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用设元法求三角值
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作者 郭扎英 孙春生 《中学数学教学》 2011年第2期43-44,共2页
求三角函数中代数式的值或范吲,是我们学习的一个重点内容,也是各类考试考查的重要知识点.对于大多数求值题而言,一般是本着化异名函数为同名函数,化异角为同角,通过已知条件,利用同角三角函数关系或两角和与差的三角函数关系求... 求三角函数中代数式的值或范吲,是我们学习的一个重点内容,也是各类考试考查的重要知识点.对于大多数求值题而言,一般是本着化异名函数为同名函数,化异角为同角,通过已知条件,利用同角三角函数关系或两角和与差的三角函数关系求出.但有时将所求的代数式设元为t,然后结合已知条件灵活运用所设式,从而求出t的值。这种设元法往往能起到明晰思路,简化运算,出奇制胜的效果. 展开更多
关键词 三角函数 设元法 代数式的值 已知条件 函数关系 简化运算 出奇制胜 求值题
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一道应用题的十种设元法
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作者 杨再发 《初中生辅导》 2011年第2期44-49,共6页
题目:一辆客车和一辆货车同时从甲、乙两城沿同一条公路相向而行,相遇时货车比客车多行120千米,相遇后客车再经过9小时到达乙城,货车再经过4小时达到城甲,求两车的速度分别为多少?甲、乙两城之间的路程是多少?
关键词 设元法 应用题 货车 客车 速度 路程
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利用“对称设元法”巧求一类“不对称”代数式的值
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作者 刘黎铭 《中学数学月刊》 2001年第2期40-40,共1页
关键词 “对称设元法 代数式 求值问题 初中 数学 竞赛题 解法
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例谈设元法解题
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作者 吕永红 《初中数学教与学》 2007年第6期15-16,共2页
设元是解题的常用方法,通过设元可以沟通条件和结论之间的联系,为开辟解题途径架起桥梁.那么,对于具体问题,如何设元,则须根据题目的结构和特征来决定.下面介绍几种设元的方法.
关键词 解题途径 设元法 常用方法 桥梁 结构
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解数字应用题的常用设元法
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作者 林伟杰 《初中生必读》 2014年第7期51-52,共2页
对于数字问题的应用题,若能合理设元,则可简捷求解.现结合实例介绍几种设元方法,供同学们参考.
关键词 应用题 设元法 数字问题 元方法 同学
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设元巧算,事半功倍
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作者 潘建明 《初中生数学学习(初一版)》 2004年第7期80-81,共2页
关键词 计算题 设元法 初中 数学 解法
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巧设元 妙解题
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作者 王慧婕 《试题与研究(教学论坛)》 2019年第12期74-74,共1页
我们知道’列二元一次方程组解实际问题的关键是设出未 知数’列出方程组。针对具体问题,采用不同的设元方法,可以 使问题得到巧妙解决。
关键词 设元法 解题
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Dynamic analysis and optimization of car's body-in-white based on superelement approach 被引量:3
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作者 张建润 孙庆鸿 陈南 《Journal of Southeast University(English Edition)》 EI CAS 2004年第3期324-327,共4页
An approach based on the superelement theory is proposed, and it is applied to model the car's body-in-white as well as to dynamic simulation and optimization. This approach can improve the calculation speed and d... An approach based on the superelement theory is proposed, and it is applied to model the car's body-in-white as well as to dynamic simulation and optimization. This approach can improve the calculation speed and do the dynamic optimization among substructures respectively in the car's body design. To meet the car's design of harshness, a dynamic optimal design model, based on the mean square of vertical displacement response at two points of the car floor, is proposed. Satisfactory results are achieved. 展开更多
关键词 Finite element method Mathematical models OPTIMIZATION Structural design
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OPTIMAL DESIGN OF DUAL STATOR-WINDING INDUCTION GENERATOR WITH PWM CONVERTER 被引量:2
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作者 刘陵顺 胡育文 黄文新 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2006年第3期185-193,共9页
To minimize the reactive power of the converter of the control winding in the novel dual stator-winding induction generator based on the PWM converter, design features of the induction generator with a rectified load ... To minimize the reactive power of the converter of the control winding in the novel dual stator-winding induction generator based on the PWM converter, design features of the induction generator with a rectified load are proposed. The optimization method of excited capacitors to minimize the reactive power of the control winding at a variable speed is given. The calculation capacity of the machine with a diode bridge rectifier load is proposed. To achieve global searching, the integrated method with the improved real-coded genetic algorithm and the twodimensional finite element method (FEM) is introduced. Design results of the sample show that reactive power can be reduced by the method, and the converter capacity can be decreased to 1/3 of output rated power at the speed ratio of 1 : 3, thus reducing the volume and the mass of the inverter. 展开更多
关键词 dual stator-winding induction generator variable speed PWM converter genetic algorithm FEM optimal design
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解函数方程的若干初等方法
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作者 赵伟 《中学数学月刊》 2004年第6期29-31,共3页
关键词 函数方程 解题方法 设元法 凑配法 中学 数学
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拓宽思路 一题多变多证
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作者 眭江闽 《福建中学数学》 2003年第8期31-33,共3页
关键词 一题多解 数学 初中 设元法 几何题 解法 勾股定理 数形结合 割补法 变式练习
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求方阵逆阵的他法
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作者 沈良生 《安庆师范学院学报(自然科学版)》 2001年第2期99-100,共2页
给出求方阵逆阵的四种方法。即重要结论法和化积法、设元法、零化子块法。
关键词 方阵 逆阵 重要结论法 和化积法 设元法 零化子块法
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NUMERICAL SIMULATION AND PARAMETRIC OPTIMIZATION FOR MULTI-STAND ROLL-FORMING
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作者 郭烈恩 赵亚莉 涂文斌 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2009年第1期16-22,共7页
Flat metal strips are deformed progressively into profiles with certain geometry sections by a series of successive rotating rolls at the room temperature, and it is called the cold roll-forming. An effective method i... Flat metal strips are deformed progressively into profiles with certain geometry sections by a series of successive rotating rolls at the room temperature, and it is called the cold roll-forming. An effective method is given for roll design to avoid major defects via finite element method (FEM) simulation using a booting model. The simulation gives reasonable fit to the actual product in the two major roll-forming defects, i.e. , edge wave and springback. The redesigned rolls using the approach of multi-stand FEM simulation can effectively control these two defects. 展开更多
关键词 finite element method(FEM) optimization design roll-forming
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寻找相似三角形教学的突破口
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作者 夏王虎 《湖州师范学院学报》 2001年第S1期35-37,共3页
通过寻找一种有效的教学方法,使学生能较顺利地掌握教学内容.方法是:化难为易,深入浅出,将抽象的内容具体化.结果符合学生的认知规律,学生掌握较好,从而说明教学方法的研究有利于促进教学质量的提高.
关键词 比值设元法 相似三角形的基本图形 分离变换
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盯住目标 少走弯路
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作者 吴永 《中学语数外(初中版)》 2004年第8期18-19,共2页
设元解题是我们常用的解题技巧,不过在不少同学中普遍存在这样一个误区,那就是有设必求,其实在很多场合下,所设的元不一定非要求出不可,因为有时设元只是为解题目标铺路搭桥的,下面举例说明:
关键词 设元法 解题技巧 初中 数学 竞赛辅导 应用题
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整体思维解题妙法
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作者 阮玉国 《中学理科(高考导航)》 2004年第10期38-40,共3页
关键词 整体思维 整体设元法 解题方法 高中 数学
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PREPROCESSING AND POSTPROCESSING SYSTEM FOR FINITE ELEMENT COMPUTATION
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作者 李俊 潘梅园 陈钟鸣 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1998年第2期108-112,共5页
This paper discusses some aspects of finite element computation,such as the automatic generation of finite element ,refinement of mesh,process of node density, distribution of load,optimum design and the drawing o... This paper discusses some aspects of finite element computation,such as the automatic generation of finite element ,refinement of mesh,process of node density, distribution of load,optimum design and the drawing of stress contour, and describes the developing process of software for a planar 8 node element. 展开更多
关键词 finite element method optimum design stress CONTOUR preprocessing and post processing load distribution
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Resistance optimization of flexes in aluminum reduction cells 被引量:1
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作者 李劼 刘杰 +3 位作者 刘伟 赖延清 王志刚 伍玉云 《Journal of Central South University of Technology》 EI 2008年第1期20-24,共5页
The resistance arrangements of the flexes connecting with the cathode bus bar in aluminum reduction cells were generalized as three modes. In each mode the universal method to select proper resistivity of the flexes w... The resistance arrangements of the flexes connecting with the cathode bus bar in aluminum reduction cells were generalized as three modes. In each mode the universal method to select proper resistivity of the flexes was induced respectively to insure that the current in local group of flexes was equal. Furthermore, a 350 kA aluminum reduction cell based electric field model was developed by finite element method to evaluate the effect of the method. Suggestions on selection of three modes were also put forward. The results show that the methods of resistance optimization can reduce the current variation about 180 A compared with that in original case. 展开更多
关键词 bus bar design aluminum reduction cell electric field finite element method
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A case study of seismic response of earth embankment foundation on liquefiable soils 被引量:4
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作者 黄雨 YASHIMA A +1 位作者 SAWADA K 张锋 《Journal of Central South University》 SCIE EI CAS 2009年第6期994-1000,共7页
A case study of seismic response of an earth embankment foundation on liquefiable soils in Kansai area,western Japan was presented. Based on a calibrated cyclic elasto-plastic constitutive model for liquefiable sand a... A case study of seismic response of an earth embankment foundation on liquefiable soils in Kansai area,western Japan was presented. Based on a calibrated cyclic elasto-plastic constitutive model for liquefiable sand and Biot dynamic coupled theory,the seismic analysis was carried out by using a dynamic effective stress finite element method under plane strain condition. A recent design study was illustrated in detail for a river earth embankment subjected to seismic excitation on the saturated deposits with liquefiable sands. Simulated results of the embankment foundation during liquefaction were obtained for acceleration,displacement,and excess pore water pressures,which were considered to yield useful results for earthquake geotechnical design. The results show that the foundation soil reaches a fully liquefied state with high excess pore pressure ratios approaching to 1.0 due to the earthquake shaking. At the end of the earthquake,the extensive liquefaction causes about 1.0 m lateral spreading at the toe and 60 cm settlement at the crest of the earth embankment. 展开更多
关键词 earth embankment earthquake liquefaction cyclic plasticity finite element method case study
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Study on anti-faulting design process of Urumqi subway line 2 tunnel crossing reverse fault 被引量:7
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作者 An Shao Tao Lianjin Bian Jin 《Journal of Southeast University(English Edition)》 EI CAS 2020年第4期425-435,共11页
For the tunnel crossing active fault,the damage induced by fault movement is always serious.To solve such a problem,a detailed anti-faulting tunnel design process for Urumqi subway line 2 was introduced,and seven thre... For the tunnel crossing active fault,the damage induced by fault movement is always serious.To solve such a problem,a detailed anti-faulting tunnel design process for Urumqi subway line 2 was introduced,and seven three-dimensional elastic-plastic finite element models were established.The anti-faulting design process included three steps.First,the damage of tunnel lining from different locations of fault rupture surfaces was analyzed.Then,the analysis of the effect on tunnel buried depth was given.Finally,the effect of the disaster mitigation method on the flexible joint was verified and the location of the flexible joint was discussed.The results show that when the properties of surrounding rock at the tunnel bottom grows soft,the tunnel deformation curve is smoother and tunnel damage induced by fault movement is less serious.The vertical displacement change ratio of secondary linings along the tunnel axis may be the main factor to cause shear damage to the tunnel.The interface between the hanging wall and fracture zone is defined as the most adverse fault rupture surface.The tunnel damage was reduced with the decrease in the tunnel buried depth as more energy was dissipated by overburden soil and the differential uplift zone of soil became more diffuse.The method of the flexible joint can reduce the tunnel damage significantly and the disaster mitigation effect of different locations on the flexible joint is different.The tunnel damage is reduced by the greatest degree when the flexible joint is located on the fault rupture surface. 展开更多
关键词 subway tunnel finite element method anti-faulting design process fault rupture surface buried depth flexible joint
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