959 resultados para matematik årskurs 4-6


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《物理力学讲义(新世纪版)》第1章绪论阐明了物力学的内容、观点和方法,第2、第3、第4章是基础原理,第5章到第9章分别处理气体、固体的液体的热力学性质,说明了从分子结构计算宏观性质的方法,第10章到第13章处理各种输运过程,像热传导、粘滞性、扩散、中子慢化及热辐射等。
《物理力学讲义(新世纪版)》的特点是给出了明确具体而切实可行的计算方法,使得工程介质和材料的热力学性质可以不完全依靠实验就能确定。
物理力学是一门新兴的学科,它从物质的微观结构出发。提供计算机工程技术和所用介质和材料的热力学性质的方法。

目录
第1章 绪论
1.1 什么是物理力学?
1.2 物质的结构
1.3 原子半径与分子结构
1.4 物质结构概念的应用
第2章 量子力学
2.1 薛定谔波动方程
2.2 振幅方程
2.3 波函数的物理意义
2.4 谐振子
2.5 点粒子的体系
2.6 氢原子
2.7 自由粒子
2.8 氢原子的内部动力学
2.9 类氢原子的能级
2.10 电子自旋
2.11 分子能级的分类
2.12 分子的波动方程
2.13 双原子分子
2.14 U(r)的性质
2.15 刚性线转子的简单势
2.16 莫尔斯势
2.17 多原子分子
第3章 统计力学基础
 3.1 体系的系集
 3.2 关于微观性质的准备知识
 3.3 一个系集状态的一般性质
 3.4 关于平均的规则
 3.5 一个经典系集的描写
 3.6 可及性(主要是经典部分)
 3.7 关于相似体系的系集的可及态对称群和反对称群
 3.8 关于真实系集本征函数的对称类型
 3.9 计算普通系集可及态的捷径
 3.10 关于定域系配容的计算
第4章 恒定体系系集的一般原理
 4.1 权重
 4.2 几个简单体系的状态的权重
 4.3 可及态(配容)的计算
 4.4 两组定域线性振子的系集
 4.5 最陡下降法的简单描述
 4.6 平均值和统计温标
 4.7 多自由度体系及退化体系
 4.8 线性谐振子
 4.9 二维及三维谐振子
 4.10 没有轴自旋的刚性转子
 4.11 有绕轴自旋的刚性转子(对称陀螺)
 4.12 两组非定域系组成的系集
 4.13 数学推导
 4.14 结果之摘要
 4.15 退化体系
 4.16 经典统计力学
 4.17 无结构质点在盒子中的运动
 4.18 系集的外作用力
 4.19 统计力学与热力学之间的关系
……
第5章 理想气体
第6章 固体的热学性质
第7章 固体的物态方程
第8章 非理想气体
第9章 液体和稠密气体
第10章 输运过程的一般理论
第11章 粘滞性,扩散和热传导
第12章 中子的扩散和减速
第13章 热辐射
附录 物理常数表
编后记

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全书以命令行方式通过大量教学实例和工程应用实例,介绍了建立模型、求解和结果后处理的全过程。

目 录

前言

第1篇教学实例篇

第1章简单拉压杆结构

1.1铰接杆在外力作用下的变形

1.2人字形屋架的静力分析

1.3超静定拉压杆的反力计算

1.4平行杆件与刚性梁连接的热应力问题

1.5端部有间隙的杆的热膨胀

第2章梁的弯曲问题

2.1等截面简单超静定梁的平面弯曲分析

2.2工字形截面外伸梁的平面弯曲

2.3矩形截面梁的纵横弯曲分析

2.4悬臂梁的双向弯曲

2.5 圆形截面悬臂杆的弯扭组合变形

2.6悬臂等强度梁的弯曲

2.7弹性地基半无限长梁在端部力和力偶作用下的变形

2.8偏心受压杆的大变形分析

第3章杆系稳定性计算

3.1利用梁单元计算压杆稳定性

3.2利用实体单元计算压杆稳定性

3.3悬臂压杆的过曲屈分析

3.4平面钢架的平面外失稳

第4章实体模型应力分析

4.1 均布荷载作用下深梁的变形和应力

4.2一对集中力作用下的圆环

4.3用实体单元分析变截面杆的拉伸

4.4用二维实体单元分析等截面悬臂梁的平面弯曲

4.5变截面悬臂梁在端部集中力作用下的平面静力分析

4.6纯弯曲悬臂曲梁的二维静力分析

4.7端部集中力作用的悬臂圆环曲梁平面弯曲的三维分析

4.8均匀拉力作用下含圆孔板的孔边应力集中

4.9两端固定的厚壁管道在自重作用下的变形和应力

第5章膜和薄壳问题

5.1含椭圆孔的椭圆薄膜在外部张力作用下的静力分析

5.2圆形薄膜大变形静力分析

5.3柱形容器在内压作用下的静力分析

5.4圆柱形薄壳在均匀内压作用下的静力分析

第6章板的弯曲和壳体计算

6.1简支和固支圆板的在不同荷载作用下的弯曲

6.2悬臂长板的大挠度弯曲

6.3用壳体单元分析受均布荷载作用的固支圆板大挠度弯曲

6.4利用拉伸操作建立膨胀弯管模型

6.5两端简支开口柱壳在自重作用下的静力分析

6.6圆筒在一对横向集中力作用下的变形

6.7两边简支开口柱壳在集中力作用下的大变形曲屈

第7章简单振动系统

7.1单自由度弹簧质量系统的频率计算

7.2悬索自由振动的频率

7.3用弹簧单元连接的圆盘的扭转振动

7.4圆杆连接圆盘的扭转振动

7.5钻杆的扭转自由振动

第8章梁的振动分析

8.1简支梁的自振频率计算

8.2 自由―自由梁的纵向自由振动

8.3有轴向压力作用的简支梁的自由振动

8.4用壳体单元计算悬臂等强度梁的自由振动

8.5矩形截面薄壁悬臂梁的自由振动

第9章膜板和实体振动

9.1 圆形张紧薄膜的自由振动

9.2薄膜二维非轴对称自由振动分析

9.3薄膜三维非轴对称振动分析

9.4悬臂长板的自由振动频率

9.5悬臂宽板的模态分析

9.6固支圆板的自由振动

9.7用实体单元分析圆环的振动

9.8机翼模型的振动分析

第1 0章平面建模分析和三维实体建模

10.1 带三个圆孔的平面支座分析

10.2角支座应力分析

10.3 体斜支座的实体建模

10.4四分之一车轮的实体建模

10.5轴承支座的实体建模

第1 1章最优化设计

11.1概述

11.2最优化问题框架

11.3 ANSYS优化设计流程

11.4变截面悬臂梁的外形形状优化

11.5平面刚架的优化设计

第12章层合板和断裂力学

12.1 四边简支方形层合板在均布外载作用下的变形

12.2均布拉力作用下含裂纹板的应力强度因子计算

第2篇工程应用篇

第13章用APDL实现空间网壳结构参数化建模

13.1 K系列球面网壳结构的特点和建模

13.1.1 K系列球面网壳的特点

13.1.2几何描述

13.1.3杆件连接关系

13.2参数化设计语言APDL介绍

13.2.1参数和表达式

13.2.2 ANSYS 中的基本指令

13.2.3分支和循环

13.3用户界面设计语言UIDL介绍

13.3.1 单行参数输入

13.3.2多行参数输入

13.4网壳建模程序设计

13.4.1模型建立的步骤

13.4.2节点坐标计算

13.4.3单元连接

13.4.4变量说明

13.4.5节点坐标计算公式

13.4.6主框图说明

13.4.7单元连接关系定义

13.4.8源程序

13.5程序使用说明

13.5.1加载程序

13.5.2界面说明

13.5.3注意事项

13.6应用举例

13.6.1基本参数

13.6.2输入数据并生成模型

13.6.3输入单元参数和荷载后开始计算

13.6.4选择结果输出方式

第14章塔式起重机静动力分析

14.1塔式起重机基本概念

14.2塔式起重机拓扑模型

14.3塔机模型受力分析

14.3.1部件受力特征分析

14.3.2截面参数定义

14.3.3自重荷载和配重

14.3.4选用合适的分析模型。

14.3.5 固定塔身底部的4个节点

14.4塔机建模程序设计

14.4.1塔身节点计算和单元连接

14.4.2塔顶建模

14.4.3塔臂建模

14.4.4平衡臂和斜拉索建模

14.5塔机静力分析

14.6塔机模态分析

14.7塔机静动力分析程序

第15章长柱形天然气罐在内压作用下的静力分析

15.1概述

15.2建立模型

15.3利用轴对称壳单元SHELL51计算

15.3.1单元基本性质和约定

15.3.2求解过程

15.3.3源程序

15.3.4计算结果

15.3.5简体部分理论解

15.3.6结果讨论

15.4利用8节点2D实体单元PLANE82单元计算

15.4.1建立模型

15.4.2计算过程

15.4.3计算结果及讨论

15.4.4源程序

15.5用20节点3D实体单元solid95计算1/4模型

15.5.1建立1/4三维模型

15.5.2计算步骤

15.5.3计算结果分析

15.5.4与弹性力学解答的对比

15.5.5计算程序

附录

附录A常用结构单元参考

附录B结构分析命令速查

参考文献

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Larval kelp (Sebastes atrovirens), brown (S. auriculatus), and blackand-yellow (S. chrysomelas) rockfish were reared from known adults, to preflexion stage, nine days after birth for S. chrysomelas, to late postflexion stage for S. atrovirens, and to pelagic juvenile stage for S. auriculatus. Larval S. atrovirens and S. chrysomelas were about 4.6 mm body length (BL) and S. auriculatus about 5.2 mm BL at birth. Both S. atrovirens and S. auriculatus underwent notochord flexion at about 6–9 mm BL. Sebastes atrovirens transform to the pelagic juvenile stage at about 14–16 mm BL and S. auriculatus transformed at ca. 25 mm BL. Early larvae of all three species were characterized by melanistic pigment dorsally on the head, on the gut, on most of the ventral margin of the tail, and in a long series on the dorsal margin of the tail. Larval S. atrovirens and S. auriculatus developed a posterior bar on the tail during the flexion or postflexion stage. In S. atrovirens xanthic pigment resembled the melanistic pattern throughout larval development. Larval S. auriculatus lacked xanthophores except on the head until late preflexion stage, when a pattern much like the melanophore pattern gradually developed. Larval S. chrysomelas had extensive xanthic pigmentation dorsally, but none ventrally, in preflexion stage. All members of the Sebastes subgenus Pteropodus (S. atrovirens, S. auriculatus, S. carnatus, S. caurinus, S. chrysomelas, S. dalli, S. maliger, S. nebulosus, S. rastrelliger) are morphologically similar and all share the basic melanistic pigment pattern described here. Although the three species reared in this study can be distinguished on the basis of xanthic pigmentation, it seems unlikely that it will be possible to reliably identify field-collected larvae to species using traditional morphological and melanistic pigmentation characters. (PDF file contains 36 pages.)

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Tabella das produções dos tres Reinos da Natureza, que ha na capitania de Santa Catharina, escriptas por ordem alphabetica : reino vegetal, reino animal. Mappa das producções, consumo, e exportação da Capitania de Santa Catharina, no anno de 1810. Calculo aproximado das despezas da companhia, durante a primeira epocha, em conformidade do disposto nos artigos 2, 3., 4., 6., do appendice.

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在高超声速飞行条件下,流入冲压发动机燃烧室并降至低速的空气的温度随飞行马赫数增加而愈来愈高。燃料与高温空气混合燃烧释放的化学能中的一部分将转化为解离能。这些解离能在长度受限的尾喷管中难以充分复合形成推力,使冲压发动机推力在高超声速范围内随飞行马赫数增大而下降,难以满足高超声速飞行器的推进要求。 与亚燃冲压发动机相比,流入超燃冲压发动机燃烧室的空气的温度在同样飞行马赫数条件下将明显降低,上述困难可大大缓解。然而目前超燃冲压发动机还存在关键性难点有待克服。若保持现有亚燃冲压发动机的吸气与燃烧方式,通过催化促进燃气解离组分在尾喷管膨胀过程中复合,可以增大冲压发动机的推力,满足高超声速飞行器的推进要求,为高超声速飞行器推进提供新的选择。 本论文主要研究内容如下: (1) 研究了亚燃冲压发动机燃烧室内燃气解离能与飞行马赫数的关系。通过对冻结流、平衡流和有限化学反应速率的流动的数值计算,确定了回收解离能增大推力的潜力。 (2) 以双爆轰技术为基础,建立起一套地面燃气产生装置。所产生的燃气的组分、温度和压力均与冲压发动机在高空飞行时燃气完全相同。调试出总温3200K、总压20Bar(对应来流马赫数6)和试验时间17.5ms以及总温4000K、总压5Bar(对应来流马赫数8)和试验时间12.5ms两种状态参数的试验用燃气。 (3) 建立了基于动量守恒原理的通过皮托管测压力换算推力的测量方法。对催化复合增大推力的实验而言,一般要进行特定流动条件下喷水与未喷水两种情况下推力大小的比较,其精度可以达到2%甚至更高。 (4) 完成了尾喷管喉道下游管壁喷水试验,成功释放出高温燃气中的解离能,有效增大了推力,证实了催化增推的想法是可行的。在来流马赫数6的条件下获得了11.0%的推力增量;在来流马赫数8.0的条件下也获得了11.7%的推力增加。

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Ikerketa lan honen helburu nagusia, Espainiako maila gorenean jokatzen aritzen den Getxo Errugbi taldeko jokalarien estruktura biotipologikoa eta somatotipoa aztertzea eta aurre-denboraldian zehar, hau da, 10 astetan zehar gorputz egituran jasandako aldaketak baloratzea izan da. Bestalde, aurrelarien eta atzelarien arteko desberdintasunak eta postuaren arabera aurre-denboraldiak duen eragina sumatzearen helburua ere izan du ikerketa honek. Horretarako, aurre-denboraldiaren hasieran, ekainaren 18an eta amaieran, abuztuaren 27an, elite mailako diren 30 jokalariren datu antropometrikoak neurtu izan ziren. Datu antropometrikoak altuera, pisua, larruazaleko tolesturak, hezur diametroak eta gorputz adarren perimetroak izan ziren. 30 jokalarien ekaineko batez besteko adina, esperientzia, altuera, pisua, gorputz masa indizea eta gantz ehunekoa hurrengokoak izan ziren hurrenez hurren; 25,7 ?? 5,7 urte, 14,3 ?? 6,1 urte, 181,5 ?? 6,8 cm, 91,2 ?? 17,7 kg, 27,6 ?? 4,6 GMI eta 13,48 ?? 3,66 gantz %. Metodologiari dagokionez, kirolari bakoitzaren somatotipoa Heath-Carter metodoaren bidez kalkulatua izan da eta gantz ehunekoa eta gantz masa 4 gunetako Jackson/Pollock gantz kalibre metodoaren bidez kalkulatu izan dira.

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The problem of the finite-amplitude folding of an isolated, linearly viscous layer under compression and imbedded in a medium of lower viscosity is treated theoretically by using a variational method to derive finite difference equations which are solved on a digital computer. The problem depends on a single physical parameter, the ratio of the fold wavelength, L, to the "dominant wavelength" of the infinitesimal-amplitude treatment, L_d. Therefore, the natural range of physical parameters is covered by the computation of three folds, with L/L_d = 0, 1, and 4.6, up to a maximum dip of 90°.

Significant differences in fold shape are found among the three folds; folds with higher L/L_d have sharper crests. Folds with L/L_d = 0 and L/L_d = 1 become fan folds at high amplitude. A description of the shape in terms of a harmonic analysis of inclination as a function of arc length shows this systematic variation with L/L_d and is relatively insensitive to the initial shape of the layer. This method of shape description is proposed as a convenient way of measuring the shape of natural folds.

The infinitesimal-amplitude treatment does not predict fold-shape development satisfactorily beyond a limb-dip of 5°. A proposed extension of the treatment continues the wavelength-selection mechanism of the infinitesimal treatment up to a limb-dip of 15°; after this stage the wavelength-selection mechanism no longer operates and fold shape is mainly determined by L/L_d and limb-dip.

Strain-rates and finite strains in the medium are calculated f or all stages of the L/L_d = 1 and L/L_d = 4.6 folds. At limb-dips greater than 45° the planes of maximum flattening and maximum flattening rat e show the characteristic orientation and fanning of axial-plane cleavage.

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The dynamic evolution of a A system coupled by two strong coherent fields is investigated by taking spontaneously generated coherence (SGC) into account. By numericaly simulation, it is shown that the relative phase of the two coherent fields affects significantly the time scale to the coherent population trapping state. In addition, an analytical expression to the evolution rate which is consistent with the numerical results is given. (c) 2005 Elsevier B.V. All rights reserved.

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Ed. by Xabier Artiagoitia, Patxi Goenaga & Joseba A. Lakarra.

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Three types of prototype (Lege) traps with different numbers of entrance valves were evaluated in River Rima, north western Nigeria. The traps contained 4,6 and 8 valves, tagged 4-V, 6-V and 8-V respectively. The experiment was carried out in a randomized complete block design with one factor each replicated three times. Data collected on fish diversity, number biomass and sizes were subjected to descriptive statistics and analysis of variance. The results of the catch composition showed close diversity index of 0.86 for 6-V, 0.80 for 8-V and 0.60 for 4-V Lege traps. However, the number (41%) and biomass 48%) of fish caught in the 6-V Lege trap were significantly (P0.05) higher than those caught in the other traps. There was no definite trend in the sizes (length and girth) of fish caught in the traps. On the basis of species diversity, and the number and biomass of fish caught, the 6-V Lege showed preference for adoption than the other two traps. However, further studies are recommended on the appropriate mesh size net for the trap in line with the provisions of fisheries edicts

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Three types of prototype (Lege) traps with different numbers of entrance valves were evaluated in River Rima, north western Nigeria. The traps contained 4,6 and 8 valves, tagged 4-V, 6-V and 8-V respectively. The experiment was carried out in a randomized complete block design with one factor each replicated three times. Data collected on fish diversity, number, biomass and sizes were subjected to descriptive statistics and analysis of variance. The results of the catch composition showed close diversity index of 0.86 for 6-V, 0.80 for 8-V and 0.60 for 4-V Lege traps. However, the number (41%) and biomass (48%) of fish caught in the 6-V Lege trap were significantly (P<0.05) higher than those caught in the other traps. There was no definite trend in the sizes (length and girth) of fish caught in the traps. On the basis of species diversity, and the number and biomass of fish caught, the 6-V Lege showed preference for adoption than the other two traps. However, further studies are recommended on the appropriate mesh size net for the trap in line with the provisions of fisheries edicts