卷边加筋肋约束下正交各向异性板剪切屈曲荷载的近似公式

doi:10.19936/j.cnki.2096-8000.20260428.005

复合材料科学与工程 ›› 2026, Vol. 0 ›› Issue (4): 36-43.DOI: 10.19936/j.cnki.2096-8000.20260428.005

卷边加筋肋约束下正交各向异性板剪切屈曲荷载的近似公式

丁慧¹, 刘庆辉^1*, 乔丕忠²

1.河海大学力学与工程科学学院,南京 211100;
2.上海交通大学船舶海洋与建筑工程学院,上海 200240

收稿日期:2025-02-19 发布日期:2026-06-16
通讯作者: 刘庆辉(1986—),男,博士,副教授,硕士生导师,研究方向为界面力学和复合材料力学,hhulqh@ hhu.edu.cn。
作者简介:丁慧(2000—),女,硕士研究生,研究方向为复合材料结构设计与稳定性分析。
基金资助:
国家自然科学基金(52279129)

Approximate formulas of shear buckling load of orthotropic plates restrained by lipped stiffeners

DING Hui¹, LIU Qinghui^1*, QIAO Pizhong²

1. College of Mechanics and Engineering Science, Hohai University, Nanjing 211100, China;
2. School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received:2025-02-19 Published:2026-06-16

摘要/Abstract

摘要： 构造恰当的屈曲形函数,采用瑞利-里兹法求解两对边简支、另外两对边受卷边加筋肋约束的正交各向异性板临界剪切屈曲荷载的解析解。引入无量纲正交各向异性参数、翘曲约束系数和两类屈曲系数,利用曲线拟合技术得到卷边加筋肋约束下正交各向异性板临界剪切屈曲荷载的近似计算公式。将得到的近似公式与解析解、转换解和ANSYS数值解进行对比,验证近似公式的有效性和通用性。求解得到的近似公式可以应用到具有卷边翼缘的复合材料型材的剪切局部屈曲分析中。

关键词: 正交各向异性板, 临界屈曲荷载, 瑞利-里兹法, 卷边加筋肋, 均匀剪切, 复合材料

Abstract: The analytical solution for in-plane shear-loaded orthotropic plates, where two opposite edges are simply supported and the other two are restrained by lipped stiffeners with warping stiffness, is obtained using the Rayleigh-Ritz method and a proper buckled shape function. By introducing generic non-dimensional parameters, i.e., orthotropic material parameters, warping constraint coefficient, and two types of buckling coefficients, the approximate formulas of the critical shear buckling load of orthotropic plates restrained by lipped stiffeners with warping stiffness are obtained by using the curve-fitting technique. The effectiveness and generality of the approximate formulas are validated with the analytical and transformed solutions, and ANSYS numerical analysis. The obtained approximate formulas can be applied to the local buckling analysis of composite beams with edge-stiffened flanges subjected to shear loads.

Key words: orthotropic plates, critical buckling load, Rayleigh-Ritz method, lipped stiffeners, uniform shear, composites

中图分类号:

TB332

丁慧, 刘庆辉, 乔丕忠. 卷边加筋肋约束下正交各向异性板剪切屈曲荷载的近似公式[J]. 复合材料科学与工程, 2026, 0(4): 36-43.

DING Hui , LIU Qinghui , QIAO Pizhong. Approximate formulas of shear buckling load of orthotropic plates restrained by lipped stiffeners[J]. COMPOSITES SCIENCE AND ENGINEERING, 2026, 0(4): 36-43.

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卷边加筋肋约束下正交各向异性板剪切屈曲荷载的近似公式

Approximate formulas of shear buckling load of orthotropic plates restrained by lipped stiffeners

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