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研究生:詹佳潢
研究生(外文):Tsan, Chia-Huang
論文名稱:土木結構系統動態接觸行為之流形分析法
論文名稱(外文):A Study of Dynamic Contact Behaviors of Civil Infrastructure Systems by the Manifold Method
指導教授:王仲宇
指導教授(外文):Chung-Yue Wang
學位類別:碩士
校院名稱:國立中央大學
系所名稱:土木工程學系
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:1996
畢業學年度:84
語文別:中文
論文頁數:84
中文關鍵詞:流形分析法互擊行為擬動態分析
外文關鍵詞:Manifold MethodPoundingQuasi-dynamic
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地震發生時結構物隨著地震波擺動,結構物元件間的動態接觸行為極可能
造成結構物損壞。相鄰結構物間發生的互擊行為和落橋都是由於結構物在
地震力作用下與相鄰結構物或結構物元件之間發生動態接觸行為,藉由地
震力所造成的慣性產生極大的衝擊力造成結構物損壞。本論文引用石根華
博士所提出的流形分析法,一種結合有限元素(F.E.M.)及不連續變形分析
法(D.D.A.)的數值分析方法,建立結構物的平面彈性力學分析模型,分析
結構物間的動態接觸行為,此一分析方法在接觸點的判斷、損傷模擬及較
完整的力學現象分析方面,將有別於其它類似研究文章中所提出的集中質
量模型,而可使用連續體力學的概念進行探討。在數值模擬的探討過程中
以懸臂樑自由端受載的問題驗證本程式中有限元素部份的可靠性,以方塊
飛行問題將本程式中慣性力的性質與剛體等速度運動公式比較,並分別以
半球體受均佈力下壓問題及自由落體問題討論本程式中接觸彈簧在靜態接
觸和動態接觸方面的性質,對於地震力作用下結構系統的動態接觸行為模
擬時則使用擬動態方法施與結構物模型地震力,以期作為日後進行土壤結
構互制彈塑性行為模擬的基礎。平面彈性力學方法在流形分析法之基礎研
究及隨後結構損傷補強分析設計上將具有相當的發展空間,本論文嘗試將
流形分析法引入地震工程領域可作為未來研究流形分析法及結構物間互擊
行為研究者的一項參考。

Earthquakes Damage civil engineering structures every year and
many examples of the occurrence of serious structural and
nonstructural damage due to pounding between adjacent structures
during major earthquakes have been reported in the literature
over the past two decades. In this thesis, a new computational
mechanics method called the "manifold method"was used to perform
the contact behavior analysis between structural elements. The
main objective of this study is to construct a preliminary
tworthquake related structural dynamic problems. Based on this
model, failure/damage analysis, soil-structural interaction
problems, pounding of buildings or bridge structural elements
and impact/penetration mechanics of concrete structures can be
proceeded in the future. The manifold method is a more
generalized finite element type method. This dynamic formulated
method has the capability of dealing with the dynamic contact
behaviors among deformable bodies. Therefore, it is quite
suitable for the impact/contact analysis in solid mechanics.
Fundamental theory and formulation of the manifold method with
triangular finite element mesh on each deformable body are
presented in detail. The accuracy and efficiency of the newly
developed computational code have been evaluated by some
benchmark problems in the contact and impact mechanics. Through
the study, it is found that the stiffness value of the penalty
spring having very strong effects on the analysis results. Some
guide laws for selecting suitable penalty value are proposed in
the paper. A Quasi-static analysis algorithm has been included
into the manifold analysis code for inputting earthquake
excitation on the structural system. Numerical simulation of a
column pounding with a fixed point shows the contact force
history, deformation modes and stress variations during the
period of external loading. Based on these calculated results,
structural engineers can conduct more effective seismic retrofit
and damage rehabilitation designs of civil infrastructure
systems.

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