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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/69330

    Title: 二維固體有限元素之幾何非線性動力分析
    Authors: 張顥;Chang,Hao
    Contributors: 土木工程學系
    Keywords: 計算力學;幾何非線性;共轉座標演算法;非耦合型態;隱式Newmark-β 法;二維固體元素;computational mechanics;geometric nonlinearity;corotational formulation;uncoupled;implicit Newmark-β method;plane solid element
    Date: 2016-01-27
    Issue Date: 2016-03-17 17:58:16 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 結構分析之首要目的為決定結構體系在已知載重下所對應構件
    析,探討其於高度非線性分析上之能力。;The main idea of structural analysis is to determine the stress, strain and
    displacement of the system. Before the computational mechanics had
    been developed, several analysis were conducted by treating the
    structures as a series of bar, beam, plate and shell members and derived
    the simplified governing equations which were based on the mechanics of
    material and structural mechanics.
    Since the computers have been developed, mechanics finally can combine
    with the numerical analysis, the computational mechanics started to be
    widely applied and had a great effect on convenience and solving difficult
    problems. Among several numerical method, the nonlinear finite element,
    which is based on the principle of virtual work, can give more accuracy in
    the analysis, but sometimes the derivation is too complicated, also,
    traditional finite element method is of coupled matrix formulation, this
    phenomenon lead to a difficult point on solving the simultaneous
    equations if the structural system is huge enough or the mechanical
    behavior is complex, when a system contains the above problems the
    matrix calculation will waste too much time or even can make the matrix
    solution singular.
    In order to solve the problems of traditional finite element, in this study
    we consider an easy way to treat the geometric nonlinearity, that is,
    corotational formulation, also, constructing the uncoupled-type equations
    of motion and solving them by the use of implicit Newmark-β method,
    and deriving nonlinear plane solid elements as well as testing their ability
    at highly geometrically nonlinear analysis.
    Appears in Collections:[土木工程研究所] 博碩士論文

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