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分段函数与初等函数关系及表达的讨论与进展
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作者 石福寿 徐兆强 梁盛泉 《高等数学研究》 2016年第4期11-21,共11页
依据历史的延革、认知的进展,提出了关于初等函数的一个比较系统的概念;给出的限制域、存在域、定义域的概念,使函数的表达、相关的判断得以扩展,给出了分段函数初等性的一个简明的充分性判断;对于分段函数初等性主要的、广传的文献作... 依据历史的延革、认知的进展,提出了关于初等函数的一个比较系统的概念;给出的限制域、存在域、定义域的概念,使函数的表达、相关的判断得以扩展,给出了分段函数初等性的一个简明的充分性判断;对于分段函数初等性主要的、广传的文献作了综述与评析,指出了存在的与需要研讨的问题. 展开更多
关键词 限制域 存在域 有限分段函数 界点 初等性 石徐判断 统一解析表达式
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基于DSHW的液压管道动态特性仿真分析 被引量:2
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作者 李艳红 刘修泉 郁凯元 《机电工程技术》 2015年第4期43-46,71,共5页
首先介绍了液压管道模型,并建立了管道分布参数和有限分段集中参数数学模型,采用特征线法对分布参数模型进行求解,同时对管道粘性摩擦阻力进行了计算,将这两种模型算法引入液压系统动态仿真软件DSHW中。以水锤现象为仿真实例,采用DSHW... 首先介绍了液压管道模型,并建立了管道分布参数和有限分段集中参数数学模型,采用特征线法对分布参数模型进行求解,同时对管道粘性摩擦阻力进行了计算,将这两种模型算法引入液压系统动态仿真软件DSHW中。以水锤现象为仿真实例,采用DSHW软件分别对这两种管路模型进行仿真计算,分布参数模型虽然复杂,但是计算精度较高,分段集中参数计算精度较低,但模型较为简单,计算参数少。 展开更多
关键词 液压管道 分布参数 有限分段
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斜交薄壁箱梁的空间受力分析
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作者 黄羚 《石家庄铁道大学学报(自然科学版)》 1989年第4期97-103,共7页
本文采用有限分段变换法对斜交薄壁箱梁进行了空间受力分析。考虑到截面畸变中心、扭转中心,弯曲中心及翅曲零点的影响,并结合料交箱梁有机玻璃模型的实验,对该方法的可靠性及适用范围作出了评价,同时还对该方法编制了计算机程序SBCP—1... 本文采用有限分段变换法对斜交薄壁箱梁进行了空间受力分析。考虑到截面畸变中心、扭转中心,弯曲中心及翅曲零点的影响,并结合料交箱梁有机玻璃模型的实验,对该方法的可靠性及适用范围作出了评价,同时还对该方法编制了计算机程序SBCP—1,可在小型IBM计算机上完成。 展开更多
关键词 有限分段变换法 空间受力分析 斜交单元
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Progression of remnant gastric cancer is associated with duration of follow-up following distal gastrectomy 被引量:27
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作者 Shuhei Komatsu Daisuke Ichikawa +12 位作者 Kazuma Okamoto Daito Ikoma Masahiro Tsujiura Yukihisa Nishimura Yasutoshi Murayama Atsushi Shiozaki Hisashi Ikoma Yoshiaki Kuriu Masayoshi Nakanishi Hitoshi Fujiwara Toshiya Ochiai Yukihito Kokuba Eigo Otsuji 《World Journal of Gastroenterology》 SCIE CAS CSCD 2012年第22期2832-2836,共5页
AIM: TO re-evaluate the recent clinicopathological fea- tures of remnant gastric cancer (RGC) and to develop desirable surveillance programs.METHODS: Between 1997 and 2008, 1149 patients underwent gastrectomy for ... AIM: TO re-evaluate the recent clinicopathological fea- tures of remnant gastric cancer (RGC) and to develop desirable surveillance programs.METHODS: Between 1997 and 2008, 1149 patients underwent gastrectomy for gastric cancer at the Department of Digestive Surgery, Kyoto Prefectural Uni- versity of Medicine, Japan. Of these, 33 patients un- derwent gastrectomy with lymphadenectomy for RGC. Regarding the initial gastric disease, there were 19 patients with benign disease and 14 patients with gas- tric cancer. The hospital records of these patients were reviewed retrospectively. RESULTS: Concerning the initial gastric disease, the RGC group following gastric cancer had a shorter in- terval [P 〈 0.05; gastric cancer vs benign disease: 12 (2-22) vs 30 (4-51) years] and were more frequently reconstructed by Billroth- I procedure than those fol- lowing benign lesions (P 〈 0.001). Regarding recon- struction, RGC following Billroth-]_l reconstruction showed a longer interval between surgical procedures [P 〈 0.001; Billroth-11 vs Billroth- I : 32 (5-51) vs 12 (2-36) years] and tumors were more frequently associated with benign disease (P 〈 0.001) than those following Billroth- I reconstruction. In tumor location of RGC, after Billroth- I reconstruction, RGC occurred more fre- quently near the suture line and remnant gastric wall. After Billroth- 1I reconstruction, RGC occurred more fre- quently at the anastomotic site. The duration of follow- up was significantly associated with the stage of RGC (P 〈 0.05). Patients diagnosed with early stage RGC such as stage Ⅰ-Ⅱ tended to have been followed up almost every second year. CONCLUSION: Meticulous follow-up examination and early detection of RGC might lead to a better prognosis. Based on the initial gastric disease and the procedure of reconstruction, an appropriate follow-up interval and programs might enable early detection of RGC. 展开更多
关键词 Remnant gastric cancer SURVEILLANCE Fol-low-up Reconstruction Distal gastrectomy
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Wideband dipole logging based on segmen linear frequency modulation excitation 被引量:1
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作者 Cao Xue-Shen Chen Hao +3 位作者 Li Ping He Hong-Bin Zhou Yin-Qiu Wang XJu-Ming 《Applied Geophysics》 SCIE CSCD 2018年第2期197-207,362,共12页
A wideband dipole signal is required for dipole dispersion correction and nearborehole imaging. To obtain the broadband flexural wave dispersion, we use a nonlinear frequency modulation (NLFM) signal and propose a s... A wideband dipole signal is required for dipole dispersion correction and nearborehole imaging. To obtain the broadband flexural wave dispersion, we use a nonlinear frequency modulation (NLFM) signal and propose a segment linear frequency modulation (SLFM) signal as the dipole excitation signal to compensate for the excitation intensity. The signal-to-noise ratio (SNR) of the signal over the entire frequency band is increased. The finite-difference method is used to simulate the responses from a Ricker wavelet, a linear frequency modulation (LFM) signal, an NLFM signal, and an SLFM signal in two borehole models of a homogeneously hard formation and a radially stratified formation. The dispersion and radial tomography results at low SNR of the sound source signals are compared. Numerical modeling suggests that the energy of the flexural waves excited by the Ricker wavelet source is concentrated near the Airy phase. In this case, the dispersion is incomplete and information regarding the formation near or far from the borehole cannot be obtained. The LFM signal yields dispersion information near the Airy phase and the high-frequency range but not in the low-frequency range. Moreover, the information regarding the formation far from the borehole is not accurate. The NLFM signal extends the frequency range of the flexural waves by compensating for the excitation intensity and yields information regarding the formation information, but it is not easy to obtain. The SLFM signal yields the same results as the NLFM signal and is easier to implement. Consequently, the dipole detection range expands and the S-wave velocity calculation accuracy improves. 展开更多
关键词 Dipole acoustic logging DISPERSION frequency modulation finite difference
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Finite element analysis on impact of foundation treatment in bridgehead transition section upon bridge piles
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作者 ZHENG Wei DU Lizhi WANG Yong 《Global Geology》 2011年第4期254-258,共5页
In order to decrease relative settlement, foundation treatment plays an extremely important role in bridgehead transition section, especially, the situation of building the bridge piles firstly, and then processing pi... In order to decrease relative settlement, foundation treatment plays an extremely important role in bridgehead transition section, especially, the situation of building the bridge piles firstly, and then processing piles. On the basis of engineering practice, the authors analyzed the influence of foundation treatment on bridge piles in bridgehead transition section by finite-element method (FEM). This research has positive significance in predicting displacement of bridge pile, directing construction of foundation treatment, and improving quality of engineering and so forth. 展开更多
关键词 foundation treatment finite element analysis bridge pile bridgehead transition section
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Comparative Analysis of Bridges with AASHTO and Florida I-Beam Girders
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作者 Peng Keke Fikret Necati Catbas 《Journal of Civil Engineering and Architecture》 2014年第2期151-159,共9页
A comparative study of two pre-stressed girder bridges, one with AASHTO (American Association of State Highway and Transportation Officials) Type III girders and the other with new FIB (Florida l-beam) girders, is... A comparative study of two pre-stressed girder bridges, one with AASHTO (American Association of State Highway and Transportation Officials) Type III girders and the other with new FIB (Florida l-beam) girders, is presented. FIB girders are expected to provide increased lateral stiffness, higher load carrying capacity, cost-efficiency and better reliability. In this paper, the first bridge that is analyzed is a 3-span bridge designed with six AASHTO Type III girders, and the second bridge has four FIB girders with the same span length, width and girder depth. The bridges are analyzed for Florida state legal loads SU4 and C5. Both bridges are analyzed using a sophisticated finite element method. The deflections, moment envelopes, section capacity and live load rating of the two bridges are obtained and compared. FIB girders have higher vertical stiffness, higher section capacity providing higher load rating than the AASHTO girders. 展开更多
关键词 Florida I-beam girders AASHTO Type IIl girders DEFLECTION capacity load rating finite element analysis.
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New mixed finite elements for plane elasticity and Stokes equations 被引量:4
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作者 XIE XiaoPing XU JinChao 《Science China Mathematics》 SCIE 2011年第7期1499-1519,共21页
We consider mixed finite elements for the plane elasticity system and the Stokes equation. For the unmodified Hellinger-Reissner formulation of elasticity in which the stress and displacement fields are the primary un... We consider mixed finite elements for the plane elasticity system and the Stokes equation. For the unmodified Hellinger-Reissner formulation of elasticity in which the stress and displacement fields are the primary unknowns, we derive two new nonconforming mixed finite elements of triangle type. Both elements use piecewise rigid motions to approximate the displacement and piecewise polynomial functions to approximate the stress, where no vertex degrees of freedom are involved. The two stress finite element spaces consist respectively of piecewise quadratic polynomials and piecewise cubic polynomials such that the divergence of each space restricted to a single simplex is contained in the corresponding displacement approximation space. We derive stability and optimal order approximation for the elements. We also give some numerical results to verify the theoretical results. For the Stokes equation, introducing the symmetric part of the gradient tensor of the velocity as a stress variable, we present a stress-velocity-pressure field Stokes system. We use some plane elasticity mixed finite elements, including the two elements we proposed, to approximate the stress and velocity fields, and use continuous piecewise polynomial functions to approximate the pressure with the gradient of the pressure approximation being in the corresponding velocity finite element spaces. We derive stability and convergence for these methods. 展开更多
关键词 mixed finite element NONCONFORMING ELASTICITY Stokes equation
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A divergence-free weak Galerkin method for quasi-Newtonian Stokes flows 被引量:4
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作者 ZHENG XiaoBo CHEN Gang XIE XiaoPing 《Science China Mathematics》 SCIE CSCD 2017年第8期1515-1528,共14页
This paper proposes a weak Galerkin finite element method to solve incompressible quasi-Newtonian Stokes equations. We use piecewise polynomials of degrees k + 1(k 0) and k for the velocity and pressure in the interio... This paper proposes a weak Galerkin finite element method to solve incompressible quasi-Newtonian Stokes equations. We use piecewise polynomials of degrees k + 1(k 0) and k for the velocity and pressure in the interior of elements, respectively, and piecewise polynomials of degrees k and k + 1 for the boundary parts of the velocity and pressure, respectively. Wellposedness of the discrete scheme is established. The method yields a globally divergence-free velocity approximation. Optimal priori error estimates are derived for the velocity gradient and pressure approximations. Numerical results are provided to confirm the theoretical results. 展开更多
关键词 quasi-Newtonian Stokes equation weak Galerkin method DIVERGENCE-FREE optimal error estimate
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Extrapolation cascadic multigrid method on piecewise uniform grid 被引量:3
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作者 CHEN ChuanMiao HU HongLing 《Science China Mathematics》 SCIE 2013年第12期2711-2722,共12页
The triangular linear finite elements on piecewise uniform grid for an elliptic problem in convex polygonal domain are discussed. Global superconvergence in discrete Hi-norm and global extrapolation in discrete L2-nor... The triangular linear finite elements on piecewise uniform grid for an elliptic problem in convex polygonal domain are discussed. Global superconvergence in discrete Hi-norm and global extrapolation in discrete L2-norm are proved. Based on these global estimates the conjugate gradient method (CG) is effective, which is applied to extrapolation cascadic multigrid method (EXCMG). The numerical experiments show that EXCMG is of the global higher accuracy for both function and gradient. 展开更多
关键词 linear finite element piecewise uniform grid SUPERCONVERGENCE EXTRAPOLATION extrapolation cas-cadic multigrid method
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Superconvergence of RT1 mixed finite element approximations for elliptic control problems 被引量:4
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作者 HOU TianLiang CHEN YanPing 《Science China Mathematics》 SCIE 2013年第2期267-281,共15页
In this paper,we investigate the superconvergence property of the numerical solution to a quadratic elliptic control problem by using mixed finite element methods.The state and co-state are approximated by the order k... In this paper,we investigate the superconvergence property of the numerical solution to a quadratic elliptic control problem by using mixed finite element methods.The state and co-state are approximated by the order k=1 Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions.We prove the superconvergence error estimate of h3/2 in L2-norm between the approximated solution and the average L2 projection of the control.Moreover,by the postprocessing technique,a quadratic superconvergence result of the control is derived. 展开更多
关键词 elliptic equations optimal control problems SUPERCONVERGENCE mixed finite element methods POSTPROCESSING
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