本文使用有限元素軟體 ANSYS Workbench 16.0 對不同圓孔直徑與不同圓孔方向圓孔管在循環彎曲負載下的力學行為進行模擬分析。本研究所分析的圓孔管材料為6061-T6鋁合金，其中不同的圓孔直徑分別為：2、4、6、8及10mm，而不同的圓孔方向分別為：0、30、60 及 90度。至於所探討的力學行為包含有：彎矩-曲度及橢圓化-曲度的關係。
對於彎矩-曲度的關係，實驗與ANSYS分析發現，不同直徑或不同方向的圓孔對彎矩-曲度關係的影響並不顯著。而對於橢圓化-曲度的關係，實驗與ANSYS分析發現，隨著圓孔直徑愈大，橢圓化-曲度關係從原本左右對稱的曲線逐漸呈現左高右低的字形曲線。此外，若考慮直徑相同的圓孔管，隨著角度的增加，橢圓化-曲度的關係由不對稱的狀態會漸趨近於對稱的狀態，而當圓孔方向為90度時，橢圓化-曲度的關係幾乎呈現左右對稱的狀態。

In this thesis, the finite element software ANSYS Workbench 16.0 is used to study the behavior for Round-hole Tubes under Cyclic Bending.
The material of the tubes is 6061-T6 aluminum alloy. The Round-hole diameters are 2, 4 ,6 , 8 and 10 mm; the angles of Round-hole are 30,60 and 90 degree. The investigating physical quantities are the relationship among moment, ovalization and curvature. It can be found that the Round-hole diameter and angle have no significant influence on moment-curvature. The ovalization-curvature relationship exhibits a left-and-right symmetrical and ratcheting manner with a smaller Round-hole diameter. However, the relationship becomes left-high and right-low of  shape trend along with the increase of the Round-hole diameter. For a fixed Round-hole diameter, when the angle of the Round-hole becomes bigger and bigger ,the ovalization-curvature relationship becomes more symmetrical .However, the angle of Round-hole is 90 degree, the ovalization-curvature relationship becomes
symmetrical.

1.S. Kyriakides and P. K. Shaw,“ Response and Stability of Elastoplastic Circular Pipe under Combined Bending and External Pressure”, International Journal of Solids and Structures, Vol.18, No.11, pp.957-973 (1982).

2.P. K. Shaw and S.Kyriakides,“Inelastic Analysis of Thin-Walled Tubes under Cyclic Bending”, International Journal of Solids and Structures,Vol.21,No.11, pp.1073-1100 (1985).

3.S. Kyriakides and P. K. Shaw,“ Inelastic Buckling of Tubes Under Cyclic Bending”, Journal of Pressure Vessel Technology,Vol.109,pp.169-178(1987)。

4.E. Corona and S. Kyriakides,“An Experimental Investigation Degradation and Buckling of Circular Tubes Under Cyclic Bending and Buckling of Circular Tubes Under Cyclic Bending and External Pressure”, Thin-Walled Structures Vol.12, pp.229-263(1991)。

5.W. F. Pan,T. R. Wang and C. M. Hsu,“ A Curvature- ovalization Measurement Apparatus for Circular Tubes Under Cyclic Bending”, Experimental Mechanics Vol.38, No.2, pp.99-102 (1998)。

6.W. F. Pan and Y. S. Her,“Viscoplastic Collapse of Thin- Walled Tubes Under Cyclic Bending”, Journal of Engineering Materials and Technology,Vol.120,pp.287-290 (1998)。

7.K. L. Lee, W. F. Pan and J. N. Kuo,“The Influence of the Diameter-to-thickness Ratio on the Stability of Circular Tubes Under Cyclic Bending”, International Journal of Solids and Structures Vol.38,pp.2401-2413 (2001)。

8.K. L. Lee, W. F. Pan and C. M. Hsu, Experimental and theoretical evaluations of the effect between diameter-to-thickness ratio and curvature-rate on the stability of circular tubes under cyclic bending, JSME International Journal, Series A, Vol. 47, No. 2, pp. 212-222 (2004).

9.K. H. Chang, W. F. Pan and K. L., Mean moment effect on circular thin-walled tubes under cyclic bending, Structural Engineering and Mechanics, Vol. 28, No. 5, pp. 495-514 (2008).

10.K. L. Lee, C. Y. Hung and W. F. Pan, Variation of ovalization for sharp-notched circular tubes under cyclic bending, Journal of Mechanics, Vol. 26, No. 3, pp. 403- 411 (2010).

11.K. L. Lee, C. M. Hsu and W. F. Pan, The influence of diameter-to-thickness ratios on the response and collapse of sharp-notched circular tubes under cyclic bending, Journal of Mechanics, Vol. 28, No. 3, pp. 461-468 (2012).

12.李國龍、洪兆宇和潘文峰，循環彎曲負載下橢圓形凹槽圓管皺曲損壞之實驗分析，中正嶺學報，第四十一卷，第二期，183-190頁(2012)。

13.K. L. Lee, Y. T. Chan and W. F. Pan, Finite element ANSYS analysis of the behavior for 6061-T6 aluminum alloy tubes under cyclic bending with external pressure, Journal of Civil Engineering and Architecture, Vol. 8, No. 6, pp. 673-679 (2014).

14.K. L. Lee, Y. Wang and W. F. Pan, Finite element analysis on the response of local sharp-notched circular tubes under cyclic bending, Key Engineering Materials, Vol. 626, pp. 34-39 (2015).

15.曾詠茹，「有限元素分析不同外徑/壁厚比局部圓形凹痕圓管在循環彎曲負載下之行為」，國立成功大學工程科學系碩士論文，(2016)。

16.陳立揚，「不同外徑/壁厚比對圓形凹痕圓管在循環彎曲負載下行為影響之理論研究」，國立成功大學工程科學系碩士論文，(2017)。

17.邱易賦，「圓孔管在循環彎曲負載下行為之研究」，國立成功大學工程科學系碩士論文，(2018)。

18.黃俊豪，「圓孔方向對圓孔在循環彎曲負載下行為影響之研究」，國立成功大學工程科學系碩士論文，(2018)。