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新型有限元論:結(jié)構(gòu)工程中的高等有限元方法

新型有限元論:結(jié)構(gòu)工程中的高等有限元方法

定 價(jià):¥138.00

作 者: 龍馭球,岑松,龍志飛 著
出版社: 清華大學(xué)出版社
叢編項(xiàng):
標(biāo) 簽: 計(jì)算數(shù)學(xué)

ISBN: 9787302188896 出版時(shí)間: 2009-03-01 包裝: 精裝
開本: 16開 頁數(shù): 706 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  《新型有限元論:結(jié)構(gòu)工程中的高等有限元方法》是在中文專著《新型有限元淪》(2004年版)的基礎(chǔ)上補(bǔ)充了2004年于2008年期間的新成果所撰寫的英文專著,是龍馭球院士、岑松博士和龍志飛教授及具研究組多年來在新型有限元方面研究成果的系統(tǒng)論述。全書分為20章。除首尾兩章外,其余18章分為3篇:第1篇是變分原理進(jìn)展,介紹分區(qū)和含參變分原理2項(xiàng)成果;它們?yōu)闃?gòu)造新型有限元起到理論指導(dǎo)作用。第2篇是有限元法進(jìn)展初論,重點(diǎn)介紹廣義協(xié)調(diào)元;這是在協(xié)調(diào)元與非協(xié)調(diào)元之間另辟的新路,使協(xié)調(diào)問題和收斂問題得到合理解決,單元構(gòu)造方案可以靈活優(yōu)選,學(xué)科內(nèi)容得到充實(shí)更新;廣義協(xié)調(diào)元是新型有限元方面的主要成果,在本書中起核心作用。第3篇是有限元法進(jìn)展續(xù)論,補(bǔ)充介紹4項(xiàng)成果,包括分區(qū)混合元法、解析試函數(shù)法、第一和第二類四邊形面積坐標(biāo)法和樣條函數(shù)有限元法,在本書中起錦上添花作用。木書還結(jié)合7項(xiàng)成果的論述,介紹了總共108個(gè)相關(guān)的新單元。本書可作為高等學(xué)校力學(xué)、土木、機(jī)械等專業(yè)研究生和高年級(jí)本科生的教材和參考書,也可供相關(guān)領(lǐng)域教師和科技人員參考。

作者簡(jiǎn)介

  Professor Yu-Qiu Long(1926一)is a Full Professor in the Department of Civil Engineering,Tsinghua University,and also a Member of the Chinese Academy of Engineering since 1995.During the past 60 years.he has been recognized as an expert in the areas of structural mechanics.shell structures.finite element method and variational principle.He was the first President of the Chinese Association of Structural Engineering between 1998 and 2003:Council Member Of the Chinese Association of Computational Mechanics from l957 to l990;and Editor-in-Chief of a Chinese iournal,Engineering Mechanics.between 1991 and 1999.He is currently a member of Editorial Boards of many intemational and Chinese ioumals,such as Advances in Structural Engineering (since l 997).International Journal of Structural Stability and Dynamics(since 200 1),Applied Mathematics and Mechanics(since 1979),and so on.He Published his first book on the finite element method in 1978.which is one of the earliest books on this subject in China and has a broad influence on Chinese readers.DL Song Cen(1 972一)is serving as an Associate Professor in the Department of Engineering Mechanics.School Of Aerospace,一Tsinghua University.He is also the deputy secretary.general of Beijing Society of Mechanics;Executive C:ouncil Member of the International Chinese Association for Computational Mechanics;Invited Council Member of the Chinese Association of Computational Mechanics.His research interests mainly cover finite element method and computational solid mechanics.Dr.Cen is a recipient of some prestigious Prizes for distinguished young Chinese researchers.including Xu Zhi-Lun Prize in Mechanics(2007),New Academic Prize ofTsinghua University(2007),F(xiàn)ok Ying Tung Prize for Young Researchers in Universities(2006),the Nationwide(China) Excellent Doctoral Dissertation Award of Year 2002(supervised by Professor Yu.Qiu Long),and so on.Professor Zhi-Fei Long(1957一)is a professor in the School of Mechanics&Civil Engineering.China University of Mining&Technology rBeijing).He is an expert in finite element method and structural mechanics,and has published 4 books and more than 90 Papers in related fields.He won the Science Award of China Ministry of Education(First Class.1993).for the studies on the generalized energy principles and new finite element models.The textbook titled by New Monograph of Finite Element Method(written by Zhi.Fei Long and Song Cen,published by China Hydraulic and Wlater-power Press in 2001)has produced a broad influence in Chinese universities.

圖書目錄

Chapter 1 Introduction--The Evolutive Finite Element Method.
  1.1 Brief Review of the Features of Finite Element Method
  1.2 Finite Element Method and Variational Principles
  1.3 Research Areas of FEM
  1.4 Advances in FEM and Outline of This Book
  References
PART Ⅰ Advances in Variational Principles
 Chapter 2 The Sub-Region Variational Principles
  2.1 Introduction
  2.2 The Sub-Region Variational Principle for Elasticity
  2.3 The Sub-Region Variational Principle for Elastic Thin Plate
  2.4 The Sub-Region Variational Principle for Elastic Thick Plate
  2.5 The Sub-Region Variational Principle for Elastic Shallow Shell
  2.6 The Sub-Region Mixed Energy Partial Derivative Theorem
  References
 Chapter 3 Variational Principles with Several Adjustable Parameters
  3.1 Introduction
  3.2 Several Patterns of Functional Transformation
  3.3 Generalized Variational Principle Involving Several Adjustable Parameters
 3.4 Variable-Substitution-Multiplier Method
  References
PART Ⅱ Advances in Finite Element Method-Generalized Conforming Elements
 Chapter 4 Generalized Conforming Element Theory
4.1 Introduction
4.2 Conforming and Nonconforming Elements--Some Consideration about "Conforming"
4.3 The First Pattern of Generalized Conforming Element-Replacing Nodal Conforming by Line Conforming Conditions
 ……
PART Ⅲ Other Advances in Finite Element Method

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