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Design of a Broadband E-Plane Power Combiner Based on Quarter-Arc Bent Rectangular Waveguides for Sub-THz and THz Wave
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作者 唐效频 杨梓强 +1 位作者 史宗君 兰峰 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第8期135-138,共4页
A method of designing an E-plane power combiner composed of two quarter-arc bent rectangular waveguides is proposed for sub-THz and THz waves. The quarter-arc bent-waveguide power combiner has a simple geometry which ... A method of designing an E-plane power combiner composed of two quarter-arc bent rectangular waveguides is proposed for sub-THz and THz waves. The quarter-arc bent-waveguide power combiner has a simple geometry which is easy to design and fabricate. By HFSS codes, the physical mechanism and performance of the power combiner are analyzed, and the relationship between the output characteristics and the structure/operating parameters is given. Simulation results show that our power combiner is suitable for the combining of two equalpower and reversed-phase signals, the bandwidth of the combiner is wide and can be adjusted by the radius of the quarter-arc, and the isolation performance of the combiner can be improved by adding thin film resistive septa at the junction of two quarter-arc bent waveguides. Meanwhile, an approximate method based on the analytic geometrical analysis is given to design this power combiner for different frequency bands. 展开更多
关键词 of in is THZ Design of a Broadband E-Plane Power Combiner Based on Quarter-Arc Bent rectangular waveguides for Sub-THz and THz wave for on
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Effects of geometrical parameters on wrinkling of thin-walled rectangular aluminum alloy wave-guide tubes in rotary-draw bending 被引量:10
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作者 Tian Shan Liu Yuli Yang He 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2013年第1期242-248,共7页
Inner flange and side wrinkling often occur in rotary-draw bending process of rectangular aluminum alloy wave-guide tubes, and the distribution and magnitude of wrinkling is related to geometrical parameters of the tu... Inner flange and side wrinkling often occur in rotary-draw bending process of rectangular aluminum alloy wave-guide tubes, and the distribution and magnitude of wrinkling is related to geometrical parameters of the tubes. In order to study the effects of geometrical parameters on wrinkling of rectangular wave-guide tubes, a 3D-FE model for rotary-draw bending processes of thin-walled rectangular aluminum alloy wave-guide tubes was built based on the platform of ABA-QUS/Explicit, and its reliability was validated by experiments. Simulation and analysis of the influence laws of geometrical parameters on the wave heights of inner flange and side wrinkling were then carried out. The results show that inner flange wrinkling is the main wrinkling way to rectan- gular wave-guide tubes in rotary-draw bending processes, but side wrinkling cannot be neglected because side wrinkling is 2/3 of inner flange wrinkling when b and h are smaller. Inner flange and side wrinkling increase with increasing b and h; the influence of b on side wrinkling is larger than that of h, while both b and h affect inner flange wrinkling greatly. Inner flange and side wrinkling decrease with increasing R/h; the influence of h on inner flange and side wrinkling is larger than that of R. 展开更多
关键词 Geometrical parameters Inner flange wrinkling Side wrinkling Simulation Thin-walled rectangular wave-guide tube Rotary-draw bending
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Stress Uniformity Process of Specimens in SHPB Test Under Different Loading Conditions of Rectangular and Half-Sine Input Waves 被引量:2
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作者 洪亮 李夕兵 +3 位作者 刘希灵 周子龙 叶洲元 尹土兵 《Transactions of Tianjin University》 EI CAS 2008年第6期450-456,共7页
Based on the characteristics of 1D waves,the stress uniformity process in specimens under different loading conditions of rectangular and half-sine input waves was analyzed in split Hopkinson pressure bar (SHPB) test.... Based on the characteristics of 1D waves,the stress uniformity process in specimens under different loading conditions of rectangular and half-sine input waves was analyzed in split Hopkinson pressure bar (SHPB) test.The results show that the times of an elastic wave propa-gating from one end to the other in a specimen to attain stress equilibrium,is related to input wave-forms and relative mechanical impedance between the specimen and the input/output bars.Here-into,with the increae of the relative impedance,the times decreases under rectangular input waves loading,while it increases under half-sine input wave loading.The dimensionless stress value of specimen corresponding to the status of stress equilibrium increases with the increase of the rela-tive mechanical impedance.However,the dimensionless stress value under half-sine input wave loading is significantly lower than the value under rectangular input wave loading for specimen with low mechanical impedance,and the relative differentia of the dimensionless stress values under two loading conditions decreases with the increase of the relative mechanical impedance.In gen-eral,the forced state of specimen with relatively low mechanical impedance under half-sine input wave loading is evidently superior to the state under rectangular input wave loading in SHPB test,and the advantages of forced state under half-sine input wave loading turns weak with the increase of the relative mechanical impedance. 展开更多
关键词 split Hopkinson pressure bars stress uniformity dimensionless stress half-sine input wave rectangular input wave
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THEORY AND EXPERIMENTAL INVESTIGAION OF FLEXURAL WAVE PROPAGATION IN THIN RECTANGULAR PLATE WITH PERIODIC STRUCTURE 被引量:4
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作者 Wen Jihong Yu Dianlong Wang Gang Zhao Hongang Liu Yaozong 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第3期385-388,共4页
With the idea of the phononic crystals, a thin rectangular plate with two-dimensional periodic structure is designed. Flexural wave band structures of such a plate with infinite structure are calculated with the plane... With the idea of the phononic crystals, a thin rectangular plate with two-dimensional periodic structure is designed. Flexural wave band structures of such a plate with infinite structure are calculated with the plane-wave expansion (PWE) method, and directional band gaps are found in the ΓX direction. The acceleration frequency response in the ΓX direction of such a plate with finite structure is simulated with the finite element method and verified with a vibration experiment. The frequency ranges of sharp drops in the calculated and measured acceleration frequency response curves are in basic agreement with those in the band structures. Thin plate is a widely used component in the engineering structures. The existence of band gaps in such periodic structures gives a new idea in vibration control of thin plates. 展开更多
关键词 Phononic crystals Flexural wave band gaps Thin rectangular plate
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EXACT ANALYSIS OF WAVE PROPAGATION IN AN INFINITE RECTANGULAR BEAM 被引量:2
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作者 孙卫明 杨光松 李东旭 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第7期768-778,共11页
The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam.Initially,by solving the three-dimensional elastodynamic equations a general analytic solution was deri... The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam.Initially,by solving the three-dimensional elastodynamic equations a general analytic solution was derived for wave motion within the beam.And then for the beam with stress-free boundaries,the propagation characteristics of elastic waves were presented.This accurate wave propagation model lays a solid foundation of simultaneous control of coupled waves in the beam. 展开更多
关键词 infinite rectangular beam wave propagation exact analysis Fourier series traveling wave active control
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Approximate Calculation of Oblique Wave Transmission from A Single-Row of Rectangular Piles 被引量:1
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作者 朱大同 《China Ocean Engineering》 SCIE EI 2012年第2期195-204,共10页
Transmissions of oblique incident wave from a row of rectangular piles are analyzed theoretically. The incident angle of plane wave is taken as g = 90° , there then is the transmission coefficient |T| = 1 (Thi... Transmissions of oblique incident wave from a row of rectangular piles are analyzed theoretically. The incident angle of plane wave is taken as g = 90° , there then is the transmission coefficient |T| = 1 (This is a paradox). In this paper, by means of the approximate relation between the transmitted and incident wave angle found from the shape of a slit, the paradoxical phenomenon is removed. On the basis of the continuality of the pressure and flux and the analysis of flow resistance at the row of rectangular piles, formulas of reflection and transmission coefficients are obtained. The transmission and reflection coefficients predicted by the present model quite agree with those of laboratory experiments in previous references 展开更多
关键词 plane wave row of rectangular piles incident wave angle transmitted wave angle wave transmission coefficients
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Small-signal analysis of a rectangular helix structure traveling-wave-tube 被引量:1
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作者 付成芳 魏彦玉 +2 位作者 段兆云 王文祥 宫玉彬 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第7期2749-2756,共8页
This paper investigates the properties of traveling wave-beam interaction in a rectangular helix traveling-wave-tube (TWT) for a solid sheet electron beam. The "hot" dispersion equation is obtained by means of the... This paper investigates the properties of traveling wave-beam interaction in a rectangular helix traveling-wave-tube (TWT) for a solid sheet electron beam. The "hot" dispersion equation is obtained by means of the self-consistent field theory. The small signal analysis,which includes the effects of the beam parameters and slow-wave structure (SWS) parameters,is carried out by theoretical computation. The numerical results show that the bandwidth and the small-signal gain of the rectangular helix TWT increase as the beam current increases;and the beam voltage not obviously influences the small signal gain. Among different rectangular helix structures,the small-signal gain increases as the width of the rectangular helix SWS increases,however,the bandwidth decreases whether structure parameters a and L or ψ and L are fixed or not.In addition,a comparison of the small-signal gain of this structure with a conventional round helix is made.The presented analysis will be useful for the design of the TWT with a rectangular helix circuit. 展开更多
关键词 rectangular helix small-signal gain slow-wave structure compact TWT
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Study of a rectangular coupled cavity extended interaction oscillator in sub-terahertz waves 被引量:6
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作者 张开春 吴振华 刘盛纲 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第9期3402-3406,共5页
An extended interaction oscillator (EIO) generating 120 GHz wave in sub-terahertz waves is studied by using the three-dimensional electromagnetic simulation software CST and PIC codes. A rectangular reentrant couple... An extended interaction oscillator (EIO) generating 120 GHz wave in sub-terahertz waves is studied by using the three-dimensional electromagnetic simulation software CST and PIC codes. A rectangular reentrant coupled-cavity is proposed as the slow-wave structure of EIO. By CST, the circuit parameters including frequency-phase dispersion, interaction impedance and characteristic impedance are simulated and calculated. The operation mode of EIO is chosen very close to the point where βL = 2π with corresponding frequency 120 GHz, the beam voltage 12 kV and the dimensions of the cavity with the period 0.5mm, the height 3mm and the width 1.4mm. Simulation results of beam-wave interaction by PIC show that the exciting frequency is 120.85 GHz and output peak power 465 W with 12-period coupled-cavity with the perveance 0.17 μP. Simulation results indicate that the EIO has very wide range of the operation voltage. 展开更多
关键词 extended interaction oscillator (EIO) rectangular coupled-cavity sub-terahertz (Sub- THz) waves dispersion relation
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Interaction of Oblique Waves and A Rectangular Structure with An Opening Near A Vertical Wall 被引量:1
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作者 ZHANG Hong-sheng ZHENG Bi-fang YANG Xiao-yan 《China Ocean Engineering》 SCIE EI CSCD 2017年第2期220-229,共10页
With the method of separation of variables and the eigenfunction expansion employed, an analytical solution is presented for the radiation and diffraction of a rectangular structure with an opening near a vertical wal... With the method of separation of variables and the eigenfunction expansion employed, an analytical solution is presented for the radiation and diffraction of a rectangular structure with an opening near a vertical wall in oblique seas, in which the unknown coefficients are determined by the boundary conditions and matching requirement on the interface. The effects of the width of the opening and the angle of incidence on the hydrodynamic characteristics of a rectangular structure with an opening near a vertical wall are mainly studied. The comparisons of the calculation results with wall-present and with wall-absent are also made. The results indicate that the variation trends of the heave added mass and excitation force with wall-present are almost the same as those with wall-absent, and that the peak values in the former case are obviously larger than those in the latter due to the reflection of the vertical wall. 展开更多
关键词 wave radiation and diffraction rectangular structure OPENING oblique incidence vertical wall analytical solution hydrodynamic characteristics comparison
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Effects of output waveforms on penetration for Nd :YAG laser welding 被引量:1
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作者 王家淳 沈剑韵 王希哲 《China Welding》 EI CAS 2000年第1期67-77,共11页
By using a Nd: YAG laser welding system devised for transmitting continuous, rectangular and pulsed waveforms, comprehensive and deep investigation is focused on the effects of several parameters of rectangular wavefo... By using a Nd: YAG laser welding system devised for transmitting continuous, rectangular and pulsed waveforms, comprehensive and deep investigation is focused on the effects of several parameters of rectangular waveform and pulsed output wave superimposed on a rectangular waveform on the penetration depth of weld. Research results indicate that the average power, duty cycle, frequency and peak power of rectangular wave affect the weld penetration depth to different extent. Results of experiments and analysis also indicate that the pulse delay time, pulse width and the power ratio of pulse to rectangular waveform seriously influence the penetration when the pulsed wave is superimposed on a rectangular waveform. 展开更多
关键词 Nd: YAG laser welding output waveform PENETRATION rectangular waveform pulsed wave
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一种新的X-wave仿真方法 被引量:1
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作者 李雅琴 花少炎 +1 位作者 丁明跃 尉迟明 《北京生物医学工程》 2012年第6期586-590,共5页
目的 X-wave作为一种典型的非衍射波,具有很强的潜在价值,在使用有限孔径传感器的情况下,能够在较深的场域内保持不发散的优点,比传统的超声系统节省了动态聚焦的计算过程,能有效提高超声成像的速度。但X-wave的理论激励信号比较复杂,... 目的 X-wave作为一种典型的非衍射波,具有很强的潜在价值,在使用有限孔径传感器的情况下,能够在较深的场域内保持不发散的优点,比传统的超声系统节省了动态聚焦的计算过程,能有效提高超声成像的速度。但X-wave的理论激励信号比较复杂,导致其在仿真经济成本和时间耗费过高。基于此,本文提出一种使用矩形波或三角波的简单波取代复杂的激励信号的方法。方法首先使用简单波(矩形波和三角波)取代原有的X-wave的激励信号,采用L2的优化算法选择哪一种简单波最接近原有的激励信号,再通过计算空间脉冲响应实现声场的仿真。结果声场仿真结果显示,该方法能最大限度减少激励信号的差异,减少X-wave仿真运算时间,并为降低X-wave的硬件成本提供空间。结论该方法可以在较高精度的前提下显著降低X-wave的仿真成本,为X-wave的应用提供一种新思路。 展开更多
关键词 非衍射波 X—wave 矩形波 三角波
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Tuning of band gaps for a two-dimensional piezoelectric phononic crystal with a rectangular lattice 被引量:9
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作者 Yize Wang Fengming Li +2 位作者 Yuesheng Wang Kikuo Kishimoto Wenhu Huang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第1期65-71,共7页
In this paper, the elastic wave propagation in a two-dimensional piezoelectric phononic crystal is studied by considering the mechanic-electric coupling. The generalized eigenvalue equation is obtained by the relation... In this paper, the elastic wave propagation in a two-dimensional piezoelectric phononic crystal is studied by considering the mechanic-electric coupling. The generalized eigenvalue equation is obtained by the relation of the mechanic and electric fields as well as the Bloch-Floquet theorem. The band structures of both the in-plane and anti-plane modes are calculated for a rectangular lattice by the planewave expansion method. The effects of the lattice constant ratio and the piezoelectricity with different filling fractions are analyzed. The results show that the largest gap width is not always obtained for a square lattice. In some situations, a rectangular lattice may generate larger gaps. The band gap characteristics are influenced obviously by the piezoelectricity with the larger lattice constant ratios and the filling fractions. 展开更多
关键词 PIEZOELECTRICITY Phononic crystal rectangular lattice - Plane-wave expansion method Band gap
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Performance Evaluation of Bottom-Standing Submerged Breakwaters in Regular Waves Using the Meshless Singular Boundary Method 被引量:1
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作者 SENOUCI Fawzi CHIOUKH Nadji DRIS Mohammed El-Amine 《Journal of Ocean University of China》 SCIE CAS CSCD 2019年第4期823-833,共11页
In this paper, the improved version of the meshless singular boundary method (ISBM) is developed for analyzing the hydrodynamic performance of bottom-standing submerged breakwaters in regular normally incident waves. ... In this paper, the improved version of the meshless singular boundary method (ISBM) is developed for analyzing the hydrodynamic performance of bottom-standing submerged breakwaters in regular normally incident waves. Both the single and dual prismatic breakwaters of rectangular and trapezoidal forms are examined. Only the impermeable breakwaters are considered in this study. The physical problem is cast in terms of the Laplace equation governing an irrotational flow and incompressible fluid motion with the appropriate mixed-type boundary conditions, and it is solved numerically using the ISBM. The numerical results are presented in terms of the hydrodynamic quantities of reflection and transmission coefficients. The values are first validated against the data of previous studies, computed, and discussed for a variety of structural conditions, including the height, width, and spacing of breakwater submergence. An excellent agreement is observed between the ISBM results and those of other methods. The breakwater width is found to feature marginal effects compared with the height. The present method is shown to accurately predict the resonant conditions at which the maximum reflection and transmission occur. The trapezoidal breakwaters are found to generally present a wide spectrum of reflections, suggesting that they would function better than the rectangular breakwaters. The dual breakwater systems are confirmed to perform much better than single structures. 展开更多
关键词 meshless improved singular boundary method regular normal waves rectangular and trapezoidal breakwaters reflection transmission
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Suppression of Wave-Excited Vibration of Offshore Platform by Use of Tuned Liquid Dampers 被引量:6
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作者 董胜 李华军 Tomotsuka TAKAYAMA 《China Ocean Engineering》 SCIE EI 2001年第2期165-176,共12页
This paper describes experimental and theoretical investigations of Tuned Liquid Damper (TLD) characteristics for suppressing the wave-excited structural vibration. The structural model for the experiments is scaled a... This paper describes experimental and theoretical investigations of Tuned Liquid Damper (TLD) characteristics for suppressing the wave-excited structural vibration. The structural model for the experiments is scaled according to a full size offshore platform by matching their dynamic properties. Rectangular TLDs of different sizes with partially filled liquid are examined. By observing the performance and behavior of TLDs through laboratory experiments, the Study investigates the influence of a number of parameters, including container size, container shape, frequency ratio, and incident wave characteristics. In an analytical study, a mathematical model that describes the nonlinear behavior of liquid in TLD and the interaction of TLD and structure is prerequisite. The validity of the model is evaluated and simulating results can reasonably match the corresponding experimental results. 展开更多
关键词 numerical simulation offshore platform tuned liquid damper structural vibration rectangular container shallow water wave theory
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Dynamic behavior of rectangular crack in three-dimensional orthotropic elastic medium by means of non-local theory 被引量:2
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作者 Haitao LIU Zhengong ZHOU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第2期173-190,共18页
The dynamic behavior of a rectangular crack in a three-dimensional (3D) orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional (2D) Fourier trans... The dynamic behavior of a rectangular crack in a three-dimensional (3D) orthotropic elastic medium is investigated under a harmonic stress wave based on the non-local theory. The two-dimensional (2D) Fourier transform is applied, and the mixed- boundary value problems are converted into three pairs of dual integral equations with the unknown variables being the displacement jumps across the crack surfaces. The effects of the geometric shape of the rectangular crack, the circular frequency of the incident waves, and the lattice parameter of the orthotropic elastic medium on the dynamic stress field near the crack edges are analyzed. The present solution exhibits no stress singularity at the rectangular crack edges, and the dynamic stress field near the rectangular crack edges is finite. 展开更多
关键词 orthotropic elastic medium rectangular crack time-harmonic P-wave non-local theory
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Linear theory of a dielectric-loaded rectangular Cerenkov maser with a sheet electron beam
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作者 陈晔 赵鼎 +2 位作者 刘文鑫 王勇 万晓声 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期245-250,共6页
A three-dimensional model of a dielectric-loaded rectangular Cerenkov maser with a sheet electron beam for the beam-wave interaction is proposed.Based on this model,the hybrid-mode dispersion equation is derived with ... A three-dimensional model of a dielectric-loaded rectangular Cerenkov maser with a sheet electron beam for the beam-wave interaction is proposed.Based on this model,the hybrid-mode dispersion equation is derived with the Borgnis potential function by using the field-matching method.Its approximate solution is obtained under the assumption of a dilute electron beam.By using the Ansoft high frequency structural simulator(HFSS) code,the electromagnetic field distribution in the interaction structure is given.Through numerical calculations,the effects of beam thickness,beam and dielectric-layer gap distance,beam voltage,and current density on the resonant growth rate are analysed in detail. 展开更多
关键词 rectangular Cerenkov maser beam-wave interaction hybrid-mode dispersion equation Borgnis potential function
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Study of Rectangular Underexpanded Microjets
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作者 Shota Yoshimi Shinichiro Nakao Yoshiaki Miyazato 《Open Journal of Fluid Dynamics》 CAS 2023年第2期122-131,共10页
The underexpanded microjet emerging from a rectangular convergent nozzle with a high aspect ratio at the nozzle exit is investigated numerically using the Reynolds-averaged Navier-Stokes (RANS) simulation with the Men... The underexpanded microjet emerging from a rectangular convergent nozzle with a high aspect ratio at the nozzle exit is investigated numerically using the Reynolds-averaged Navier-Stokes (RANS) simulation with the Menter’s shear stress transport (SST) k-ω turbulence model. The simulation is performed at the nozzle pressure ratio of 5.0 to produce a strong shock and it is validated by a comparison with a rainbow schlieren picture of the microjet. The three-dimensional structure of the shock-containing rectangular microjet is demonstrated using the isopycnic surface and bright-field schlieren representations. 展开更多
关键词 Microjets Rainbow Schlieren RANS Simulation rectangular Nozzle Shock waves
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高频脉冲电解加工双电压波形模型研究与验证
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作者 袁立新 赵建社 杨浩骏 《电加工与模具》 北大核心 2025年第S1期46-49,共4页
高频脉冲电源的矩形波形对于提高电解加工精度至关重要,而在常规大电流电解加工过程中,高频脉冲电源单电压矩形波上升缓慢,电流脉动效果得不到充分体现,限制了电解加工效率和精度的提升。为解决此问题,首先对高频脉冲电解加工单电压波... 高频脉冲电源的矩形波形对于提高电解加工精度至关重要,而在常规大电流电解加工过程中,高频脉冲电源单电压矩形波上升缓慢,电流脉动效果得不到充分体现,限制了电解加工效率和精度的提升。为解决此问题,首先对高频脉冲电解加工单电压波形的机理进行了分析,提出了一种高频脉冲电解加工的双电压波形模型,并通过仿真和实际电路验证了效果。结果表明,双电压波形模型可显著加快高频脉冲电源的矩形波上升速度,提高电解加工电流的脉动效果,从而有效提升电解加工效率和精度。 展开更多
关键词 电解加工 高频脉冲电源 矩形波
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矩形波导中场解的计算与分析
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作者 黄斌科 《电气电子教学学报》 2025年第5期22-26,共5页
针对“微波工程”课程学习中波导场解内容抽象且难度大的问题,对场解的计算和解的形式的物理解释进行了深入分析。基于Maxwell方程利用两种方式推导了纵向场满足的亥姆霍兹方程,利用导体边界条件分析了场解在横向坐标上满足的函数关系,... 针对“微波工程”课程学习中波导场解内容抽象且难度大的问题,对场解的计算和解的形式的物理解释进行了深入分析。基于Maxwell方程利用两种方式推导了纵向场满足的亥姆霍兹方程,利用导体边界条件分析了场解在横向坐标上满足的函数关系,并解释了波导中波传播的截止现象。所述方法和思想有助于学生深入理解波导中场的求解过程和解的物理意义,可作为波导学习中经典教材内容的有益补充。 展开更多
关键词 矩形波导 亥姆霍兹波动方程 导体边界条件
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基于ADMM算法优化的矩形网格隐式有限差分波动方程正演模拟
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作者 王文化 文晓涛 +2 位作者 吴昊 杨吉鑫 匡胤 《地球物理学报》 北大核心 2025年第2期680-695,共16页
有限差分(FD)法广泛用于地震勘探领域的波动方程数值模拟.由于存在“饱和效应”,利用Taylor级数展开法(TE)计算高阶FD系数会在高频和粗网格条件下产生明显的数值频散.一般的常系数优化法能在较大波数区间取得更高的数值精度,但缺乏对中... 有限差分(FD)法广泛用于地震勘探领域的波动方程数值模拟.由于存在“饱和效应”,利用Taylor级数展开法(TE)计算高阶FD系数会在高频和粗网格条件下产生明显的数值频散.一般的常系数优化法能在较大波数区间取得更高的数值精度,但缺乏对中、低波数区间的误差约束;此外,它们大多沿单空间方向压制数值频散,因而无法缓解矩形网格模板的数值各向异性.本文基于隐式FD模板发展了一种多空间方向优化的波动方程正演模拟方法,以同时解决数值频散和数值各向异性问题.针对实用性更强的矩形网格单元,本文基于L_(1)范数建立目标函数并增加波传播角约束以减小数值各向异性,然后运用交替方向乘子法(ADMM)求解优化问题从而实现提高模拟精度的目的.理论误差曲线分析表明,相比传统TE方法和其他单向L_(1)范数、L_(2)范数、L_(∞)范数优化方法,本文基于L_(1)范数的多向优化方法在中、低波数区间具有最小的绝对误差,同时能更好的均衡各个方位角之间的误差分布.均匀介质、Marmousi-2地质模型的正演模拟算例均证明本文所提出的方法比其他三种优化方法在减小长时程测试下的误差积累方面更有优势. 展开更多
关键词 隐式有限差分 矩形网格 波动方程正演 常系数优化法 交替方向乘子法
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