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Impedance Analytical Method of Wave Run-up and Reflection from A Slotted-Wall Caisson Breakwater 被引量:3
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作者 朱大同 《China Ocean Engineering》 SCIE EI 2010年第3期453-465,共13页
An impedance analytical method (IAM) is developed to study the interaction of plane water wave with a slotted-wall caisson breakwater. The non-linear boundary condition at the slotted-wall is expressed in terms of f... An impedance analytical method (IAM) is developed to study the interaction of plane water wave with a slotted-wall caisson breakwater. The non-linear boundary condition at the slotted-wall is expressed in terms of flow resistance. A set of algebraic expressions are obtained for free surface elevation inside and outside chamber, and reflection coefficient. The prediction of the reflection coefficients shows that the relative widths of the chamber inducing the minimum reflection coefficient for a slotted-wall caisson breakwater are in a range of 0.10~0.20, which are smaller than that (0.15~0.25) for a perforated-wall caisson breakwater. The reflection coefficients and free surface elevation obtained by the present model are compared with that of laboratory experiments carried out by previous researchers. 展开更多
关键词 plane wave slotted-wall caisson wave reflection wave run-up impedance analytical method (IAM)
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Seismic fluid identification using a nonlinear elastic impedance inversion method based on a fast Markov chain Monte Carlo method 被引量:2
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作者 Guang-Zhi Zhang Xin-Peng Pan +2 位作者 Zhen-Zhen Li Chang-Lu Sun Xing-Yao Yin 《Petroleum Science》 SCIE CAS CSCD 2015年第3期406-416,共11页
Elastic impedance inversion with high efficiency and high stability has become one of the main directions of seismic pre-stack inversion. The nonlinear elastic impedance inversion method based on a fast Markov chain M... Elastic impedance inversion with high efficiency and high stability has become one of the main directions of seismic pre-stack inversion. The nonlinear elastic impedance inversion method based on a fast Markov chain Monte Carlo (MCMC) method is proposed in this paper, combining conventional MCMC method based on global optimization with a preconditioned conjugate gradient (PCG) algorithm based on local optimization, so this method does not depend strongly on the initial model. It converges to the global optimum quickly and efficiently on the condition that effi- ciency and stability of inversion are both taken into consid- eration at the same time. The test data verify the feasibility and robustness of the method, and based on this method, we extract the effective pore-fluid bulk modulus, which is applied to reservoir fluid identification and detection, and consequently, a better result has been achieved. 展开更多
关键词 Elastic impedance Nonlinear inversion FastMarkov chain Monte Carlo method - Preconditionedconjugate gradient algorithm ~ Effective pore-fluid bulkmodulus
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VIRTUAL-RAY METHOD AND ITS APPLICATION IN THE PLANE WAVE SCATTERING BY AN IMPEDANCE WEDGE
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作者 Zhang Mengyang Feng Kongyu(institute of Electronics, Chinese Academy of Sciences, Beijing 100080) 《Journal of Electronics(China)》 1997年第1期82-89,共8页
The virtual-ray method for treating HF electromagnetic scattering problems is derived from the plane wave of free space, and using this the plane wave scattering by an impedance wedge is studied. In the solution proce... The virtual-ray method for treating HF electromagnetic scattering problems is derived from the plane wave of free space, and using this the plane wave scattering by an impedance wedge is studied. In the solution process a novel concept of generalized circle is introduced so that the complete amplitude function is obtained. And a reasonable physical interpretation for the term W2, which was neglected previously, is given. The calculated results agree well with those of the analytical solution obtained by G.D. Maliuzhinets(1958). 展开更多
关键词 Virtual-ray method EM scattering by AN impedance WEDGE Generalized circle
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Electrical Impedance Tomography Based on Direct Search Method
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作者 蔡畅 严壮志 《Journal of Shanghai University(English Edition)》 CAS 2005年第5期432-436,共5页
Solution to impedance distribution in electrical impedance tomography (EIT) is an ill-posed nonlinear inverse problem. It is especially difficult to reconstruct an EIT image in the center area of a measured object. ... Solution to impedance distribution in electrical impedance tomography (EIT) is an ill-posed nonlinear inverse problem. It is especially difficult to reconstruct an EIT image in the center area of a measured object. Tikhonov regularization with some prior information is a sound regnlarization method for static electrical impedance tomography under the condition that some true impedance distribution information is known a priori. This paper presents a direct search method (DSM) as pretreatment of image reconstruction through which one not only can construct a regularization matrix which may locate in areas of impedance change, but also can obtain an initial impedance distribution more similar to the true impedance distribution, as well as better current modes which can better distinguish the initial distribution and the true distribution. Simulation results indicate that, by using DSM, resolution in the center area of the measured object can be improved significantly. 展开更多
关键词 direct searching method (DSM) electrical impedance tomography (EIT) inverse problem.
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Transient Hydroelastic Response of VLFS by FEM with Impedance Boundary Conditions in Time Domain 被引量:3
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作者 邱流潮 刘桦 《China Ocean Engineering》 SCIE EI 2005年第1期1-9,共9页
A time-dependent finite element method (FEM) is developed to analyze the transient hydroelastic responses of very large floating structures (VLFS) subjected to dynamic loads. The hydrodynamic problem is formulated bas... A time-dependent finite element method (FEM) is developed to analyze the transient hydroelastic responses of very large floating structures (VLFS) subjected to dynamic loads. The hydrodynamic problem is formulated based on the linear theory of fluid and the structural response is analyzed based on the thin plate theory. The FEM truncates the unbounded fluid domain by introducing an artificial boundary surface, thus defining a finite computational domain. At this boundary surface an impedance boundary conditions are applied so that no wave reflections occur. In the proposed scheme, all of the procedures are processed directly in time domain, which is efficient for nonlinear analyses of structure floating on unbounded fluid. Numerical results indicate acceptable accuracy of the proposed method. 展开更多
关键词 very large floating structure hydroelastic response impedance boundary conditions transient response fluid-structure interactions finite element method
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Acoustic impedance inversion of zero-offset VSP data 被引量:5
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作者 Wang Jing Liu Yang +4 位作者 Sun Zhe Tian Hong Su Hua Zhao Qianhua Liu Yingyu 《Applied Geophysics》 SCIE CSCD 2009年第2期150-158,共9页
Highly precise acoustic impedance inversion is a key technology for pre-drilling prediction by VSP data. In this paper, based on the facts that VSP data has high resolution, high signal to noise ratio, and the downgoi... Highly precise acoustic impedance inversion is a key technology for pre-drilling prediction by VSP data. In this paper, based on the facts that VSP data has high resolution, high signal to noise ratio, and the downgoing and upgoing waves can be accurately separated, we propose a method of predicting the impedance below the borehole in front of the bit using VSP data. First, the method of nonlinear iterative inversion is adopted to invert for impedance using the VSP corridor stack. Then, by modifying the damping factor in the iteration and using the preconditioned conjugate gradient method to solve the equations, the stability and convergence of the inversion results can be enhanced. The results of theoretical models and actual data demonstrate that the method is effective for pre-drilling prediction using VSP data. 展开更多
关键词 zero-offset VSP impedance inversion non-linear iterative inversion damping factor pre-conditioned conjugate gradient method
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Electrochemical impedance spectra of V_2O_5 xerogel films with intercalation of lithium ion 被引量:1
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作者 张勇 刘玉文 +1 位作者 程玉山 胡信国 《Journal of Central South University of Technology》 2005年第3期309-314,共6页
Vanadium pentoxide xerogel films used for lithium rechargeable batteries were prepared from crystalline c-V2O5 by melt quenching method,then the electrochemical process of lithium intercalation into vanadium pentoxide... Vanadium pentoxide xerogel films used for lithium rechargeable batteries were prepared from crystalline c-V2O5 by melt quenching method,then the electrochemical process of lithium intercalation into vanadium pentoxide xerogel films was simulated with an equivalent circuit model, which was derived from the mechanism of electrode reactions. Measured electrochemical impedance spectra at various electrode potentials were analyzed by using the complex non-linear least-squares fitting method. The results show that impedance spectra consist of 2 high-to- medium frequency depressed arcs and a low frequency straight line. The high frequency arc is attributed to the absorption reaction of lithium ions into the oxide film, the medium frequency arc is attributed to the charge transfer reaction at the vanadium oxide/electrolyte interface and the low frequency is characterized by a straight line with a phase angle of 45° corresponding to the diffusion of lithium ion through vanadium oxide phase. The experimental and calculated results are compared and discussed focusing on the electrochemical performance and the state of charge of the electrode. Moreover, the high consistence of the fitted values of the model to the experimental data indicates that this mathematical model does give a satisfying description of the intercalation process of vanadium pentoxide xerogel films. 展开更多
关键词 vanadium pentoxide xerogel films electrochemical impedance spectra equivalent circuit melt quenching method lithium rechargeable batteries
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AN ANALYSIS ON INPUT IMPEDANCE OF A SINGLE MICROSTRIP PATCH IN THE QUASI-OPTICAL CAVITY
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作者 何宜军 杨铨让 《Journal of Electronics(China)》 1994年第2期150-155,共6页
The electromagnetic field integral equation in the quasi-optical cavity is obtained using the dyadic Green’s function. An expression is derived for the input impedance of a single microstrip patch cavity excited by a... The electromagnetic field integral equation in the quasi-optical cavity is obtained using the dyadic Green’s function. An expression is derived for the input impedance of a single microstrip patch cavity excited by a coaxial probe using moment method. The input impedance of a rectangular microstrip patch is discussed with this method. The result of this paper is similar to that of the microstrip antenna. This paper is of very important value for designing microstrip quasi-optical oscillator. 展开更多
关键词 OSCILLATOR Quasi-optical CAVITY Input impedance MICROSTRIP PATCH MOMENT method
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Improve Spatial Resolution of Electrical Impedance Tomography Image Based on Non-uniformity Fine Mesh
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作者 ZHANG Wei-min, MO Yu-long School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China 《Advances in Manufacturing》 SCIE CAS 2000年第S1期42-46,共5页
In electrical impedance tomography (EIT) an approximation for the internal resistivity distribution is computed based on the knowledge of the injected currents and measured voltages on the surface of the body. Several... In electrical impedance tomography (EIT) an approximation for the internal resistivity distribution is computed based on the knowledge of the injected currents and measured voltages on the surface of the body. Several difficulties have been identified in EIT, where the main problem is the low spatial resolution. This paper presents a fining mesh method based on finite element method (FEM), by fining the sensitive element, the most actual signal is obtained in certain electrode number. Newton-Raphson reconstruction algorithm improves the spatial solution of image. The advantages of this method are the improvement of spatial resolution and ease of implementation. 展开更多
关键词 electrical impedance tomography(EIT) finite element method image reconstruction
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Closed-form internal impedance model and characterization of mixed carbon nanotube bundles for three-dimensional integrated circuits
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作者 卢启军 朱樟明 +2 位作者 杨银堂 丁瑞雪 李跃进 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第1期520-525,共6页
Based on the complex effective conductivity method, a closed-form expression for the internal impedance of mixed carbon nanotube (CNT) bundles, in which the number of CNTs for a given diameter follows a Gaussian dis... Based on the complex effective conductivity method, a closed-form expression for the internal impedance of mixed carbon nanotube (CNT) bundles, in which the number of CNTs for a given diameter follows a Gaussian distribution, is proposed in this paper. It can appropriately capture the skin effect as well as the temperature effect of mixed CNT bundles. The results of the closed-form expression and the numerical calculation are compared with various mean diameters, standard deviations, and temperatures. It is shown that the proposed model has very high accuracy in the whole frequency range considered, with maximum errors of 1% and 2.3% for the resistance and the internal inductance, respectively. Moreover, by using the proposed model, the high-frequency electrical characteristics of mixed CNT bundles are deeply analyzed to provide helpful design guidelines for their application in future high-performance three-dimensional integrated circuits. 展开更多
关键词 mixed carbon nanotube (CNT) bundle internal impedance closed-form expression complex ef-fective conductivity method
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Efficient Computation of Scattering from Targets with Negative Impedance Surface
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作者 Jingwei Hao Hongwei Gao Xinqing Sheng 《Journal of Beijing Institute of Technology》 EI CAS 2017年第1期90-94,共5页
Current surface integral equations used for computing scattering from targets with negative impedance boundary condition(IBC)are not efficient.A modified surface dual integral equation(M-SDIE)for targets with nega... Current surface integral equations used for computing scattering from targets with negative impedance boundary condition(IBC)are not efficient.A modified surface dual integral equation(M-SDIE)for targets with negative IBC is presented.A pure imaginary number is used to balance the formulations.It is proved that the M-SDIE is accurate and efficient with three numerical examples.The first numerical example shows that the M-SDIE is accurate compared with Mie.The second example shows that the presented SIE is efficient.In the third example,a missile head is selected to present the computing power of the M-SDIE.All the examples show that the M-SDIE is an efficient algorithm for negative IBC. 展开更多
关键词 electromagnetic scattering impedance boundary condition (IBC) method of moments(MoM) surface integral equation
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Longitudinal impedance measurements and simulations of a three-metal-strip kicker
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作者 Jin-Liu Su Yu-Dong Liu +3 位作者 Sai-Ke Tian Lei Wang Na Wang Sen Yue 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2023年第4期115-126,共12页
A kicker is a critical component for beam injection and accumulation in circular particle accelerators. A ceramic slat kicker plated with a TiN conductive coating was applied in the Beijing Electron Positron Collider ... A kicker is a critical component for beam injection and accumulation in circular particle accelerators. A ceramic slat kicker plated with a TiN conductive coating was applied in the Beijing Electron Positron Collider (BEPCII). However, the ceramic slat kicker has experienced several sudden malfunctions during the operation of the BEPCII in the past. With a reliable kicker structure, a three-metal-strip kicker can substitute the original ceramic slat kicker to maintain the operational stability of the BEPCII. A comparison of the numerical simulation was conducted for three kicker models, demonstrating the comprehensive advantage of the three-metal-strip kicker. Furthermore, impedance bench measurements were conducted on a prototype of a three-metal-strip kicker. The longitudinal beam-coupling impedance was measured using a vector network analyzer via the coaxial wire method. A satisfactory agreement was obtained between the numerical simulations and measurements. Based on the numerical simulation data, the loss factor was 0.01721 V/pC, and the effective impedance was 3.59 mΩ(σ=10 mm).The simulation of the heat deposition on each part of the kicker demonstrated that 84.4%of the parasitic loss of the beam was deposited on the metal strips, and the total heat deposition power on the kicker was between 113.3 and 131.5 W. The obtained heat deposition powers can be considered as a reference for establishing the cooling system. 展开更多
关键词 Ceramic slat kicker Three-metal-strip kicker impedance bench measurement Coaxial wire method Heat deposition power
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Boundary Estimation in Annular Two-Phase Flow Using Electrical Impedance Tomography with Particle Swarm Optimization
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作者 Rongli Wang 《Modern Electronic Technology》 2019年第1期15-19,共5页
In this study we consider the boundary estimation of annular two-phase flow in a pipe with the potential distribution on the electrodes mounted on the outer boundary of the pipe, by taking use of electrical impedance ... In this study we consider the boundary estimation of annular two-phase flow in a pipe with the potential distribution on the electrodes mounted on the outer boundary of the pipe, by taking use of electrical impedance tomography (EIT) technique with the numerical solution obtained from an improved boundary distributed source (IBDS) method. The particle swarm optimization (PSO) is used to iteratively seek the boundary configuration. The simulation results showed that PSO and EIT technique with numerical solution obtained from IBDS has been successfully applied to the monitoring of an annular two-phase flow. 展开更多
关键词 Electrical impedance tomography MESHLESS method Improved BOUNDARY distributed source method Particle SWARM optimization ANNULAR TWO-PHASE flow
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MoM-based topology optimization method for planar metallic antenna design 被引量:3
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作者 Shutian Liu Qi Wang Renjing Gao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2016年第6期1058-1064,共7页
The metallic antenna design problem can be treated as a problem to find the optimal distribution of conductive material in a certain domain. Although this problem is well suited for topology optimization method, the v... The metallic antenna design problem can be treated as a problem to find the optimal distribution of conductive material in a certain domain. Although this problem is well suited for topology optimization method, the volumetric distribution of conductive material based on 3D finite element method (FEM) has been known to cause numerical bottlenecks such as the skin depth issue, meshed 'air regions' and other numerical problems. In this paper a topology optimization method based on the method of moments (MoM) for configuration design of planar metallic antenna was proposed. The candidate structure of the planar metallic antenna was approximately considered as a resistance sheet with position-dependent impedance. In this way, the electromagnetic property of the antenna can be analyzed easily by using the MoM to solve the radiation problem of the resistance sheet in a finite domain. The topology of the antenna was depicted with the distribution of the impedance related to the design parameters or relative densities. The conductive material (metal) was assumed to have zero impedance, whereas the non-conductive material was simulated as a material with a finite but large enough impedance. The interpolation function of the impedance between conductive material and non-conductive material was taken as a tangential function. The design of planar metallic antenna was optimized for maximizing the efficiency at the target frequency. The results illustrated the effectiveness of the method. 展开更多
关键词 Metallic antenna design Topology optimization method of moments Resistance sheet impedance boundary condition
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On-line Measurement for Ohmic Resistance in Direct Methanol Fuel Cell by Current Interruption Method 被引量:2
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作者 刘敏 王金海 +3 位作者 王树博 谢晓峰 周涛 V.K.Mathur 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2010年第5期843-847,共5页
Electrochemical impedance spectroscopy (EIS) is widely used in fuel cell impedance analysis. However, for ohmic resistance (R Ω), EIS has some disadvantages such as long test period and complex data analysis with equ... Electrochemical impedance spectroscopy (EIS) is widely used in fuel cell impedance analysis. However, for ohmic resistance (R Ω), EIS has some disadvantages such as long test period and complex data analysis with equivalent circuits. Therefore, the current interruption method is explored to measure the value of RΩ in direct methanol fuel cells (DMFC) at different temperatures and current densities. It is found that RΩ decreases as temperature increase, and decreases initially and then increases as current density increases. These results are consistent with those measured by the EIS technique. In most cases, the ohmic resistances with current interruption (R iR ) are larger than those with EIS (R EIS ), but the difference is small, in the range from –0.848% to 5.337%. The errors of R iR at high current densities are less than those of R EIS . Our results show that the R iR data are reliable and easy to obtain in the measurement of ohmic resistance in DMFC. 展开更多
关键词 direct methanol fuel cell (DMFC) ohmic resistance current interruption method electrochemical impedance spectroscopy (EIS) membrane resistance
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Microwave absorption properties regulation and bandwidth formula of oriented Y_(2)Fe_(17)N_(3-δ)@SiO_(2)/PU composite synthesized by reduction-diffusion method 被引量:1
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作者 Hao Wang Liang Qiao +4 位作者 Zu-Ying Zheng Hong-Bo Hao Tao Wang Zheng Yang Fa-Shen Li 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第11期341-351,共11页
As concepts closely related to microwave absorption properties,impedance matching and phase matching were rarely combined with material parameters to regulate properties and explore related mechanisms.In this work,red... As concepts closely related to microwave absorption properties,impedance matching and phase matching were rarely combined with material parameters to regulate properties and explore related mechanisms.In this work,reduction–diffusion method was innovatively applied to synthesize rare earth alloy Y_(2)Fe_(17).In order to regulate the electromagnetic parameters of absorbers,the Y_(2)Fe_(17)N_(3-δ)particles were coated with silica(Y_(2)Fe_(17)N_(3-δ)@SiO_(2))and absorbers with different volume fractions were prepared.The relationship between impedance matching,matching thickness,and the strongest reflection loss peak(RLmin)was presented obviously.Compared to the microwave absorption properties of Y_(2)Fe_(17)N_(3-δ)/PU absorber,Y_(2)Fe_(17)N_(3-δ)@SiO_(2)/PU absorbers are more conducive to the realization of microwave absorption material standards which are thin thickness,light weight,strong absorbing intensity,and broad bandwidth.Based on microwave frequency bands,the microwave absorption properties of the absorbers were analyzed and the related parameters were listed.As an important parameter related to perfect matching,reflection factor(√ε_(r)/μ_(r))was discussed combined with microwave amplitude attenuation.According to the origin and mathematical model of bandwidth,the formula of EAB(RL<-10 dB)was derived and simplified.The calculated bandwidths agreed well with experimental results. 展开更多
关键词 microwave absorption rare earth alloy reduction-diffusion method Y_(2)Fe_(17)N_(3-δ)@SiO_(2) reflection factor impedance and phase matching bandwidth formula
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ONE-DIMENSIONAL CONSOLIDATION OF LAYERED SOILS WITH IMPEDED BOUNDARIES UNDER TIME-DEPENDENT LOADINGS
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作者 蔡袁强 梁旭 吴世明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第8期937-944,共8页
On the basis of Terzaghi's one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under time-dependent loading was studied. By the method o... On the basis of Terzaghi's one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under time-dependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method,the results from the method illustrated are more accurate. 展开更多
关键词 one-dimensional consolidation impeded boundary layered soil time-dependent loadling Laplace transform effective stress ratio average index method
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Electromagnetic Modeling of a Planar Structure Integrating a Via-Hole Using the Method FWCIP
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作者 Sameh Toumi Sahli Fethi Mejri Taoufik Aguili 《Open Journal of Antennas and Propagation》 2016年第2期64-84,共21页
We present in this paper a new formulation of the iterative method FWCIP “Fast Wave Concept Iterative Process” based on the wave concept. It calculates the electromagnetic parameters of a planar structure including ... We present in this paper a new formulation of the iterative method FWCIP “Fast Wave Concept Iterative Process” based on the wave concept. It calculates the electromagnetic parameters of a planar structure including a via-hole. This is modelled by the electromagnetic field that it creates in the structure. The validation of results found by this new formulation is ensured by comparison with those obtained by HFSS “high frequency structural simulator” software from Ansoft. They show that they are in good agreement. 展开更多
关键词 Microstrip Line Iterative method FWCIP impedance Input Planar Structure Via-Hole
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Non-Contact Velocity Measurement of Japanese Cedar Columns Using Air-Coupled Ultrasonics
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作者 Masumi Hasegawa Misaki Mori Junji Matsumura 《World Journal of Engineering and Technology》 2016年第1期45-50,共6页
The ultrasonic wave velocities of Japanese cedar columns were measured using a non-contact method. An air-coupled ultrasonic wave was propagated through the axial and lateral directions of wood. The velocities in the ... The ultrasonic wave velocities of Japanese cedar columns were measured using a non-contact method. An air-coupled ultrasonic wave was propagated through the axial and lateral directions of wood. The velocities in the axial direction (V<sub>L</sub>) showed the minimum values around the pith. The averaged V<sub>L</sub> increased from 3600 m/s towards the outside of measurement area and attained the maximum values (=4010 m/s). The velocities in the lateral direction (V<sub>RT </sub>) showed no tendency among measurement points. The averaged V<sub>RT </sub> was 1450 m/s. The velocities obtained using the non-contact method showed a significant positive relationship with those obtained using the contact method. The averaged ratio of V<sub>L</sub> to V<sub>RT </sub> was measured to be approximately 2.2 to 2.8. These ratios were in agreement with those from a contact method. These findings suggest that it is possible to measure the velocity in Japanese cedar columns with the non-contact method by using air-coupled ultrasonics. 展开更多
关键词 Air-Coupled Ultrasonics VELOCITY non-contact method Nodestructive Evaluation Japanese Cedar
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Dynamic test methods for natural frequency of footbridge
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作者 王彩锋 高世桥 金磊 《Journal of Measurement Science and Instrumentation》 CAS 2013年第3期218-222,共5页
Using environmental random vibration as the excitation,traditional accelerometer method,non-contact video method and non-contact laser method were employed to determine the natural frequency of Kunyu River footbridge.... Using environmental random vibration as the excitation,traditional accelerometer method,non-contact video method and non-contact laser method were employed to determine the natural frequency of Kunyu River footbridge.All the results of these three methods are close to 2.70 Hz,which are concordant with each other and hence credible. 展开更多
关键词 test method non-contact natural frequency amplitude-frequency curveCLC number:TU997 Document code:AArticle ID:1674-8042(2013)03-0218-05
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