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In Chapter 2, we will use one-parameter subgroups of the Lie group to develop a version ofNewton\'s method on an arbitrary Lie group for maps from a Lie group to its correspondingLie algebra which is independent of affine connections on the Lie group and differs fromNewton\'s method for sections on Riemannian manifolds.

在第2章中,我们主要研究关于从李群到其李代数的映射f的Newton法的收敛性。利用李群的单参数子群来给出关于映射f的Newton迭代点列,此Newton迭代与李群上的联络无关,也与第1章中研究的Newton迭代不同。

The basic approach of protecting people from being hurt or killed in an accident is to improve crashworthiness of vehicles. This paper starts with discussing theories and methods for vehicle passive safety design, which included experiential methods, analytic methods, multi-body dynamics methods, crash test methods and the finite element method. Emphasis will be paid to the basic FEM theories and algorithms of impact problems. Topics discussed include the governing equation, element discretization, hourglass control, time integration, material model, shell element algorithms and contact-impact algorithms. For more reliable simulation results, this paper then conducts study on how to accurately get material model parameters by combining the FEM method with experimental method, and develops relevant material test machine and parameter calculating software. Based on that, basic typical impact simulation and test validation study are conducted. On the basis of the above work, the paper studies the thin-shell structures'crashworthiness, which was affected by the following factors: spot-weld features, shell thickness, cross-section and pre-deformation. As to vehicle parts'crashworthiness, the paper conducts simulation study of designing energy-absorbing steering system and adaptive airbag system. A practical energy-absorbing steering wheel is designed as an example. In further depth research, the paper suggests several inverse quantificational methods for vehicle crashworthiness design based on the ideal crash characteristics. The above theories and methods are applied with good results through several practical vehicles' crashworthiness design and improvement.

文中对汽车碰撞安全性的设计理论和方法进行了归类和总结,其中包括经验法、解析法、多刚体动力学法、试验法以及有限元方法等;重点介绍了碰撞有限元法的基本理论和有关算法,涉及到有限元求解控制方程、单元离散、沙漏模态控制、时间积分、材料模型和应力修正、薄壳单元算法以及接触碰撞界面算法等,探讨了有限元计算中的材料模型参数获取技术,开发了相应的材料试验装置及材料模型参数反求软件,在此基础上进行了基本的碰撞仿真算例和试验对比研究;文中通过应用有限元方法研究了薄壁构件的碰撞吸能特性,指出了设计薄壁吸能构件时需要考虑的几个主要影响因素,即焊点、壁厚、横截面和预变形等;在关于车辆部件的碰撞安全性能设计中进行了吸能转向机构和自适应安全气囊的仿真研究,提出了吸能转向机构和自适应安全气囊的仿真研究方法;文中最后探讨了整车碰撞性能的设计与改进方法,提出了以理想碰撞特性为目标,采用分段加速度或者根据碰撞时间进行设计的反推设计法、部件吸能仿真优化设计法等量化设计方法,并通过综合应用文中所讨论的相关技术进行了整车碰撞性能的设计与改进实例研究,所选定的车型是大众化的普通轿车和碰撞安全性基础较差的微型面包车,研究结果表明,本文所提出的设计与改进方法是适用而有效的,具有重要的工程实用意义和价值。

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用,本文主要做了以下工作:第一,证明了一致B~2概周期函数空间在其特定范数下构成Banach空间,从而可以在此函数空间上应用不动点定理;第二,由一致B~2概周期函数空间的完备性,应用压缩映像原理,讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

I am here to give your some top tips of how to swim breaststroke.

在此,我给大家推荐几点关于怎样游好蛙泳的行之有效的小贴示。

This thesis is divided into the following six parts: Part one is a preface, explaining the meaning, purpose, key problem, method, creativity of the subinfeudation system in Jiangxi, and present research.

全文分为七个部分;第一部分是序言,明确了明代江西藩王研究的的意义、目前学术界关于此课题的研究状况以及本文研究的目的、主要问题、方法、创新点。

This point tends to be taken for granted by Americans and disbelieved by others .

关于此点,美国人认为这是理所当然,但其他人却难以苟同。

Leifeng Pagoda was first built in Northern Song Dynasty 977 AD, two years of peace and rejuvenating the country, originally for the King of Wu and Yue Feng Qian-shu Tibetan Buddhism as a relic to pray for peace and prosperity Luo Ji-fat built, the original name of Princess tower, tower of brick-wood structure leifeng well-known high tower, and Chinese folk legend of White Snake widespread myth is closely related to the story in the embodiment of white snake Bai Suzhen have been a result of the pursuit of true feelings and sea monk imprisoned in Leifeng Pagoda, the Leifeng Pagoda and therefore the statement of history far and wide Leifeng Pagoda on the fire hit twice, the first declared in the Northern Song Dynasty and years, because of Fang La uprising, a torch outside the wooden structure burned to the tower to the Southern Song Dynasty years, have been rebuilt Leifeng Pagoda, West Lake, one of Dusk is the leifeng circulated Leifeng Pagoda at that time subjected to fire the second Jiajing in the Ming Dynasty, when the pirates violation of Hangzhou, Leifeng Pagoda burnt again, remaining tower stands on the shore of West Lake, this case continued until the end of the Qing, Leifeng Pagoda finally collapsed due to overwhelming cause of the collapse on the Leifeng Pagoda in history is also very controversial, in general there are two versions of the previous two years in the clean-up sites Leifeng Pagoda time, found that a considerable portion of the tower of brick side of a small hole in the cave there are Buddhist in the past, people have incorrectly relay erroneous messages will pass into a gold brick by brick, the tower blocks have take-home, resulting in the collapse of the tower argument argument, one of the two, due south is the land of plenty since ancient times, but Hangzhou is the House of silk and tea, the history of Hangzhou on the rich silk, and every year when the silkworms cocoon silk, a variety of reasons, tend to have a large number of cocoon death, Over the past superstition, misconception that cocoon cursed, while the Leifeng Pagoda is a town of white snake demon, thinking that would be the Pagoda bricks at home, they can withstand the erosion of Yao Xie, you have to take a sericulture, his family wealth take a course of time, in particular, Taki shaft damage due to the common people, coupled with those in power are indifferent Leifeng Pagoda finally at 13:40 on September 25, 1924 came crashing down

雷峰塔初建于北宋太平兴国二年公元977年,原本为吴越国王钱淑为奉藏佛螺髻发舍利子以祈祷国泰民安所建,原名叫皇妃塔,塔为砖木结构雷峰塔的知名度之高,与中国民间广泛流传的神话传说白蛇传密切相关,故事中白蛇的化身白素贞因追求人间真情而被法海和尚囚禁于雷峰塔下,雷峰塔因而声明远播历史上的雷峰塔曾两次遭遇大火,第一次是在北宋宣和年间,因方腊起义,一把火把外面的木结构塔身加以焚毁到了南宋年间,曾重修雷峰塔,西湖十景之一的雷峰夕照就是在那个时候流传的雷峰塔第二次遭受火烧是在明朝的嘉靖年间,当时倭寇侵犯杭州,雷峰塔再次把火焚,仅剩塔身屹立于西湖之滨这种情形一直持续到清末民初,雷峰塔终因不堪重负而倒塌了关于雷峰塔倒塌的原因,历史上也很有争论,一般来讲有两种说法,前两年在清理雷峰塔遗址的时候,发现有相当一部分的塔砖一侧有一个小洞,在洞里有佛经而在过去,老百姓们以讹传讹将经砖传成金砖,纷纷将塔砖拿回家,从而导致塔的倒塌此说法之一说法之二,由于江南自古就是鱼米之乡,而杭州又是丝茶之府,历史上的杭州就盛产丝绸,而每年蚕宝宝吐丝结茧之时由于多种原因,往往有大量的蚕茧死亡,过去的人迷信,误以为蚕茧中了邪,而雷峰塔是镇妖的白蛇,以为将雷峰塔的砖放在家里,就可以抵挡妖邪的侵蚀,你家养蚕拿一块,他家求财拿一块,久而久之,塔身特别是塔基由于老百姓的破坏,加上当权者的漠不关心,雷峰塔终于在1924年9月25日下午1点40分轰然倒塌

Greek antiquity gives us a pictorial clue when it represents in statues, on cameos, etc., Homer and Archilochus side by side as ancestors and torchbearers of Greek poetry, in the certainty that only these two are to be regarded as truly original minds, from whom a stream of fire flowed onto the entire later Greek world.

到此,我们将首先探讨这颗新芽怎样先在希腊世界出现,后来又发展为悲剧与酒神祭曲。关于这点,古希腊人自己就给我们一个象征的答案。

推荐网络例句

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特,那个是爱朗。

Articulate the aims, objectives and key aspects of a strategic business plan.

明确的宗旨,目标和重点战略业务计划。