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  • 學位論文

接觸力與剛體元素及非線性遲滯迴圈材料模型於PNS-PBC程式架構之研究

A Study of the Contact Forces, the Rigid Elements and Nonlinear Hyperelastic Material Models in PNS-PBC Framework

指導教授 : 黃昭勳 王仁佐

摘要


本文主要在國家地震工程研究中心所開發點值計算數值模擬平台(Platform for Numerical Simulation-Point Based Computing, PNS-PBC)程式中新增四項程式功能,分別為五節點與九節點剛體元素、幾何形狀求解器、接觸力模型與非線性遲滯迴圈材料模型。除此之外,亦設計PNS-PBC開發者手冊、PNS-PBC XML使用說明與Vector函式庫使用說明。幾何形狀求解器主要建立不同幾何型狀之面積與體積及轉動慣量。接觸力模型是由勁度與阻尼力疊加而得,此外,本研究特別引入混凝土塊體接觸力模型,可考慮不同幾何接觸狀態下對接觸力之影響。經由數值分析比對結果可以得知,新增程式各項功能確實能有效且精確於PNS-PBC程式架構中使用。

並列摘要


In this study, the main purpose of this study is to add new four functions into the Platform for Numerical Simulation - Point Based Computing (PNS-PBC) framework in National Center for Research on Earthquake Engineering (NCREE). These four functions include the five and nine point rigid elements, the geometry shape solver, the contact force models and the nonlinear hysteresis models. In addition, the PNS-PBC developer, user and vector manuals are written. The geometry shape solver includes the area, volume and moment of inertia. The contact force model is superimposed from the stiffness and damping forces. The contact force for the concrete block can be used to consider the different contact detections such as the line to line and line to surface et al. According to the numerical results, the new functions in PNS-PBC are the accuracy and effective.

參考文獻


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