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Discussion of“Prediction of the undrained shear strength of remolded soil with non-linear regression,fuzzy logic,and artificial neural network”[J.Mt.Sci.21(9):3108–3122]
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作者 Amin SOLTANI Brendan C.O’KELLY 《Journal of Mountain Science》 2025年第7期2723-2730,共8页
This opinion article discusses the original research work of Yünkül et al.(the Authors)published in the Journal of Mountain Science 21(9):3108–3122.Employing non-linear regression,fuzzy logic and artificial... This opinion article discusses the original research work of Yünkül et al.(the Authors)published in the Journal of Mountain Science 21(9):3108–3122.Employing non-linear regression,fuzzy logic and artificial neural network modeling techniques,the Authors interrogated a large database assembled from the existing research literature to assess the performance of twelve equation rules in predicting the undrained shear strength(s_(u))mobilized for remolded fine-grained soils at different values of liquidity index(I_(L))and water content ratio.Based on their analyses,the Authors proposed a simple and reportedly reliable correlation(i.e.,Eq.9 in their paper)for predicting s_(u) over the I_(L) range of 0.15 to 3.00.This article describes various shortcomings in the Authors’assembled database(including potentially anomalous data and covering an excessively wide I_(L) range in relation to routine geotechnical and transportation engineering applications)and their proposed s_(u)=f(I_(L))correlation.Contrary to the Authors’assertions,their proposed correlation is not reliable for fine-grained soils with consistencies in the general firm to stiff range(i.e.,for 0.15<I_(L)<0.40),increasingly overestimating s_(u) for reducing I_(L),and eventually predicting s_(u)→+∞for I_(L)→0.15+(while producing mathematically undefined s_(u) for I_(L)<0.15),thus rendering their correlation unconservative and potentially leading to unsafe geotechnical designs.Exponential or regular-power type s_(u)=f(I_(L))models are more s_(u)itable when developing correlations that are applicable over the full plastic range(of 0<I_(L)<1),thereby providing reasonably conservative s_(u) predictions for use in the preliminary design for routine geotechnical engineering applications. 展开更多
关键词 Undrained shear strength Liquidity index Soil consistency non-linear regression
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Non-Linear Increase of the Real Contact Area of PMMA Blocks and the Related Contact Model
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作者 Zhijun Luo Kai Wu Shaoze Yan 《Chinese Journal of Mechanical Engineering》 2025年第1期261-272,共12页
Many experiments have supported the contact models,such as the GW and MB models,but the majority of previous validations have been performed under light loads,resulting in a linear relationship between normal force an... Many experiments have supported the contact models,such as the GW and MB models,but the majority of previous validations have been performed under light loads,resulting in a linear relationship between normal force and contact area.However,the real contact area fraction should never equal one;there must be a limit smaller than the apparent area,implying that the real contact area cannot increase linearly indefinitely.In this paper,the real contact area between two polymethylmethacrylate(PMMA)blocks under heavy load is measured using the total reflection method,and the contact area is analyzed using the image processing method.The results show that the real contact area increases with normal load linearly in light loads but non-linearly in heavy loads;the number of contact spots increases with load linearly in light loads but also non-linearly in heavy loads,synchronous with the change in the real contact area.The GW,MB,and Zhao,Maietta,and Chang(ZMC)models were used to predict the experiment results,but none of them predicted the non-linear stage.A revised GW model based on the bulk deformation hypothesis performs better in predicting the non-linear stage.The study’s findings can be applied to PMMA or other similar materials,and they can serve as a useful reference for future research on the contact mechanisms of other materials. 展开更多
关键词 Real contact area GW model MB model Total reflection non-linear increase
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Buckling morphology evolution of thin films on non-linear elastic substrates
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作者 Andi Lai Di Ou +1 位作者 Jun Liao Guo Fu 《Acta Mechanica Sinica》 2025年第2期176-183,共8页
Organisms have evolved a strain limiting mechanism,reflected as a non-linear elastic constitutive,to prevent large deformations from threatening soft tissue integrity.Compared with linear elastic substrates,the wrinkl... Organisms have evolved a strain limiting mechanism,reflected as a non-linear elastic constitutive,to prevent large deformations from threatening soft tissue integrity.Compared with linear elastic substrates,the wrinkle of films on non-linear elastic substrates has received less attention.In this article,a unique wrinkle evolution of the film-substrate system with a J-shaped non-linear stress-strain relation is reported.The result shows that a concave hexagonal array pattern is formed with the shrinkage strain of the film-substrate systems developing.As the interconnection of hexagonal arrays,a unit cell ridge network appears with properties such as chirality and helix.The subparagraph maze pattern formed with high compression is mainly composed of special single-cell ridge networks such as spiral single cores,chiral double cores,and combined multi-cores.This evolutionary model is highly consistent with the results of experiments,and it also predicts wrinkle morphology that has not yet been reported.These findings can serve as a novel explanation for the surface wrinkle of biological soft tissue,as well as provide references for the preparation of artificial biomaterials and programmable soft matter. 展开更多
关键词 non-linear elastic substrate Chiral ridge Spiral unit cell Tension-compression asymmetry Wrinkle morphological evolution
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Resource Allocation Method for Unmanned Aerial Vehicle-Assisted and User Cooperation Non-Linear Energy Harvesting Mobile Edge Computing System
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作者 HE Ximei ZHAO Yisheng +1 位作者 XU Zhihong CHEN Yong 《Journal of Shanghai Jiaotong university(Science)》 2025年第6期1220-1231,共12页
Aimed at the doubly near-far problems in a large range suffered by the remote user group and in a small range existing in both nearby and remote user groups during energy harvesting and computation offloading,a resour... Aimed at the doubly near-far problems in a large range suffered by the remote user group and in a small range existing in both nearby and remote user groups during energy harvesting and computation offloading,a resource allocation method for unmanned aerial vehicle(UAV)-assisted and user cooperation non-linear energy harvesting mobile edge computing(MEC)system is proposed.The UAV equipped with an MEC server is introduced to provide energy and computing services for the remote user group to alleviate the doubly near-far problem in a large range suffered by the remote user group.The doubly near-far problem in a small range existing in both nearby and remote user groups is mitigated by user cooperation.The specific user cooperation strategy is that the user near the base station or the UAV is used as a relay to transfer the computing task of the user far from the base station or the UAV to the MEC server for computing.By jointly optimizing users’offloading time,users’transmitting power,and the hovering position of the UAV,the resource allocation problem is modeled as a nonlinear programming problem with the objective of maximizing computation efficiency.The suboptimal solution is obtained by adopting the differential evolution algorithm.Simulation results show that,compared with the resource allocation method based on genetic algorithm and the without user cooperation method,the proposed method has higher computation efficiency. 展开更多
关键词 mobile edge computing(MEC) non-linear energy harvesting unmanned aerial vehicle(UAV) user cooperation resource allocation
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The ridgelet transform with non-linear threshold for seismic noise attenuation in marine carbonates 被引量:5
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作者 张恒磊 宋双 刘天佑 《Applied Geophysics》 SCIE CSCD 2007年第4期271-275,共5页
Wavelet transforms have been successfully used in seismic data processing with their ability for local time - frequency analysis. However, identification of directionality is limited because wavelet transform coeffici... Wavelet transforms have been successfully used in seismic data processing with their ability for local time - frequency analysis. However, identification of directionality is limited because wavelet transform coefficients reveal only three spatial orientations. Whereas the ridgelet transform has a superior capability for direction detection and the ability to process signals with linearly changing characteristics. In this paper, we present the issue of low signal-to-noise ratio (SNR) seismic data processing based on the ridgelet transform. Actual seismic data with low SNR from south China has been processed using ridgelet transforms to improve the SNR and the continuity of seismic events. The results show that the ridgelet transform is better than the wavelet transform for these tasks. 展开更多
关键词 Ridgelet transform DENOISE marine strata south China non-linear threshold
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Microstructure evolution of Al-Zn-Mg-Cu alloy during non-linear cooling process 被引量:3
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作者 李红英 刘蛟蛟 +2 位作者 余伟琛 赵辉 李德望 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第5期1191-1200,共10页
The microstructure evolution and properties of an Al-Zn-Mg-Cu alloy were investigated under different non-linear cooling processes from the solution temperature, combined with in-situ electrical resistivity measuremen... The microstructure evolution and properties of an Al-Zn-Mg-Cu alloy were investigated under different non-linear cooling processes from the solution temperature, combined with in-situ electrical resistivity measurements, selected area diffraction patterns (SADPs), transmission electron microscopy (TEM), and tensile tests. The relative resistivity was calculated to characterize the phase transformation of the experimental alloy during different cooling processes. The results show that at high temperatures, the microstructure evolutions change from the directional diffusion of Zn and Mg atoms to the precipitation of S phase, depending on the cooling rate. At medium temperatures, q phase nucleates on A13Zr dispersoids and grain boundaries under fast cooling conditions, while S phase precipitates under the slow cooling conditions. The strength and ductility of the aged alloy suffer a significant deterioration due to the heterogeneous precipitation in medium temperature range. At low temperatures, homogeneously nucleated GP zone, η′ and η phases precipitate. 展开更多
关键词 Al-Zn-Mg-Cu alloy microstructure evolution non-linear cooling electrical resistivity mechanical property
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VEHICLE SEGMENTATION AND SHADOW HANDLER BASED ON EXTREMUM IMAGE 被引量:3
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作者 温惠英 徐建闽 刘利频 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第1期65-71,共7页
The shadows similar to the vehicle and the spots caused by vehicle lamps need to be accurately detected in the vehicle segmentation involved in the video-based traffic parameter measurement. Generally, the road surfac... The shadows similar to the vehicle and the spots caused by vehicle lamps need to be accurately detected in the vehicle segmentation involved in the video-based traffic parameter measurement. Generally, the road surface is different from the vehicle surface in the gray-level architecture. An invariant gray-level architecture-the extremum image in the changing illumination environment is derived and a novel algorithm is presented for detecting shadows and spots. The gray-level structure that is not sensitive to the illumination is employed in the algorithm and the road surface mistaken as vehicles can be removed. 展开更多
关键词 gray-level structure extremun point image extremum polarity image shadow detecting VEHICLE
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基于隐含特征和SIFT方法的SAR图像多尺度配准
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作者 蒙倩颜 闫立誉 +1 位作者 叶俊明 邓云逸 《现代电子技术》 北大核心 2026年第1期54-58,共5页
为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图... 为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图像Wishart梯度进行描述,得到单级化SAR图像比值梯度,该比值梯度为SAR图像隐含特征,同时使用SIFT方法建立SAR多尺度空间,在该多尺度空间内生成SAR图像的降采样图像,在该降采样图像的基础上,计算单级化SAR图像比值梯度,依据SAR图像隐含特征确定SAR图像特征极值点和特征点主方向后,生成均匀的SAR图像多尺度配准特征描述向量,再通过欧氏距离来描述SAR图像多尺度配准特征描述向量之间的距离,实现SAR图像多尺度配准。实验结果表明:该方法提取SAR图像隐含特征能力较强,可在SAR图像存在缩放和旋转的情况下高质量实现多尺度配准,应用性较好。 展开更多
关键词 隐含特征 SIFT方法 SAR图像 多尺度配准 极化分解 Wishart梯度 特征极值点 描述向量
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随机利率和非仿射随机波动率模型下的欧式极值期权定价
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作者 余祖和 韦煜明 黄燕萍 《兰州文理学院学报(自然科学版)》 2026年第1期1-8,共8页
在随机利率和非仿射随机波动率模型下,研究了欧式极值期权定价问题.通过Feynman-Kac定理与Taylor一阶展开式,得到资产价格的近似特征函数.随后利用Fourier反变换,得到期权价格的近似解析解.最后通过数值模拟验证了近似解析解的准确性.
关键词 随机利率 非仿射随机波动率 极值期权 特征函数
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Welding Deviation Detection Algorithm Based on Extremum of Molten Pool Image Contour 被引量:13
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作者 ZOU Yong JIANG Lipei +3 位作者 LI Yunhua XUE Long HUANG Junfen HUANG Jiqiang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2016年第1期74-83,共10页
The welding deviation detection is the basis of robotic tracking welding, but the on-line real-time measurement of welding deviation is still not well solved by the existing methods. There is plenty of information in ... The welding deviation detection is the basis of robotic tracking welding, but the on-line real-time measurement of welding deviation is still not well solved by the existing methods. There is plenty of information in the gas metal arc welding(GMAW) molten pool images that is very important for the control of welding seam tracking. The physical meaning for the curvature extremum of molten pool contour is revealed by researching the molten pool images, that is, the deviation information points of welding wire center and the molten tip center are the maxima and the local maxima of the contour curvature, and the horizontal welding deviation is the position difference of these two extremum points. A new method of weld deviation detection is presented, including the process of preprocessing molten pool images, extracting and segmenting the contours, obtaining the contour extremum points, and calculating the welding deviation, etc. Extracting the contours is the premise, segmenting the contour lines is the foundation, and obtaining the contour extremum points is the key. The contour images can be extracted with the method of discrete dyadic wavelet transform, which is divided into two sub contours including welding wire and molten tip separately. The curvature value of each point of the two sub contour lines is calculated based on the approximate curvature formula of multi-points for plane curve, and the two points of the curvature extremum are the characteristics needed for the welding deviation calculation. The results of the tests and analyses show that the maximum error of the obtained on-line welding deviation is 2 pixels(0.16 ram), and the algorithm is stable enough to meet the requirements of the pipeline in real-time control at a speed of less than 500 mm/min. The method can be applied to the on-line automatic welding deviation detection. 展开更多
关键词 welding deviation welding seam tracking molten pool contour curvature extremum gas metal arc welding(GMAW)
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Extremum response surface method of reliability analysis on two-link flexible robot manipulator 被引量:19
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作者 ZHANG Chun-yi BAI Guang-chen 《Journal of Central South University》 SCIE EI CAS 2012年第1期101-107,共7页
In order to present a new method for analyzing the reliability of a two-link flexible robot manipulator,Lagrange dynamics differential equations of the two-link flexible robot manipulator were established by using the... In order to present a new method for analyzing the reliability of a two-link flexible robot manipulator,Lagrange dynamics differential equations of the two-link flexible robot manipulator were established by using the integrated modal method and the multi-body system dynamics method.By using the Monte Carlo method,the random sample values of the dynamic parameters were obtained and Lagrange dynamics differential equations were solved for each random sample value which revealed their displacement,speed and acceleration.On this basis,dynamic stresses and deformations were obtained.By taking the maximum values of the stresses and the deformations as output responses and the random sample values of dynamic parameters as input quantities,extremum response surface functions were established.A number of random samples were then obtained by using the Monte Carlo method and then the reliability was analyzed by using the extremum response surface method.The results show that the extremum response surface method is an efficient and fast reliability analysis method with high-accuracy for the two-link flexible robot manipulator. 展开更多
关键词 RELIABILITY Monte Carlo method extremum response surface function flexible manipulator dynamic strength dynamicstiffness
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NON-LINEAR FORCED VIBRATION OF AXIALLY MOVING VISCOELASTIC BEAMS 被引量:17
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作者 Yang Xiaodong Chen Li-Qun 《Acta Mechanica Solida Sinica》 SCIE EI 2006年第4期365-373,共9页
The non-linear forced vibration of axially moving viscoelastic beams excited by the vibration of the supporting foundation is investigated. A non-linear partial-differential equation governing the transverse motion is... The non-linear forced vibration of axially moving viscoelastic beams excited by the vibration of the supporting foundation is investigated. A non-linear partial-differential equation governing the transverse motion is derived from the dynamical, constitutive equations and geometrical relations. By referring to the quasi-static stretch assumption, the partial-differential non-linearity is reduced to an integro-partial-differential one. The method of multiple scales is directly applied to the governing equations with the two types of non-linearity, respectively. The amplitude of near- and exact-resonant steady state is analyzed by use of the solvability condition of eliminating secular terms. Numerical results are presented to show the contributions of foundation vibration amplitude, viscoelastic damping, and nonlinearity to the response amplitude for the first and the second mode. 展开更多
关键词 axially moving beam VISCOELASTICITY non-linear forced vibration method of multiple scales
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Characteristics of the Main Journal Bearings of an Engine Based on Non-linear Dynamics 被引量:6
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作者 NI Guangjian ZHANG Junhong CHENG Xiaoming 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2009年第5期755-759,共5页
Many simple nonlinear main journal bearing models have been studied theoretically, but the connection to existing engineering system has not been equally investigated. The consideration of the characteristics of engin... Many simple nonlinear main journal bearing models have been studied theoretically, but the connection to existing engineering system has not been equally investigated. The consideration of the characteristics of engine main journal bearings may provide a prediction of the bearing load and lubrication. Due to the strong non-linear features in bearing lubrication procedure, it is difficult to predict those characteristics. A non-linear dynamic model is described for analyzing the characteristics of engine main journal bearings. Components such as crankshaft, main journals and con rods are found by applying the finite element method. Non-linear spring/dampers are introduced to imitate the constraint and supporting functions provided by the main bearing and oil film. The engine gas pressure is imposed as excitation on the model via the engine piston, con rod, etc. The bearing reaction force is calculated over one engine cycle, and meanwhile, the oil film thickness and pressure distribution are obtained based on Reynolds differential equation. It can be found that the maximum bearing reaction force always occurs when the maximum cylinder pressure arises in the cylinder adjacent to that bearing. The simulated minimum oil film thickness, which is 3 μm, demonstrates the reliability of the main journal bearings. This non-linear dynamic analysis may save computing efforts of engine main bearing design and also is of good precision and close connection to actual engine main journal bearing conditions. 展开更多
关键词 non-linear dynamics ENGINE main journal bearings
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Microsphere femtosecond laser sub-50 nm structuring in far field via non-linear absorption 被引量:7
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作者 Zhenyuan Lin Kuan Liu +1 位作者 Tun Cao Minghui Hong 《Opto-Electronic Advances》 SCIE EI CAS CSCD 2023年第6期8-17,共10页
Creation of arbitrary features with high resolution is critically important in the fabrication of nano-optoelectronic devices.Here,sub-50 nm surface structuring is achieved directly on Sb2S3 thin films via microsphere... Creation of arbitrary features with high resolution is critically important in the fabrication of nano-optoelectronic devices.Here,sub-50 nm surface structuring is achieved directly on Sb2S3 thin films via microsphere femtosecond laser irradi-ation in far field.By varying laser fluence and scanning speed,nano-feature sizes can be flexibly tuned.Such small patterns are attributed to the co-effect of microsphere focusing,two-photons absorption,top threshold effect,and high-repetition-rate femtosecond laser-induced incubation effect.The minimum feature size can be reduced down to~30 nm(λ/26)by manipulating film thickness.The fitting analysis between the ablation width and depth predicts that the feature size can be down to~15 nm at the film thickness of~10 nm.A nano-grating is fabricated,which demonstrates desirable beam diffraction performance.This nano-scale resolution would be highly attractive for next-generation laser nano-lithography in far field and in ambient air. 展开更多
关键词 non-linear effect MICROSPHERE femtosecond laser far field
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Magnetotelluric extremum boundary inversion based on different stabilizers and its application in a high radioactive waste repository site selection 被引量:4
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作者 Huang Xian-Yang Deng Ju-Zhi +3 位作者 Chen Xiao Wang Xian-Xiang Chen Hui Yu Hui 《Applied Geophysics》 SCIE CSCD 2019年第3期367-377,397,398,共13页
Geophysical inversion under different stabilizers has different descriptions of the target body boundary,especially in complex geological structures.In this paper,we present an extremum boundary inversion algorithm ba... Geophysical inversion under different stabilizers has different descriptions of the target body boundary,especially in complex geological structures.In this paper,we present an extremum boundary inversion algorithm based on different stabilizers for electrical interface recognition.Firstly,we use the smoothest and minimum-support stabilizing functional to study the applicability of adaptive regularization inversion algorithm.Then,an electrical interface recognition method based on different stabilizers is developed by introducing extremum boundary inversion algorithm.The testing shows that the adaptive regularization inversion method does work for different stabilizers and has a low dependence on the initial models.The ratio of the smooth and focusing upper and lower boundaries obtained using the extremum boundary inversion algorithm can clearly demarcate electrical interfaces.We apply the inversion algorithm to the magnetotelluric(MT)data collected from a preselected area of a high-level-waste clay-rock repository site in the Tamusu area.We recognized regional structures with smooth inversion and the local details with focusing inversion and determined the thickness of the target layer combined with the geological and drilling information,which meets the requirement for the site of the high-level waste clay-rock repository. 展开更多
关键词 MAGNETOTELLURIC adaptive regularization inversion STABILIZER extremum boundary inversion high-level waste repository Tamusu
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A Non-linear Non-ideal Model of Simulated Moving Bed Chromatography for Chiral Separations 被引量:8
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作者 卢建刚 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2003年第2期234-239,共6页
A non-linear non-ideal model, taking into account non-linear competitive isotherms, axial dispersion, film mass transfer, intraparticle diffusion, and port periodic switching, was developed to simulate the dynamics of... A non-linear non-ideal model, taking into account non-linear competitive isotherms, axial dispersion, film mass transfer, intraparticle diffusion, and port periodic switching, was developed to simulate the dynamics of simulated moving bed chromatography (SMBC). The model equations were solved by a new efficient numerical technique of orthogonal collocation on finite elements with periodical movement of concentration vector. The simulated SMBC performance is in accordance with the experimental results reported in the literature for separation of l,1'-bi-2-naphthol enantiomers using SMBC. This model is useful for design, operation, optimization and scale-up of non-linear SMBC for chiral separations with significant non-ideal effects, especially for high solute concentration and small intraparticle diffusion coefficient or large chiral stationary phase particle. 展开更多
关键词 simulated moving bed chromatography chiral separation non-linear isotherm non-ideal effect DYNAMICS
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Unified analytical solutions for a circular opening based on non-linear unified failure criterion 被引量:8
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作者 Chang-guang ZHANG Qing-he ZHANG +2 位作者 Jun-hai ZHAO Fei XU Chuang-zhou WU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2010年第2期71-79,共9页
Unified analytical solutions are presented for the predictions of the stresses and displacements around a circular opening based on nonqinear unified failure criterion and the elastic-brittle-plastic softening model. ... Unified analytical solutions are presented for the predictions of the stresses and displacements around a circular opening based on nonqinear unified failure criterion and the elastic-brittle-plastic softening model. Unified analytical solutions not only involve generally traditional solutions which are based on the Hock-Brown (H-B) failure criterion or the non-linear twin-shear failure criterion, but also involve other new results. The results of the radius of plastic zone, radial displacements and stresses are obviously different using three rock masses when different values of the unified failure criterion parameter or different material behavior models are used. For a given condition, the radius of plastic zone and radial displacements are reduced by increasing the unified failure criterion parameter. The latent potentialities of rock mass result from considering the effect of intermediate principal stress. It is shown that proper choices of the failure criterion and the material behavior model for rock mass are significant in the tunnel design. 展开更多
关键词 Analytical solution Elastic-brittle-plastic rock non-linear unified failure criterion Intermediate principal stress DILATANCY
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Extremum of second-order directional derivatives 被引量:1
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作者 LU Gui-xia WU Hao SHEN Long-jun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第4期379-389,共11页
In this paper, the extremum of second-order directional derivatives, i.e. the gradient of first-order derivatives is discussed. Given second-order directional derivatives in three nonparallel directions, or given seco... In this paper, the extremum of second-order directional derivatives, i.e. the gradient of first-order derivatives is discussed. Given second-order directional derivatives in three nonparallel directions, or given second-order directional derivatives and mixed directional derivatives in two nonparallel directions, the formulae for the extremum of second-order directional derivatives are derived, and the directions corresponding to maximum and minimum are perpendicular to each other. 展开更多
关键词 Finite point method second-order directional derivative extremum.
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ON THE HOLOMORPHIC SOLUTION OF NON-LINEAR TOTALLY CHARACTERISTIC EQUATIONS WITH SEVERAL SPACE VARIABLES 被引量:5
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作者 Chen Hua Luo Zhuangchu 《Acta Mathematica Scientia》 SCIE CSCD 2002年第3期393-403,共11页
In this paper the authors study a class of non-linear singular partial differential equation in complex domain C-_(t)×C_(x)^(n).Under certain assumptions,they prove the existence and uniqueness of holomorphic sol... In this paper the authors study a class of non-linear singular partial differential equation in complex domain C-_(t)×C_(x)^(n).Under certain assumptions,they prove the existence and uniqueness of holomorphic solution near origin of C-_(t)×C-_(x)^(n). 展开更多
关键词 non-linear singular partial differential equation holomorphic solution
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Analysis on membrane wrinkling using stress extremum method 被引量:1
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作者 李云良 鲁明宇 +1 位作者 谭惠丰 谭忆秋 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2012年第1期34-39,共6页
A stress extremum method is developed based on Von Karman equations for analysis of membrane wrinkles in this paper. A mechanical model is also established for analyzing shear membrane wrinkles. Expressions of wrinkli... A stress extremum method is developed based on Von Karman equations for analysis of membrane wrinkles in this paper. A mechanical model is also established for analyzing shear membrane wrinkles. Expressions of wrinkling wavelength,amplitude and angle are obtained in terms of the stress extremum method. A numerical analysis approach-directly disturbing method is proposed to analyze the configuration parameters of shear membrane wrinkles by introducing out-of-plane disturbing forces to trigger wrinkle formation,while it timely removes the applied forces in order to eliminate the effect of disturbing forces on analytical results. The simulation results agree well with analytical results,which demonstrate that the proposed approach is capable for analyzing the membrane wrinkles with good accuracy. 展开更多
关键词 MEMBRANE WRINKLE stress extremum method
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