考慮應變硬化材料之中空圓柱極限轉速彈塑性分析

Elastic-plastic Analysis of Limit Angular Velocity of Rotating Hollow Cylinders of Strain-hardening Materials

呂學育(Shyue-Yuh Leu) ； 李坤昱(Kun-Yu Lee)

《中華技術學院學報》 39期 (2008/12) Pp. 37-51

https://doi.org/10.7095/JCIT.200812.0037

摘要

本文採用彈塑性分析探討中空圓柱的極限轉速，假設問題可簡化為平面應變條件，所考慮之材料具有非線性之等向性應變硬化的性質，且遵循von Mises降伏準則。文中以有限元素分析套裝軟體ABAQUS作為此非線性問題之彈塑性分析的工具，而對於數值分析則採取角速度做為目標值，以作為穩定轉速模擬之策略。所得之分析結果與文獻上的塑性極限分析理論解作比較，嚴謹地驗證數值分析之準確性。由分析結果顯示，此一非線性問題呈現結構硬化及軟化行為之交互作用的現象，其中硬化現象來自於材料的應變硬化性質，包括降伏強度飽和值與初始值的比值、應變硬化指數，而軟化現象則肇因於旋轉運動之擴張變形。而隨著圓柱旋轉運動歷程，其極限轉速之變化取決於此硬化及軟化因子之相對大小。

關鍵字

極限轉速 ； 中空圓柱 ； 非線性等向性應變硬化 ； 平面應變條件 ； 彈塑性分析 ； 有限元素分析

並列摘要

The paper presents the elastic-plastic analysis of limit angular velocity of rotating hollow circular cylinders of the von Mises model with nonlinear isotropic strain hardening. The computer code ABAQUS is utilized to deal with the nonlinear plane-strain problem by using the angular velocity control as the numerical strategy. Particularly, the problem concerned features in the interaction between strengthening and weakening behavior during the rotating process. The strengthening behavior results from the material hardening properties. And the weakening phenomenon is corresponding to the widening deformation of a cylinder during the rotating process. Finally, validation of the present investigation is confirmed by good agreement between the numerical results and analytical solutions available in literature.

並列關鍵字

limit angular velocity ； hollow cylinder ； nonlinear isotropic strain hardening ； plane strain condition ； elastic-plastic analysis ； finite element analysis