向量式有限元於三維構架被動控制之應用

Passive Control of 3D Frame Structure Using Vector Form Intrinsic Finite Element Method

蕭程瑞(Hsiao-Cheng Jui)

指導教授 ： 莊清鏘

中原大學/工學院/土木工程學系/碩士(2008年)

https://doi.org/10.6840/cycu200900250

摘要

中文摘要
本文主要利用向量式有限元素法建立剛性元件與空間構架耦合及結構
含各種被動控制元件的模擬方式，並驗證可行性。本文的剛性元件包括空
間剛性桿件及剛性板，利用剛性元件可模擬房屋結構的樓層可提高數值模
擬的計算效率或利用剛性元件建立數值振動台模擬程序，希望能夠更方便
的模擬結構受震行為；被動控制元件包括調諧質塊阻尼器、黏性及黏彈性
液流阻尼器與摩擦單擺支承系統，將被動控制元件的數學或物理模式引入
向量式有限元中，利用向量式有限元內力計算的特性，能直接將被動控制
元件的力-位關係代入計算，簡化被動控制元件的模擬方式。
本文將利用剛體動力學的解析解說明剛性元件模擬的精確性，再利用
SAP2000 模擬的結果說明向量式有限元剛性元件與空間構架耦合、黏性與
黏彈性液流阻尼器及調諧質塊阻尼器模擬的可行性，最後利用狀態空間數
值法說明摩擦單擺支承系統模擬的可行性，同時比較振動台與擬動態數值
模擬的結果，說明利用剛性元件模擬振動台的可行性。

關鍵字

摩擦單擺支承 ； 向量式有限元素法 ； 結構控制 ； 黏彈性液流阻尼器 ； 黏性液流阻尼器 ； 調諧質塊阻尼 ； 振動台

並列摘要

ABSTRACT
In this paper, the coupling of rigid bodies and space frames of vector form
intrinsic finite element (VFIFE) method and simulation procedures of structures
with different passive control components are established and verified, these
rigid bodies include space rigid frames and space rigid plate. These rigid bodies
can be used to construct the floors of structures to increase computational
efficiency or develop a simulation procedure of numerical shaking table to be
more efficient to analyze responses of structures under seismic loading. Passive
control components include Tuned Mass Dampers、Viscous Fluid Dampers、
Viscoelastic Dampers and Friction Pendulum System, an important feature of
VFIFE is that it can directly incorporate mathematical/physical models of
structure passive control components. For the simulation of structure control
system, VFIFE can be used to calculate the relation of force-displacement to
simplifies the calculations of damper’ dynamic responses.
The simulation procedures of rigid bodies are interpreted and tested, and
the coupling of rigid bodies and space frame、Tuned Mass Dampers、Viscous
Fluid Dampers、Viscoelastic Dampers of VFIFE are demonstrated by SAP2000.
Finally, The simulation procedures of Friction Pendulum System of VFIFE are
demonstrated by State Space Method, and compare numerical shaking table with
traditional numerical methods.

並列關鍵字

passive control ； VFIFE ； Tuned Mass Dampers ； Friction Pendulum System ； Viscous Fluid Dampers、Viscoelastic Dampers

參考文獻

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