been able to orient the QRs in fine binary and continuous patterns that confirms the strong quantum rod aligning ability of the proposed method.Thus,the proposed approach paves a way for photoinduced flexible QRs alignments to provide a highly specific and difficult-to-replicate security application at a large scale.展开更多
作为特高压GIS断路器中连接触头与操作机构的关键部件,绝缘拉杆在操作过程中需要承受外载荷作用。为掌握绝缘拉杆动态受力特性、材料力学性能,文中通过在特高压GIS断路器中布置力传感器测得其主绝缘拉杆操作过程中动态受力情况,根据测...作为特高压GIS断路器中连接触头与操作机构的关键部件,绝缘拉杆在操作过程中需要承受外载荷作用。为掌握绝缘拉杆动态受力特性、材料力学性能,文中通过在特高压GIS断路器中布置力传感器测得其主绝缘拉杆操作过程中动态受力情况,根据测试结果进行了拉杆材料管型试样的压缩试验,并利用仿真分析了不同长径比拉杆的压缩屈曲特性。试验结果表明,操作过程中主绝缘拉杆受交变冲击载荷作用,操作机构对绝缘拉杆所施加压力峰值与拉力峰值相差不大,且二者均达到110 k N以上,绝缘拉杆材料的压缩特性应得到关注。压缩试验结果表明长度和内、外径将会直接影响管型绝缘拉杆材料压缩性能,大长径比绝缘拉杆更容易在压缩载荷下出现塑性变形和屈曲失稳现象,所能承受的最大压缩载荷更小。基于材料压缩试验,文中通过仿真计算建立了管型绝缘拉杆临界屈曲载荷与长度之间的近似关系式,并提出通过管型试样压缩试验得到原尺寸拉杆临界屈曲载荷的方法。文中研究成果可为特高压GIS绝缘拉杆材料试验、设计制造提供参考。展开更多
基金supported by the DMS-1853701supported in part by the DMS-2208373.
文摘In this paper,we review computational approaches to optimization problems of inhomogeneous rods and plates.We consider both the optimization of eigenvalues and the localization of eigenfunctions.These problems are motivated by physical problems including the determination of the extremum of the fundamental vibration frequency and the localization of the vibration displacement.We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems under different boundary conditions with different densities given.
基金Supported by Lightning Multi-pulse Intelligent Monitoring System Optimization Technology Project of Guangdong Yuedian Dianbai Hot Water Wind Farm(SFC/DBW-Z-FW-23-006).
文摘Since ancient times,lightning disasters have undoubtedly been an unstoppable threat to humanity.During thunderstorms,lightning often damages objects on the ground,such as buildings and structures.Since Franklin invented the lightning rod in 1752,lightning rods have been used worldwide to prevent direct lightning strikes in various fields such as high-voltage power transmission lines,outdoor chemical sites,highways,land and sea wind farms,and forest lightning fire protection.It has been proven that lightning accidents still occur frequently in places where lightning rods are installed and the protective angle method is used.In order to further study the protective effect of lightning rods and identify the shortcomings of lightning rod protection,negative lightning strikes are taken as the research object,to analyze the limitations of lightning rods in preventing direct lightning strikes from the working principle of lightning rods.
基金supported by the Guangdong Major Project of Basic and Applied Basic Research(No.2020B0301030009)the National Natural Science Foundation of China(Nos.62005180,61935013)+2 种基金the Zhejiang Lab Open Research Project(No.K2022MG0AB01)RGC of Hong Kong S.A.R.(No.26202019)the State Key Laboratory of Advanced Displays and Optoelectronics Technologies(HKUST)(No.ITC-PSKL12EG02)。
文摘The anisotropic absorption and emission from semiconductor CdSe/CdS quantum rods(QRs)provide extra benefits among other photoluminescence nanocrystals.Using photo-induced alignment technique,the QRs can be oriented in liquid crystal polymer matrix at a large scale.In this article,a 2D Dammann grating pattern,within“SKL”characters domains aligned QRs in composite film,was fabricated by multi-step photo exposure using several photo masks,and a continuous geometric lens profile pattern aligned QRs was realized by the single step polarization converting holographic irradiation method.Both polarized optical microscope and fluorescence microscope are employed to determine the liquid crystal director profiles and QRs anisotropic excitation properties.We have been able to orient the QRs in fine binary and continuous patterns that confirms the strong quantum rod aligning ability of the proposed method.Thus,the proposed approach paves a way for photoinduced flexible QRs alignments to provide a highly specific and difficult-to-replicate security application at a large scale.
文摘作为特高压GIS断路器中连接触头与操作机构的关键部件,绝缘拉杆在操作过程中需要承受外载荷作用。为掌握绝缘拉杆动态受力特性、材料力学性能,文中通过在特高压GIS断路器中布置力传感器测得其主绝缘拉杆操作过程中动态受力情况,根据测试结果进行了拉杆材料管型试样的压缩试验,并利用仿真分析了不同长径比拉杆的压缩屈曲特性。试验结果表明,操作过程中主绝缘拉杆受交变冲击载荷作用,操作机构对绝缘拉杆所施加压力峰值与拉力峰值相差不大,且二者均达到110 k N以上,绝缘拉杆材料的压缩特性应得到关注。压缩试验结果表明长度和内、外径将会直接影响管型绝缘拉杆材料压缩性能,大长径比绝缘拉杆更容易在压缩载荷下出现塑性变形和屈曲失稳现象,所能承受的最大压缩载荷更小。基于材料压缩试验,文中通过仿真计算建立了管型绝缘拉杆临界屈曲载荷与长度之间的近似关系式,并提出通过管型试样压缩试验得到原尺寸拉杆临界屈曲载荷的方法。文中研究成果可为特高压GIS绝缘拉杆材料试验、设计制造提供参考。
