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  2021, Vol. 42 Issue (5): 576-585    DOI: 10.19636/j.cnki.cjsm42-1250/o3.2021.033
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薄宽带材局部纵向屈曲的辛弹性力学求解方法
于海军1,何安瑞1,孙文权2
1. 北京科技大学国家板带生产先进装备工程技术研究中心
2. 北京科技大学高效轧制国家工程研究中心
Symplectic elasticity method for local longitudinal buckling of thin and wide strips
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摘要 局部纵向屈曲是普遍存在于薄宽带材生产过程的板形缺陷,是屈曲研究的难点,精确的解析求解方法对局部纵向屈曲形成机理的研究和板形质量的提高具有重要意义。本文将任意位置的局部纵向屈曲分为带材边部和内部两类,采用辛弹性力学方法直接推导得到了局部纵向屈曲区域承受不同边界约束条件时的临界屈曲应力和屈曲挠度函数,并将求解结果与有限元和相关文献结果进行了对比。结果表明:辛弹性力学方法与有限元方法相比具有相同计算精度和更高的计算效率,计算精度高于传统能量法;带材边界的约束条件对临界屈曲应力、屈曲区域几何形状和屈曲挠度函数均存在显著影响,验证了传统能量法求解的不足,有利于提高局部屈曲计算精度。
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于海军
何安瑞
孙文权
关键词 薄宽带材局部纵向屈曲辛弹性力学解析求解thin and wide strip local longitudinal buckling symplectic elasticity analytical solution    
Abstract:Local longitudinal buckling is a flatness defect commonly found in the production process of thin and wide strips, and it is a difficult point in buckling research. An accurate analytical solution method is very important for the research of local longitudinal buckling formation mechanism and the improvement of strip flatness quality. In this paper, the local arbitrary longitudinal buckling of the strip is divided into two types: the edge and the interior of the strip. The symplectic elastic method is used to directly derive the critical buckling stress and buckling deflection function when the local longitudinal buckling area is subjected to different boundary constraints and the solution results are compared with the finite element and related literature. The result shows that the symplectic elasticity method has the same calculation accuracy and higher calculation efficiency than the finite element method, and the calculation accuracy is higher than that of the energy method in the reference; The critical buckling stress, buckling area geometry and buckling deflection function are affected by the strip boundary constraint conditions, which verifies the shortcomings of energy method and helps to improve the accuracy of local buckling calculation.
收稿日期: 2020-08-25      出版日期: 2021-10-21
ZTFLH:  TG333.7+2  
基金资助:国家自然科学基金资助项目;广西创新驱动发展专项资金项目
通讯作者: 孙文权     E-mail: sunwenquan_ustb@163.com
引用本文:   
于海军 何安瑞 孙文权. 薄宽带材局部纵向屈曲的辛弹性力学求解方法[J]. , 2021, 42(5): 576-585.
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