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Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation 被引量:1
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作者 Beiping Duan Zhoushun Zheng Wen Cao 《American Journal of Computational Mathematics》 2015年第2期135-157,共23页
In this article, we consider a two-dimensional symmetric space-fractional diffusion equation in which the space fractional derivatives are defined in Riesz potential sense. The well-posed feature is guaranteed by ener... In this article, we consider a two-dimensional symmetric space-fractional diffusion equation in which the space fractional derivatives are defined in Riesz potential sense. The well-posed feature is guaranteed by energy inequality. To solve the diffusion equation, a fully discrete form is established by employing Crank-Nicolson technique in time and Galerkin finite element method in space. The stability and convergence are proved and the stiffness matrix is given analytically. Three numerical examples are given to confirm our theoretical analysis in which we find that even with the same initial condition, the classical and fractional diffusion equations perform differently but tend to be uniform diffusion at last. 展开更多
关键词 GALERKIN Finite Element method SYMMETRIC Space-Fractional Diffusion Equation Stability Convergence implementation
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Three-dimensional frequency-domain full waveform inversion based on the nearly-analytic discrete method 被引量:4
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作者 DeYao Zhang WenYong Pan +3 位作者 DingHui Yang LingYun Qiu XingPeng Dong WeiJuan Meng 《Earth and Planetary Physics》 CSCD 2021年第2期149-157,共9页
The nearly analytic discrete(NAD)method is a kind of finite difference method with advantages of high accuracy and stability.Previous studies have investigated the NAD method for simulating wave propagation in the tim... The nearly analytic discrete(NAD)method is a kind of finite difference method with advantages of high accuracy and stability.Previous studies have investigated the NAD method for simulating wave propagation in the time-domain.This study applies the NAD method to solving three-dimensional(3D)acoustic wave equations in the frequency-domain.This forward modeling approach is then used as the“engine”for implementing 3D frequency-domain full waveform inversion(FWI).In the numerical modeling experiments,synthetic examples are first given to show the superiority of the NAD method in forward modeling compared with traditional finite difference methods.Synthetic 3D frequency-domain FWI experiments are then carried out to examine the effectiveness of the proposed methods.The inversion results show that the NAD method is more suitable than traditional methods,in terms of computational cost and stability,for 3D frequency-domain FWI,and represents an effective approach for inversion of subsurface model structures. 展开更多
关键词 THREE-DIMENSION frequency-domain NAD method forward modeling full waveform inversion
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Acoustic viscoelastic modeling by frequency-domain boundary element method 被引量:1
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作者 Xizhu Guan Li-Yun Fu Weijia Sun 《Earthquake Science》 CSCD 2017年第2期97-105,共9页
Earth medium is not completely elastic, with its viscosity resulting in attenuation and dispersion of seismic waves. Most viscoelastic numerical simulations are based on the finite-difference and finite-element method... Earth medium is not completely elastic, with its viscosity resulting in attenuation and dispersion of seismic waves. Most viscoelastic numerical simulations are based on the finite-difference and finite-element methods. Targeted at viscoelastic numerical modeling for multilayered media, the constant-Q acoustic wave equation is transformed into the corresponding wave integral representation with its Green's function accounting for viscoelastic coefficients. An efficient alternative for full-waveform solution to the integral equation is proposed in this article by extending conventional frequency-domain boundary element methods to viscoelastic media. The viscoelastic boundary element method enjoys a distinct characteristic of the explicit use of boundary continuity conditions of displacement and traction, leading to a semi-analytical solution with sufficient accuracy for simulating the viscoelastic effect across irregular interfaces. Numerical experiments to study the viscoelastic absorption of different Q values demonstrate the accuracy and applicability of the method. 展开更多
关键词 Viscoelastic media Viscoelastic boundary element method frequency-domain implementation Viscoelastic numerical modeling
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Application of Frequency-Domain Waveform Inversion Method in Marmousi Shots Data
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作者 WANG Meng ZHANG Dong +2 位作者 YAO Di QIN Qianqing XU Lin 《Wuhan University Journal of Natural Sciences》 CAS 2012年第4期326-330,共5页
Frequency-domain waveform seismic tomography includes modeling of wave propagation and full waveform inversion of correcting the initial velocity model. In the forward modeling, we use direct solution based on sparse ... Frequency-domain waveform seismic tomography includes modeling of wave propagation and full waveform inversion of correcting the initial velocity model. In the forward modeling, we use direct solution based on sparse matrix factorization, combined with nine-point finite-difference for the linear system of equations. In the waveform inversion, we use preconditioned gradient method where the preconditioner is provided by the diagonal of the approximate Hessian matrix. We successfully applied waveform inversion method from low to high frequency in two sets of Marmousi data. One is the data set generated by frequencydomain finite-difference modeling, and the other is the original Marmousi shots data set. The former result is very close to the true velocity model. In the original shots data set inversion, we replace the prior source with estimated source; the result is also acceptable, and consistent with the true model. 展开更多
关键词 preconditioned gradient method frequency-domain waveform inversion Marmousi shots data
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A Generalized Non-Linear Flow Law Based on Modified Zerilli-Armstrong Model and Its Implementation into Abaqus/Explicit FEM Code
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作者 Pierre Tize Mha Amèvi Tongne Olivier Pantalé 《World Journal of Engineering and Technology》 2022年第2期334-362,共29页
Non-linear numerical modeling, widely used in research and development to understand many complex processes such as forming or machining, does not guarantee the success of a study to be performed. Indeed, the numerica... Non-linear numerical modeling, widely used in research and development to understand many complex processes such as forming or machining, does not guarantee the success of a study to be performed. Indeed, the numerical simulation uses finite element codes where the models already integrated are not based on shapes adjustable to any type of study. In this study, a new form of non-linear constitutive flow law based on the Modified Zerilli-Armstrong model, which can answer the above problem, has been developed to apply it to the numerical simulation of two different tests (a quasi-static compression test, the necking of a circular bar). This flow law is based on the modified Zerilli-Armstrong model, which, together with the new modified Johnson-Cook model, has been compared to appreciate the relevance of the proposal. For that, an implementation of this new law via the VUHARD subroutine into the Abaqus/Explicit finite element code was made to model the two tests. The comparison of the results obtained (from identification) by our proposed law with those obtained using the NMJC shows that this new law better approaches the experiments than the other one. This is also shown through the numerical results using the Abaqus software. It can be said that this way of formulating a flow law allows highlighting the great performance of the proposed approach. Although this law has been only used for quasi-static tests, we can say that it can also be used in dynamic tests. 展开更多
关键词 Zerilli-Armstrong Flow Law Constitutive Behavior Finite Element method Numerical implementation Johnson-Cook Flow Law
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Discussion on Secondary Operation Planning and Implementation in Box Culvert Jacking Construction of Existing Line
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作者 ZHANG Qi 《外文科技期刊数据库(文摘版)工程技术》 2021年第5期126-133,共12页
Secondary operation is one of the important means for enterprises to create efficiency. This paper expounds the overall planning of secondary operation of box culvert top input project of existing railway from five as... Secondary operation is one of the important means for enterprises to create efficiency. This paper expounds the overall planning of secondary operation of box culvert top input project of existing railway from five aspects, including contract judgment, poor construction drawing quantity, optimization of construction organization design and particularity of railway-related projects. Combined with the changes such as optimization of construction scheme of overhead system of busy trunk lines and lengthening of top project, it introduces the implementation of secondary operation in detail, clarifies the important factors affecting the effectiveness of secondary operation, and sums up the successful experience, which can provide reference for similar projects. 展开更多
关键词 secondary operation create benefits methodS PLAN implement
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The Implementation Countermeasures of Inquiry Teaching in High School Geography Teaching
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作者 DENGYajie 《外文科技期刊数据库(文摘版)教育科学》 2022年第1期089-092,共4页
The new curriculum standard clearly requires that teachers should focus on improving students' learning ability instead of merely imparting theoretical knowledge to students in classroom teaching. Inquiry teaching... The new curriculum standard clearly requires that teachers should focus on improving students' learning ability instead of merely imparting theoretical knowledge to students in classroom teaching. Inquiry teaching method is in line with the requirements of the new curriculum reform, and gradually becomes a major teaching method. Reasonable application of this method in high school geography teaching can cultivate students' strong interest in learning and achieve the purpose of cultivating students' comprehensive ability. This paper will elaborate on the specific measures and significance of applying inquiry-based teaching method in senior high school geography teaching, and the relevant views are for reference only. 展开更多
关键词 inquiry teaching method high school geography teaching implementing strategies significance of im
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3D anisotropic modeling and identification for airborne EM systems based on the spectral-element method 被引量:4
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作者 黄鑫 殷长春 +3 位作者 曹晓月 刘云鹤 张博 蔡晶 《Applied Geophysics》 SCIE CSCD 2017年第3期419-430,461,462,共14页
The airborne electromagnetic (AEM) method has a high sampling rate and survey flexibility. However, traditional numerical modeling approaches must use high-resolution physical grids to guarantee modeling accuracy, e... The airborne electromagnetic (AEM) method has a high sampling rate and survey flexibility. However, traditional numerical modeling approaches must use high-resolution physical grids to guarantee modeling accuracy, especially for complex geological structures such as anisotropic earth. This can lead to huge computational costs. To solve this problem, we propose a spectral-element (SE) method for 3D AEM anisotropic modeling, which combines the advantages of spectral and finite-element methods. Thus, the SE method has accuracy as high as that of the spectral method and the ability to model complex geology inherited from the finite-element method. The SE method can improve the modeling accuracy within discrete grids and reduce the dependence of modeling results on the grids. This helps achieve high-accuracy anisotropic AEM modeling. We first introduced a rotating tensor of anisotropic conductivity to Maxwell's equations and described the electrical field via SE basis functions based on GLL interpolation polynomials. We used the Galerkin weighted residual method to establish the linear equation system for the SE method, and we took a vertical magnetic dipole as the transmission source for our AEM modeling. We then applied fourth-order SE calculations with coarse physical grids to check the accuracy of our modeling results against a 1D semi-analytical solution for an anisotropic half-space model and verified the high accuracy of the SE. Moreover, we conducted AEM modeling for different anisotropic 3D abnormal bodies using two physical grid scales and three orders of SE to obtain the convergence conditions for different anisotropic abnormal bodies. Finally, we studied the identification of anisotropy for single anisotropic abnormal bodies, anisotropic surrounding rock, and single anisotropic abnormal body embedded in an anisotropic surrounding rock. This approach will play a key role in the inversion and interpretation of AEM data collected in regions with anisotropic geology. 展开更多
关键词 Spectral-element method ANISOTROPY frequency-domain AEM GLL interpolation basis function forward m odeling
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2.5D forward modeling and inversion of frequency-domain airborne electromagnetic data 被引量:1
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作者 李文奔 曾昭发 +3 位作者 李静 陈雄 王坤 夏昭 《Applied Geophysics》 SCIE CSCD 2016年第1期37-47,218,共12页
Frequency-domain airborne electromagnetics is a proven geophysical exploration method.Presently,the interpretation is mainly based on resistivity-depth imaging and onedimensional layered inversion;nevertheless,it is d... Frequency-domain airborne electromagnetics is a proven geophysical exploration method.Presently,the interpretation is mainly based on resistivity-depth imaging and onedimensional layered inversion;nevertheless,it is difficult to obtain satisfactory results for two- or three-dimensional complex earth structures using 1D methods.3D forward modeling and inversion can be used but are hampered by computational limitations because of the large number of data.Thus,we developed a 2.5D frequency-domain airborne electromagnetic forward modeling and inversion algorithm.To eliminate the source singularities in the numerical simulations,we split the fields into primary and secondary fields.The primary fields are calculated using homogeneous or layered models with analytical solutions,and the secondary(scattered) fields are solved by the finite-element method.The linear system of equations is solved by using the large-scale sparse matrix parallel direct solver,which greatly improves the computational efficiency.The inversion algorithm was based on damping leastsquares and singular value decomposition and combined the pseudo forward modeling and reciprocity principle to compute the Jacobian matrix.Synthetic and field data were used to test the effectiveness of the proposed method. 展开更多
关键词 frequency-domain airborne electromagnetic finite element method 2.5D geoelectric model damped least-squares method
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政务数据资产化建模方法研究与平台实现
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作者 明浩 《计算机应用文摘》 2026年第1期108-110,共3页
围绕政务数据资产化建模方法展开研究,并探讨其平台实现路径。首先,从政务数据的资产特性、权属原则等基础理论出发,梳理其资产化管理的核心要素。其次,提出一种基于维度建模的资产化方法,包括数据层次划分、指标体系设计等关键步骤。最... 围绕政务数据资产化建模方法展开研究,并探讨其平台实现路径。首先,从政务数据的资产特性、权属原则等基础理论出发,梳理其资产化管理的核心要素。其次,提出一种基于维度建模的资产化方法,包括数据层次划分、指标体系设计等关键步骤。最后,设计并介绍了政务数据资产化管理平台的架构与主要功能模块,旨在为推动政务数据的规范管理与价值转化提供有益的理论支持和技术参考。 展开更多
关键词 政务数据 数据资产化 建模方法 平台实现
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Three-dimensional land FD-CSEM forward modeling using edge finite-element method 被引量:3
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作者 LIU Jian-xin LIU Peng-mao TONG Xiao-zhong 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第1期131-140,共10页
A modeling tool for simulating three-dimensional land frequency-domain controlled-source electromagnetic surveys,based on a finite-element discretization of the Helmholtz equation for the electric fields,has been deve... A modeling tool for simulating three-dimensional land frequency-domain controlled-source electromagnetic surveys,based on a finite-element discretization of the Helmholtz equation for the electric fields,has been developed.The main difference between our modeling method and those previous works is edge finite-element approach applied to solving the three-dimensional land frequency-domain electromagnetic responses generated by horizontal electric dipole source.Firstly,the edge finite-element equation is formulated through the Galerkin method based on Helmholtz equation of the electric fields.Secondly,in order to check the validity of the modeling code,the numerical results are compared with the analytical solutions for a homogeneous half-space model.Finally,other three models are simulated with three-dimensional electromagnetic responses.The results indicate that the method can be applied for solving three-dimensional electromagnetic responses.The algorithm has been demonstrated,which can be effective to modeling the complex geo-electrical structures.This efficient algorithm will help to study the distribution laws of3-D land frequency-domain controlled-source electromagnetic responses and to setup basis for research of three-dimensional inversion. 展开更多
关键词 three-dimensional model frequency-domain electromagnetic method horizontal electric dipole forward modeling edge finite-element
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Frequency-domain analysis of fluid-structure interaction in aircraft hydraulic pipeline systems: numerical and experimental studies 被引量:3
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作者 Yang DENG Zongxia JIAO Yuanzhi XU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2024年第8期605-617,共13页
The fluid-structure interaction(FSI)in aircraft hydraulic pipeline systems is of great concern because of the damage it causes.To accurately predict the vibration characteristic of long hydraulic pipelines with curved... The fluid-structure interaction(FSI)in aircraft hydraulic pipeline systems is of great concern because of the damage it causes.To accurately predict the vibration characteristic of long hydraulic pipelines with curved segments,we studied the frequency-domain modeling and solution method for FSI in these pipeline systems.Fourteen partial differential equations(PDEs)are utilized to model the pipeline FSI,considering both frequency-dependent friction and bending-flexibility modification.To address the numerical instability encountered by the traditional transfer matrix method(TMM)in solving relatively complex pipelines,an improved TMM is proposed for solving the PDEs in the frequency domain,based on the matrix-stacking strategy and matrix representation of boundary conditions.The proposed FSI model and improved solution method are validated by numerical cases and experiments.An experimental rig of a practical hydraulic system,consisting of an aircraft engine-driven pump,a Z-shaped aero-hydraulic pipeline,and a throttle valve,was constructed for testing.The magnitude ratio of acceleration to pressure is introduced to evaluate the theoretical and experimental results,which indicate that the proposed model and solution method are effective in practical applications.The methodology presented in this paper can be used as an efficient approach for the vibrational design of aircraft hydraulic pipeline systems. 展开更多
关键词 Fluid-structure interaction(FSI) frequency-domain analysis Aircraft hydraulic pipeline Pipeline vibration Transfer matrix method(TMM)
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Methods for estimating rotational components of seismic ground motion and their numerical comparisons 被引量:1
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作者 Chang Chen Yun Wang +2 位作者 Yongxiang Wei Shuilong Li Qisheng Zhang 《Earthquake Science》 2020年第4期201-208,共8页
Rotational components play an important role in natural earthquake research,engineering seismic investigation,building monitoring,seismic exploration and other fields.Traditional researches mainly focus on three trans... Rotational components play an important role in natural earthquake research,engineering seismic investigation,building monitoring,seismic exploration and other fields.Traditional researches mainly focus on three translational components,but less on rotational ones.As the precision of rotational sensing techniques has increased,many scholars have paid more attention to the seismic rotational motions.Because the rotational observations are not very popular before and now,approximately converting the translational components into rotational components is utilized in rotation analysis.Based on numerical six-component seismic data with the finite difference method,we compare three different conversion methods,the travelling-wave,frequency-domain and the difference method,to analyze their characteristics and feasibilities when they are applied to estimate rotational components with translational observations. 展开更多
关键词 rotational components travelling-wave method frequency-domain method difference method
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Two Generic Frameworks of Multiple Viewpoints Oriented Requirements Method and Their Comparison
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作者 Song Qiang, He Yan xiang, Huang Qian School of Computer Science, State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China 《Wuhan University Journal of Natural Sciences》 CAS 2001年第Z1期313-319,共7页
Traditional requirements method has some problems when it is used for large distributed systems. Multiple viewpoints oriented requirements method (MVORM) is a new method for resolving these problems. This paper develo... Traditional requirements method has some problems when it is used for large distributed systems. Multiple viewpoints oriented requirements method (MVORM) is a new method for resolving these problems. This paper develops two generic formal frameworks of MVORM, framework based on refinement relation (FBRR) and framework based on implementation relation (FBIR). They are generic, because no assumptions are made about the development process or the formal description languages to be used. Three kinds of specification relations and three kinds of specification transformations are discussed over FBIR and FBRR. This paper also compares the equivalence between FBIR and FBRR. We point out that an equivalent FBIR can be found for any FBRR, but reverse transformation is not always possible. We think FBIR is better than FBRR on most cases. 展开更多
关键词 multiple viewpoints oriented requirements method framework based on refinement relation framework based on implementation relation refinement relation implementation relation
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New Refinement Relations of Z Specifications for Multiple Viewpoints Oriented Requirements Method
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作者 He Yan xiang, Song Qiang, Huang Qian School of Computer, State Key Laboratory of Software Engineering Wuhan University, Wuhan 430072, China 《Wuhan University Journal of Natural Sciences》 CAS 2001年第Z1期304-312,共9页
In this paper we develop several new refinement relations of Z for multiple viewpoints oriented requirements method (MVORM). The original motivation is that we found the standard Z refinement relation is not adequate ... In this paper we develop several new refinement relations of Z for multiple viewpoints oriented requirements method (MVORM). The original motivation is that we found the standard Z refinement relation is not adequate or correct when considering specifications that have temporal relationships of operations. The concept of temporal state variables is introduced into Z. Then new implementation relations are defined and new refinement relations are deduced, mainly for temporal state variables to process temporal relationships of operations. We use state transition systems to abstract the temporal state transitions. A simple example is used to show the procedures of MVORM. Finally some directions of further work are forwarded. 展开更多
关键词 temporal state variable formal description language state transition system implementation relation refinement relation multiple viewpoints oriented requirements method
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Discussion on the Importance and Realization Method of Time Synchronization of Various Control Systems in the Whole Plant of Chemical Plant
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作者 ZHANG Wenbin 《外文科技期刊数据库(文摘版)工程技术》 2021年第5期285-290,共10页
Most of the chemical plants that were put into production in earlier years did not install time synchronization servers or use signal transmission between systems for time synchronization, resulting in inconsistent ti... Most of the chemical plants that were put into production in earlier years did not install time synchronization servers or use signal transmission between systems for time synchronization, resulting in inconsistent time of various types of control systems in the chemical plants, and the time of controllers and operating stations of the systems themselves are not synchronized. This paper expounds the time status of various systems in chemical plants at the present stage, the importance of realizing plant-wide time synchronization and the realization method of time synchronization project. 展开更多
关键词 time synchronization various systems IMPORTANCE implementation method
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Research on Interactive and Exploratory Teaching Methods used in College English Courses
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作者 Yingxin Zhang 《Journal of Contemporary Educational Research》 2021年第5期51-55,共5页
This research is based on the implementation of interactive and exploratory teaching methods in college English courses.The analysis done for this research signifies the importance of interactive-exploratory teaching ... This research is based on the implementation of interactive and exploratory teaching methods in college English courses.The analysis done for this research signifies the importance of interactive-exploratory teaching methods,identifying the characteristics of interactive teaching methods,and specifying the purpose of conducting interactive-exploratory teaching methods as a reference for educators. 展开更多
关键词 College English courses Interactive-exploratory teaching methods implementation method
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Analysis of Anti-surge Control Method for Axial Flow Compressor
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作者 CHEN Hongxin CHEN Sishi 《外文科技期刊数据库(文摘版)工程技术》 2021年第6期417-418,共4页
With the continuous development of society, axial compressor has been more and more widely used in modern industry. The surge motion of axial compressor has gradually attracted people's attention. It is necessary ... With the continuous development of society, axial compressor has been more and more widely used in modern industry. The surge motion of axial compressor has gradually attracted people's attention. It is necessary to actively explore the anti surge control method of axial compressor. In this paper, the surge control method of fully static regulating axial compressor is analyzed, and the surge control of axial compressor is realized by using programmable controller, which solves the shortcomings of existing control methods, improves the operation condition and improves the efficiency of axial compressor. 展开更多
关键词 axial flow compressor anti-surge control method implementation
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混合方法研究系统综述在护理领域中的应用进展 被引量:1
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作者 王洋 顾艳荭 《循证护理》 2025年第13期2682-2686,共5页
综述混合方法研究系统综述的发展、优势、实施步骤及在国内外护理领域中的应用现状、存在的问题及启示,以期为护理人员运用混合方法研究系统综述提供参考。
关键词 混合方法研究系统综述 优势 实施步骤 护理 综述
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适合化学实验室的风险评估工具 被引量:1
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作者 杨玲 边磊 +3 位作者 王兴瑞 高增礼 赵浩 徐金荣 《实验与分析》 2025年第3期50-54,共5页
化学实验室风险评估是保障实验室安全的重要环节。评估工具对于风险评估的全面性、准确性和可执行性至关重要。针对高校和科研院所化学实验室风险特性,推荐了4种较为常见且易于掌握的风险评估工具,介绍了具体实施方法,并分析了各自优缺... 化学实验室风险评估是保障实验室安全的重要环节。评估工具对于风险评估的全面性、准确性和可执行性至关重要。针对高校和科研院所化学实验室风险特性,推荐了4种较为常见且易于掌握的风险评估工具,介绍了具体实施方法,并分析了各自优缺点及其适用场景。建议结合待评估实验类型和特点、风险评估的具体需求以及实验室条件和资源等,综合选择乃至组合或定制合适的风险评估工具。 展开更多
关键词 化学实验室 风险评估工具 实施方法 优缺点 适用场景
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