Finite Deformation of 2-D Thin Circular Curved Laminated Beams

二維圓形薄疊層曲樑之有限變形研究

10.29548/BGYY.201103.0002

林秋文(Chiu-Wen Lin)

有限變形理論 ； 疊層曲樑 ； 解析解 ； 非線性行為 ； Finite deformation ； Curved laminated beams ； Variable curvatures ； Analytical solutions ； Non-linear behavior

修平學報

22期（2011 / 03 / 01）

19 - 34

英文

本研究應用解析方法，分析研究二維圓形薄疊層曲樑之有限變形；其一般通解以曲樑之基本幾何特性值表示之。當曲率半徑確定時，則曲樑之基本幾何特性值可以計算出；並藉以求得曲樑之剪力、軸向力、彎矩、旋轉角、變形位移場與未變形位移場等物理量之閉合型式解。本文發表了懸臂圓形薄曲樑承受純彎矩作用之閉合型式解，並與有限元素法套裝分析軟體ANSYS分析結果比較；結果非常一致。

An analytical method is derived for obtaining the finite deformation of 2-D thin curved laminated beams. The general solutions are expressed by fundamental geometric quantities. As the radius of curvature is given, the fundamental geometric quantities can be calculated to obtain the closed form solutions of the axial force, shear force, bending moment, rotation angle, and deformed or un-deformed displacement fields. The closed-form solutions of the circular curved laminated beams under pure bending moment case are presented. It shows the consistency of the results of present study with those by ANSYS.

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