Geometric integration methods for general nonlinear dynamic equation based on Magnus and Fer expansions

Ithasbeenknownforalongtimethatthesolu tionofthefollowingdifferentialequation :U· =A(t)U ,　U(t0 ) =I ,(1)whereA (t)standsforasufficientlysmoothn×nmatrixorlinearoperator ,canlocallybewrittenintheform[1]U(t ,t0 ) =eΩ(t,t0 ) ,(2 )whereΩisobtainedasaninfiniteseriesΩ(t ,t0 ) =∑∞k =1Ωk(t,t0 ) . (3)Eqs .(2 )and (3)constitutetheso calledMagnusex pansionofthesolutionofthedifferentialequation(1) .EachtermΩkintheseries (3)isamultiplein tegralofcombinationsofnestedcommutators ,anditcanbeobtain…     

Frequency invariant beamforming via jointly optimizing spatial and frequency responses

Inbroadbandarraysignalprocessing ,thespec tralcharacteristicsofthetargetaremostlyusedintargetdetectionandtargetclassification .Sincetheradiatednoiseofthetargetgenerallyspreadsoverawidefrequencyband ,distortioninthepowerspec trummightappearifthebeamformerresponsevarieswithfrequency .Theso calledfrequencyinvariantbeamformer (FIB)techniqueisrequiredasaremedy .AnFIBisabeamformerinwhichtheresponseisap proximatelyconstantoversomedesignbandwidth .InRef .[1],anapproachtodesigningbroadbandbeamformer…     

A mathematical model for solid liquid and mass transfer coupling and numerical simulation for hydraulic fracture in rock salt

Thehydraulicfracturingtechniqueiswidelyused intheoilengineering,naturalgasexploiting,under groundheatextractingandothermineralresources mining,etc.withwelldevelopedhydraulicfracture modelsforordinaryrocks[1—3].Inthefieldofsolu tionminingofsaltdeposit,thistechniqueisusedto producefracturealongtheplanelayerofthedeposit,thustoconnecttheinjectionandtargetwells[4,5].However,duetothespecialphysicalandmechanical characteristicsofrocksalt,executinghydraulicfrac tureinrocksaltdepositisdifferentfromtha…     

Robust H_∞ Control of Robot Manipulator

１ＩｎｔｒｏｄｕｃｔｉｏｎＡｓｗｅｋｎｏｗ，ｂｅｃａｕｓｅｏｆｅｎｖｉｒｏｎｍｅｎｔａｌｃｏｎｄｉｔｉｏｎｓａｎｄｓｐｅｃｉａｌｄｅｓｉｇｎｄｅｍａｎｄｓ，ｒｏ－ｂｕｓｔｎｅｓｓｆｏｒｒｏｂｏｔｃｏｎｔｒｏｌｂｅｃｏｍｅｍｏｒｅａｎｄｍｏｒｅｉｍｐｏ...     

三聚氰胺-环三磷腈阻燃剂的制备及其应用

磷腈化合物是一类无卤、对环境友好且具有生物相容性的低毒性阻燃剂,但大部分磷腈衍生物是油溶性的,需要通过熔融共混、辊轧等方式才能制成阻燃纤维、塑料,操作工艺复杂,无法直接用于天然纤维,因此大大限制了其应用范围.该文以六羟甲基三聚氰胺和六氯环三磷腈为原料,通过亲核取代、醚化两步法合成了一种水溶性、醇溶性无卤磷腈阻燃剂.用红外光谱(FT-IR)、核磁共振谱(1H NMR、13C NMR、31P NMR)和电喷雾电离质谱(ESIMS)等进行了结构表征,证明其为无氯、P螺原子链接的目标化合物.将该阻燃剂用95%乙醇溶解,配成4种浓度梯度(5%、10%、15%、20%)的阻燃溶液,浸泡布料(医用纯棉纱布、化纤窗帘布)获得阻燃布,用热重分析仪(TGA)在氮气氛下对阻燃布料的热性能进行了分析,结果表明,该阻燃剂热稳定性较高,残碳率高达41.8%.阻燃布料点燃后最高残碳率达44.2%,极限氧指数(LOI)比未阻燃前提高了29.6%,对织物有较好的阻燃性能;仅含阻燃剂质量分数为3.0%的窗帘布点燃后不再有熔滴出现,有较好的抗熔滴效果.     

Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media

Dryingprocessinporousmediawidelyexistsin manyfieldssuchasenergy,chemistry,biology,medicineandarchitectonics.Researchesintothiskind ofphenomenonaretraditionallybasedonFourierlaw andFicklaw.Thesetwolawsincludethehypotheses ofinfinitepropagationofheatandmassdisturbance,respectively.Suchanapproximateapproachisprecise enoughfortheconventionalunsteadyheatandmass transfer.However,forhighintensiveandrapiddry ingprocess,itcouldleadtoerrorstosomeextent.Therefore,itisnecessarytoconsiderthenon linearrel…     

固—液手性相转移催化烷基化——Ⅰ合成(-)—2—甲酰乙氧基—2—壬烷基环戊酮

在相转移催化条件下,以己二酸为原料合成了(一) 2 甲酰乙氧基 2 壬烷基环戊酮。     

SUMO-1在ApoE -/一小鼠PM2.、暴露中调控血管HIF-1a/VEGF信号通路的研究

以气管滴注方法研究了ApoE-/一小鼠经PM2.5暴露后，其主动脉弓中SUMO-1, HIF- la、血管内皮生长因子(VEGF)表达变化规律及HIF- la的SUMO化修饰情况.实验结果显示:PM2.5暴露后，小鼠主动脉SUMO-1,HIF-la,VEGF的表达上调;PM2.5暴露诱导了SUMO-1对HIF- la的SUMO化修饰;低氧条件下SUMO-1敲低导致HIF-la表达的下调结果提示PM2.5暴露通过上调细胞中SUMO-1的表达，稳定或者上调HIF- la的表达，进而影响血管内皮生长因子(VEGF)的表达，造成动脉粥样硬化斑块的不稳定.     

全局性N元F-强混沌系统的一个判据

设(X,f)是一个动力系统，其中X是一个含至少2个点的完备度量空间，f是X上的一个连续自映射对给定的Furstenberg族下与整数N》2，将升混沌推广到N元升混沌为此，对于X的2个非空子集A,B，借助集对(A,B)的升往复点来引入升攀援串的概念，进而定义N元升混沌以及讨论N元升混沌的一些性质最后以Furstenberg族理论为主要工具，给出一个动力系统是全局性N元多二强混沌的一个判据，并通过例子来阐述它在动力系统中的应用     

掺镱光学频率梳噪声抑制与载波包络相位锁定

本文研究了泵浦源功率稳定性、环境温度和机械振动等因素对掺镱光纤光学频率梳自由运转下的载波包络偏移相位的影响,基于锁相环伺服反馈系统实现了光学频率梳的载波包络相位锁定.实验中采用重复频率为60 MHz的掺镱光纤飞秒激光器,经过两级功率放大、光谱展宽和f-2f拍频探测系统,获得了信噪比为25 dB的拍频信号.在此基础上,由伺服反馈系统对载波包络相位信号进行控制,锁定后的载波包络相位信号的频率抖动标准方差为283 mHz(计数时间为0.5 h).