883 resultados para Laplace, Transformación de
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[EUS] XX. mendearen bigarren erdian Euskal Herrikoíanda espazio atlantiarrean suertatu den paisai aldaketa bertan ustiakuntza sistema funtsezkoa den baserriak eragin du. Lan honetan aldaketa prozesu hori aztertzeko nekazal estatistikaz baliatzen da.
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1460 p.
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166 p.
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der="0" alt="" hspace="8" width="105" height="150" align="left" />《高等断裂力学》系统论述断裂力学的基本概念、理论基础、力学原理、分析方法以及断裂力学的实验测定和工程应用。深入阐明了断裂力学各个重要发展阶段的新颖学术思想和原创性工作,同时融会贯通地介绍了国内学者在作者熟悉的若干领域内的创造性贡献。 《高等断裂力学》共14章。第1章介绍断裂力学的历史背景和发展脉络;第2~5章介绍线弹性断裂力学;第6~8章论述弹塑性断裂力学;第9及第10章分别介绍疲劳裂纹扩展和界面裂纹;第11~14章阐述裂纹体弹性动力学和裂纹动态扩展。 《高等断裂力学》适合从事断裂力学研究和应用的科技工作者及工程师使用和参考,也可供力学专业的高年级本科生和研究生阅读参考.
目录
序言
第1章 引论
1.1 历史背景
1.2 工程意义
1.3 脆性破坏特征
1.4 断裂力学起源与发展
参考文献
第2章 线弹性断裂力学
2.1 裂纹尖端弹性应力场
2.2 应力强度因子理论
2.3 裂纹扩展能量原理
2.4 裂纹尖端塑性区
2.5 厚度对KC的影响
2.6 裂纹扩展阻力曲线
参考文献
第3章 应力强度因子分析方法
3.1 Williams级数展开与边界配置法
3.2 复变函数方法
3.3 权函数法
3.4 积分变换法
3.5 奇异积分方程
3.6 有限单元法
参考文献
第4章 平面应变断裂韧性
4.1 标准试样
4.2 试样取向与制备
4.3 测试仪器和有效性分析
4.4 KR曲线测试
参考文献
第5章 复合型裂纹的脆断理论
5.1 复合型裂纹变形特征
5.2 应力参数准则
5.3 分支裂纹应力强度因子
5.4 能量释放率准则
5.5 复合型裂纹脆断试验
5.6 理论与实验比较
5.7 塑性变形对金属材料复合型裂纹脆性断裂的影响
参考文献
第6章 弹塑性断裂力学
6.1 J积分原理
6.2 HRR奇性场
6.3 J积分准则
6.4 J控制扩展
6.5 断裂韧性JIC测试
6.6 Dugdale模型
6.7 带状颈缩区模型
6.8 裂纹张开位移准则
参考文献
第7章 裂纹顶端弹塑性高阶场
7.1 高阶场基本方程
7.2 一阶场和二阶场
7.3 高阶场前5项完整结果
7.4 J-Q双参数方法
7.5 J-k断裂准则
7.6 平面应力裂端弹塑性场
参考文献
第8章 理想弹塑性介质扩展裂纹尖端场
8.1 v=0.5时的裂尖渐近场
8.2 v<0.5时的裂尖场
8.3 理想弹塑性介质Ⅲ型扩展裂纹
8.4 扩展裂纹与J积分
参考文献
第9章 疲劳裂纹扩展
9.1 等幅载荷下裂纹扩展
9.2 影响疲劳裂纹扩展的因素
9.3 裂纹闭合效应
94疲劳裂纹扩展门槛值确定
95等幅载荷下疲劳裂纹寿命预测
96变幅载荷下疲劳寿命预测
97缺口根部的疲劳裂纹
参考文献
第10章 界面裂纹
101弹性界面力学
102界面裂纹弹性断裂力学
10.3 典型的界面断裂问题
10.4 界面断裂试验
参考文献
第11章 弹性动力学基本概念及方法
11.1 动态惯性效应
11.2 线弹性动力学基本方程
11.3 复变解析函数
11.4 Laplace变换
11.5 Wiener-Hopf分解
11.6 动态断裂的能量概念
参考文献
第12章 静止裂纹的弹性动力学基本解
121突加反平面剪切载荷
12.2 突加裂纹面正压力
12.3 突加平面内剪切应力情况
124有限长裂纹面突加载荷情况
12.5 动态载荷裂纹的起始扩展
参考文献
第13章 均匀材料中动态扩展裂纹
13.1 动态裂纹定常扩展
13,2裂纹面上集中剪切力
133黏结区模型
13.4 Broberg问题
13.5 对称扩展剪切裂纹
136时间无关载荷作用下裂纹扩展
13.7 时间相关载荷作用下裂纹扩展
13.8 II型超剪切波扩展裂纹
13.9 裂纹尖端超弹性区对I、II型裂纹速度的影响
参考文献
第14章 双材料界面动态裂纹扩展
14.1 准静态动态裂纹扩展
14.2 双材料界面裂纹含接触区跨音速扩展
14.3 界面裂纹的超音速扩展
参考文献
索引
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143 p.
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液滴是自然界中普遍存在的一种物质形态。非连续微流体(液滴)是近年来微流体技术重要发展方向之一。对液滴的产生、启动、移动、合并、分离和碰撞过程的研究对于航天、微纳系统、电子显示、计算机冷却、喷墨、生物医学等学科领域有着重要的应用价值。液滴属于软物质,其力学性质介于流体和固体之间,其类固体(solid-like)行为来自于曲率产生的Laplace压力和表面张力的约束。对液滴动力学行为的研究有着重要的学术价值。 本文的主要工作是针对生物微电子机械系统(Bio-MEMS)以及柔性微纳电子加工中常用的材料聚二甲基硅氧烷(Polydimethylsiloxane,PDMS)为基底的液滴动力学实验研究。 液滴是一个理想的微反应器,许多实验可以集成在一个液滴或多个液滴内完成。液滴本身的动力学特性对于实验的完成效率和质量有着重要的影响。液滴的微操控技术包括多相流法、电润湿法、热毛细管法、介电泳法等。液滴的动力学特性受到基底的影响非常大,包括基频、振动模态、运动过程等均随基底的润湿性、弹性模量的变化而有所变化。 在Bio-MEMS以及柔性微纳电子加工当中,PDMS扮演着越来越重要的角色,尤其是PDMS的润湿性和电润湿特性。目前的PDMS在Bio-MEMS当中主要是用于制备各种微流道。常见的问题主要是一方面PDMS是疏水材料,影响流体的输运。另一方面是液体在这种低Reynolds数情况下不易混合,反应效率低。本文提出了在PDMS表面溅射纳米厚度的金来减小PDMS表观接触角的方法。这种方式在特定喷金量的情况下可以在PDMS表面产生多层次的压应力波纹。这种压应力波纹对于柔性微纳电子加工,以及微流道中加速流体混合有着非常重要的作用。 电润湿是另一种可以使PDMS亲水化的方法。实验证明,PDMS具有较好的电润湿性质。此外电润湿也是目前操纵液滴的主要方式。目前一个常见的问题是电击穿现象阻碍了驱动电压的低压化,且低Reynolds数情况下液滴的混合效率偏低。此外电极还会由于少量电解的发生导致腐蚀及对液体样品的污染。本文提出了接触式的电润湿,在电极逐渐触碰液滴的过程中,液滴发生百Hz的失稳振动,稳定后接触角减小。这种电润湿模式可以有效的提高临界击穿电压,避免液滴被腐蚀后的电极污染,同时可以加快液滴的混合效率。其失稳特征时间在10 ms量级,这恰是所用液滴特征尺度在1 mm左右的电润湿器件的最快响应时间。并采用液滴振动的理论估算了液滴的失稳时间,同时还考虑了基底润湿性对液滴振动过程的影响。 液滴的启动是电润湿操控液滴过程中的重要环节。通常的液滴启动都是在非连续基底上依靠逻辑电路产生的电势变化来驱动液滴。无论是逻辑电路的设计还是驱动装置的加工都非常复杂。本文首次实现了在超疏水生物样品荷叶上的液滴启动,启动速度为数十毫米/秒,启动时间为10 ms量级。并利用PDMS成功的仿制了荷叶结构实现了超疏水的PDMS表面,荷叶同仿荷叶的PDMS超疏水表面具有相近的润湿性。 在数字微流体操控液滴的过程中,液滴的合并涉及液滴的碰撞,而且MEMS系统当中利用液滴撞击进行冷却的实验已经有所开展。同时理解液滴碰撞还对许多领域包括生物、化学、喷墨、大气物理等有着非常重要的作用。本文实验研究了Weber数和毛细数对液滴碰撞过程的影响,通过改变Weber数和毛细数得到了四种不同的响应模式。
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200 p.
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Este Proyecto de Fin de Carrera ha sido realizado en colaboración con la empresa Ultra-Lab y el centro Arteleku y trata sobre el diseño, desarrollo e implementación de una interfaz visual para la creación, manipulación, transformación y visualización de diferentes figuras en un entorno 3D. Estas herramientas visuales dan soporte al usuario para que este pueda realizar múltiples modificaciones de las figuras con las que está trabajando de una forma fácil, intuitiva y eficiente.
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Some aspects of wave propagation in thin elastic shells are considered. The governing equations are derived by a method which makes their relationship to the exact equations of linear elasticity quite clear. Finite wave propagation speeds are ensured by the inclusion of the appropriate physical effects.
The problem of a constant pressure front moving with constant velocity along a semi-infinite circular cylindrical shell is studied. The behavior of the solution immediately under the leading wave is found, as well as the short time solution behind the characteristic wavefronts. The main long time disturbance is found to travel with the velocity of very long longitudinal waves in a bar and an expression for this part of the solution is given.
When a constant moment is applied to the lip of an open spherical shell, there is an interesting effect due to the focusing of the waves. This phenomenon is studied and an expression is derived for the wavefront behavior for the first passage of the leading wave and its first reflection.
For the two problems mentioned, the method used involves reducing the governing partial differential equations to ordinary differential equations by means of a Laplace transform in time. The information sought is then extracted by doing the appropriate asymptotic expansion with the Laplace variable as parameter.
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This thesis studies three classes of randomized numerical linear algebra algorithms, namely: (i) randomized matrix sparsification algorithms, (ii) low-rank approximation algorithms that use randomized unitary transformations, and (iii) low-rank approximation algorithms for positive-semidefinite (PSD) matrices.
Randomized matrix sparsification algorithms set randomly chosen entries of the input matrix to zero. When the approximant is substituted for the original matrix in computations, its sparsity allows one to employ faster sparsity-exploiting algorithms. This thesis contributes bounds on the approximation error of nonuniform randomized sparsification schemes, measured in the spectral norm and two NP-hard norms that are of interest in computational graph theory and subset selection applications.
Low-rank approximations based on randomized unitary transformations have several desirable properties: they have low communication costs, are amenable to parallel implementation, and exploit the existence of fast transform algorithms. This thesis investigates the tradeoff between the accuracy and cost of generating such approximations. State-of-the-art spectral and Frobenius-norm error bounds are provided.
The last class of algorithms considered are SPSD "sketching" algorithms. Such sketches can be computed faster than approximations based on projecting onto mixtures of the columns of the matrix. The performance of several such sketching schemes is empirically evaluated using a suite of canonical matrices drawn from machine learning and data analysis applications, and a framework is developed for establishing theoretical error bounds.
In addition to studying these algorithms, this thesis extends the Matrix Laplace Transform framework to derive Chernoff and Bernstein inequalities that apply to all the eigenvalues of certain classes of random matrices. These inequalities are used to investigate the behavior of the singular values of a matrix under random sampling, and to derive convergence rates for each individual eigenvalue of a sample covariance matrix.
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Gizarte Hezkuntzako Gradu Amaierako Lanaren barruan kokatzen den lan teoriko honek, Ikasketa eta Zerbitzu Solidarioaren gaineko informazio iturri esanguratsuenetarikoak kontuan harturik, bere izaera inklusiboa berrestea du helburu. Horretarako, metodo berritzaile honen argibide kontzeptualak azaltzeaz batera, prozesu demokratizatzaile eta inklusibo bat ematea posible egiten duten gakoak argitu eta bazterketari aurre egitea ahalbidetzen duen jabekuntza prozesuaz eta kapital soziala bereganatzeko moduaz idatzi da. Jendarte eraldaketa gizarte hezitzaileen lanbidearen eginbeharretako bat izanik, asmo hau lortzeko bide berrien emariak jaso beharko liratezke. Arrazoi horregatik, zerbitzu solidario bat eskaintzearen bitartez, ezagutzak areagotzea eta transformazio prozesu bat abian jartzen duen metodologia honen garrantziaz ohartarazten da.
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In this work, computationally efficient approximate methods are developed for analyzing uncertain dynamical systems. Uncertainties in both the excitation and the modeling are considered and examples are presented illustrating the accuracy of the proposed approximations.
For nonlinear systems under uncertain excitation, methods are developed to approximate the stationary probability density function and statistical quantities of interest. The methods are based on approximating solutions to the Fokker-Planck equation for the system and differ from traditional methods in which approximate solutions to stochastic differential equations are found. The new methods require little computational effort and examples are presented for which the accuracy of the proposed approximations compare favorably to results obtained by existing methods. The most significant improvements are made in approximating quantities related to the extreme values of the response, such as expected outcrossing rates, which are crucial for evaluating the reliability of the system.
Laplace's method of asymptotic approximation is applied to approximate the probability integrals which arise when analyzing systems with modeling uncertainty. The asymptotic approximation reduces the problem of evaluating a multidimensional integral to solving a minimization problem and the results become asymptotically exact as the uncertainty in the modeling goes to zero. The method is found to provide good approximations for the moments and outcrossing rates for systems with uncertain parameters under stochastic excitation, even when there is a large amount of uncertainty in the parameters. The method is also applied to classical reliability integrals, providing approximations in both the transformed (independently, normally distributed) variables and the original variables. In the transformed variables, the asymptotic approximation yields a very simple formula for approximating the value of SORM integrals. In many cases, it may be computationally expensive to transform the variables, and an approximation is also developed in the original variables. Examples are presented illustrating the accuracy of the approximations and results are compared with existing approximations.
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LABURPENA: Aurrerapen zientifikoek aurrera egin ahala, lehen haurtzarorako begirada eraldatu egin da, bereziki garapen motorraren alorrean. Haurtxoa izaki pasibo bezala ikusten zuten ikuskerek, subjektuaren konpetentzia goiztiarren aurrean begiruneko jarrerak gartu dituzte. Lan honetan kalitatezko hezkuntza eredu instituzionalizatua garatu zuen Emmi Pikler-en ekarpenak aztertuko ditugu. Eredu honek printzipio pedagogiko zehatz batzuen arabera jaioberria eta haurtxo txikia ikusteko beste era bat eta hezitzaile bezala zaintzen dugun ume bakoitzarekiko betetzen dugun rolaren eraldaketa proposatzen du. Honek hezitzailearen jardunbide tradizionala birplanteatzera bultzatzen gaitu, haurrenganako maitasuna eta begirunea oinarritzat duen hezkuntza sistema bat eraiki ahal izateko.
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[spa] Este trabajo se centra en las tertulias literarias dialógicas calificadas como prácticas educativas de éxito para fomentar la inclusión y la transformación social desde el sistema escolar. Contextualizando estas actividades dentro de la educación inclusiva y abordando los principios del aprendizaje dialógico, se analiza la metodología de las mismas para presentar una propuesta de intervención en el CEP Juan Bautista Zabala. Todo ello con el objetivo de implementar esta estrategia exitosa y evaluar la actividad desde la perspectiva de la metodología comunicativa crítica, es decir, otorgando especial relevancia a las opiniones de los protagonistas sobre la experiencia vivida.
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4 p.