遲滯軟化膜元模型於鋼筋混凝土結構分析

Analysis of Reinforced Concrete Structures using Cyclic Softened Membrane Model

曾柏翰(Po-Han Tseng)

指導教授 ： 王仁佐 ； 林炳昌

中原大學/工學院/土木工程研究所/碩士(2013年)

https://doi.org/10.6840/cycu201300948

摘要

本文主要研究方法採用基本理論主要參考Thomas. T.C. Hsu所發展遲滯軟化模元模型(Cyclic Softened Membrane Model, CSMM)鋼筋混擬土理論，再以C++程式語言撰寫CSPanel程式，並繪製鋼筋混土與混擬土莫爾圓及鋼筋應力與應變圖，來探討鋼筋混凝土版受撓剪力作用下受力變形行為。撰寫程式功能除可考慮純剪應力CSMM[1]，亦可考慮正向應力Generalized SMM模型[24]。為了使讀者能容易瞭解CSMM計算方法，本研究特別設計一套計算流程與計算式結合分析流程圖表達方法。經由程式計算結果可得知鋼筋混土與混擬土及鋼筋莫爾圓，滿足力平衡方程式、變形諧和方程式三大力學基本定律。實驗[1] [24]與數值分析結果比對證明成程式的精確性與可信度。

關鍵字

正向應力CSMM ； 純剪應力CSMM ； C++ ； 遲滯軟化模元模型(CSMM) ； CSPanel

並列摘要

In this study, the main purpose is to develop a numerical program using cyclic softened membrane model (CSMM) of shear wall. This Program called CSPanel. The C++ programming language is used to write this numerical code. The CSPanel can be used to simulate having the normal stresses on the reinforced concrete (RC). CSPanel can output two stress Mohr circles of RC and concrete, and one concrete strain Mohr circles. In addition, the CSPanel have output files of the stress-strain relationships. In order to express the computing procedures of the CSMM, a simple flow chart is proposed. This CSMM flow char is easy to explain two concepts of the equilibrium and compatibility of RC. According to compare the experiments and the numerical results, they are very close. It confirms the effective and accurate of proposed two formulates of the concrete.

並列關鍵字

pure shear ； cyclic softened membrane model (CSMM) ； normal stress. ； C++ ； CSPanel

參考文獻

4. Nielsen, M.P. “Om Forskydningsarmering i Jernbetonbjaelker,”(On Shear Reinforcement in Reinforced Concrete Beams), Bygningsstatiske Meddeleser,Vol. 38,No 2, pp.33-58, (1967).

11. Hsu, T. T. C.”Toward a Unified Nomenclature for Reinforced Concrete Theory,” Journal of Structural Engineering, ASCE, Vol. 122, No. 3, pp. 275-283, (1996).

12. Vecchio, F.J. and Collins, M.P.”The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” Journal of the American Concrete Institute, Proceedings, Vol. 83, No. 2, pp.219-231, (1986).

14. Abdeldjelil Belarbi, Hsu, T. T. C. “Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened by Concrete,” ACI Structural Journal, Vol. 91, No. 4,(1994).

15. Abdeldjelil Belarbi, Hsu, T. T. C. “Constitutive Laws of Softened Concrete in Biaxial Tension-Compression,” ACI Structural Journal, Vol. 92, No. 5,pp.562-573, (1995).