Uncertainty assessment of large finite element systems

著者

書誌事項

Uncertainty assessment of large finite element systems

Christian A. Schenk, Gerhart I. Schuëller

(Lecture notes in applied and computational mechanics, 24)

Springer, c2005

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注記

Includes bibliographical references (p. [153]-162) and index

内容説明・目次

内容説明

The treatment of uncertainties in the analysis of engineering structures remains one of the premium challenges in modern structural mechanics. It is only in recent years that the developments in stochastic and deterministic computational mechanics began to be synchronized. To foster these developments, novel computational procedures for the uncertainty assessment of large finite element systems are presented in this monograph. The stochastic input is modeled by the so-called Karhunen-Loeve expansion, which is formulated in this context both for scalar and vector stochastic processes as well as for random fields. Particularly for strongly non-linear structures and systems the direct Monte Carlo simulation technique has proven to be most advantageous as method of solution. The capabilities of the developed procedures are demonstrated by showing some practical applications.

目次

Part I Deterministic Methods and Procedures. Spectral Analysis of Finite Dimensional Operators. Finite Element Method. Non-Linear Static Analysis. Dynamic Analysis.- Part II Probabilistic Methods and Procedures. Rational Treatment of Uncertainties. Karhunen-Loeve Expansion. Direct Monte Carlo Simulation. Equivalent Statistical Linearization. Random Vibrations of Large Finite Element Systems.- Part III Practical Applications. Stability Analysis of Cylindrical Shells with Random Imperfections. Random Vibrations of Multi-Story Office Buildings.

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詳細情報

  • NII書誌ID(NCID)
    BA73258831
  • ISBN
    • 3540253432
  • LCCN
    05925344
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    ix, 165 p.
  • 大きさ
    24 cm
  • 親書誌ID
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