王永亮. 含裂纹损伤圆弧曲梁弹性屈曲的有限元网格自适应分析[J]. 工程力学, 2021, 38(2): 8-15, 35. DOI: 10.6052/j.issn.1000-4750.2020.03.0173
引用本文: 王永亮. 含裂纹损伤圆弧曲梁弹性屈曲的有限元网格自适应分析[J]. 工程力学, 2021, 38(2): 8-15, 35. DOI: 10.6052/j.issn.1000-4750.2020.03.0173
WANG Yong-liang. ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR ELASTIC BUCKLING OF CRACKED CIRCULARLY CURVED BEAMS[J]. Engineering Mechanics, 2021, 38(2): 8-15, 35. DOI: 10.6052/j.issn.1000-4750.2020.03.0173
Citation: WANG Yong-liang. ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR ELASTIC BUCKLING OF CRACKED CIRCULARLY CURVED BEAMS[J]. Engineering Mechanics, 2021, 38(2): 8-15, 35. DOI: 10.6052/j.issn.1000-4750.2020.03.0173

含裂纹损伤圆弧曲梁弹性屈曲的有限元网格自适应分析

ADAPTIVE MESH REFINEMENT ANALYSIS OF FINITE ELEMENT METHOD FOR ELASTIC BUCKLING OF CRACKED CIRCULARLY CURVED BEAMS

  • 摘要: 该文建立圆弧形曲梁裂纹的截面损伤缺陷比拟方案,实现裂纹大小(深度)、位置、数目的模拟。引入变截面Euler-Bernoulli梁的h型有限元网格自适应分析方法,求解含裂纹损伤圆弧曲梁弹性屈曲问题,得到优化的网格和满足预设误差限的高精度屈曲荷载和屈曲模态解答。数值算例表明该算法中网格非均匀加密可适应裂纹损伤引起的屈曲模态变化,应用于各类曲梁夹角和裂纹损伤分布工况下的弹性屈曲研究,定量分析了裂纹损伤程度对圆弧曲梁的屈曲荷载和屈曲模态的影响,检验了该文算法的精确性和可靠性。

     

    Abstract: The scheme for the cross-section damage defects in circularly curved beam is established to simulate the magnitude (depth), location and number of the cracks. The h-version adaptive finite element method for non-uniform Euler-Bernoulli beam is introduced to solve the elastic buckling of circularly curved beam with cracks. Using the proposed method, the final optimized meshes and high-precision buckling loads and modes meeting the preset error tolerance can be obtained. Numerical examples show that the non-uniform mesh refinement can adapt to the change of buckling mode induced by crack damage, which is applied to the elastic buckling analysis for some typical kinds of subtended angles and crack damage distribution conditions of circularly curved beams. Furthermore, the influence of crack damage on the buckling load and mode of circular curved beams is quantitatively analyzed, and the accuracy and reliability of the proposed algorithm are verified.

     

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