臺灣博碩士論文加值系統

本研究之目的是於既有的非線性有限元素程式(NSP)中，建立一個三維樑元素的模組。NSP程式是一個泛用的非線性程式，可用於靜態或動態的結構物分析。其主要的程式架構來自於國立成功大學土木系的朱聖浩教授所提出的一份國科會的研究計畫報告。
在本論文中，主要是針對NSP程式新增的三維樑元素及其功能作說明。其相關的程式部份均包含於一個副程式，VBEAM.FOR，之中。這個副程式可以處理三維樑柱元素的雙軸向彎矩及軸力的互制，以及動態負載的情形。有助於NSP程式去分析三維結構物於地震力作用下的非線性行為。

The main purpose of this study is to develop a three-dimensional nonlinear beam element for the NSP program. The NSP program is a general purpose nonlinear finite element software for static and dynamic analyses of structures. The concept behind the program has been developed at the National Cheng-Kung University for a project from the National Science Council.
In this report, extensions made to the NSP are described. And all the extensions are included in a subroutine, vbeam.for, of the NSP program. This subroutine mainly deals with the biaxial moment interaction and the loading behavior of beam-column elements. It can help NSP to analyze three-dimension inelastic structures subjected to earthquake motions.

ABSTRACTI
誌謝II
CONTENTSIII
LIST OF FIGURESVI
LIST OF TABLESVIII
CHAPTER 1. INTRODUCTION1
1.1 Background and purpose1
1.2 Brief account of the research2
1.3 Literature review4
1.4 Illustration of the finite element program5
CHAPTER 2. ELASTO-PLASTIC EQUATIONS OF FINITE
ELEMENT ANALYSIS11
2.1 Introduction11
2.2 Elasto-plastic stress-strain relation11
2.3 Newton-Raphson Method to solve nonlinear equations14
2.4 Evaluation of internal force vector and Gauss-point stress15
2.5 Numerical procedures19
CHAPTER 3. 3D YIELDING SURFACE THEORY22
3.1 Biaxial yielding forces of beam-column22
CHAPTER 4. BASIC THEORY OF BEAM ELEMENT25
4.1 Introduction25
4.2 Three-dimensional beam25
4.3 Fixed end of the element29
CHAPTER 5. 3D 2-NODE BEAM ELEMENT32
5.1 Introduction32
5.2 Assumption and limitation34
5.3 Bilinear force-deformation relationship35
5.4 Input data of yielding surface36
5.4.1 Beam type37
5.4.2 Steel beam-column type37
5.4.3 Concrete beam-column type42
5.5 Loading behavior48
CHAPTER 6. NUMERICAL EXAMPLE50
6.1 Example 150
6.1.1 Introduction50
6.1.2 Input data54
6.1.3 Element analysis55
6.1.4 Output data56
6.2 Example 258
6.3 Example 361
6.4 Example 463
CHAPTER 7. CONCLUSIONS AND FUTURE WORKS66
7.1 Conclusions66
7.2 Future works67
REFERENCES68

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