为了确定初始挠度变形对加筋板稳定性的影响作用，根据实际情况假设初始挠度为双三角级数形式，利用Ansys计算分析了整体初始挠度的幅值与半波数对弹性失稳压力的影响，并得到初始挠度对加筋板稳定性的影响因子计算方法。计算结果分析表明，随着初始挠度的幅值和半波数的增加，加筋板弹性失稳压力逐渐减小；对于含有某种初始挠度的加筋板，其影响因子主要受加筋板的厚度和加强筋间距的影响，而加筋板长宽比的影响较小，可以忽略。
For the research, the mode of the initial deflection was regarded as the double trigonometric series based on the practical truth and the effect of the amplitude and the number of half-waves on the critical stress entirely was analyzed by computing with ANSYS. The impact factor of the initial deflection was obtained. Results indicate that with the increasing of amplitude and the number of half-waves, the critical stress decreases. For the stiffened plate with one kind of initial deflection, the impact factor is up to the thickness of the stiffened plate and the space between stiffeners. The length-width ratio has little influence on the impact factor and it can be ignored.
2017,39(4): 40-44 收稿日期：2016-06-24
DOI：10.3404/j.issn.1672-7619.2017.04.008
分类号：U663.6
基金项目：国家自然科学基金资助项目（51309231）
作者简介：刘春正(1991-),男,硕士研究生,研究方向为船舶结构强度与振动。
参考文献：
[1] 张涛, 刘土光, 赵耀, 等. 初始缺陷加筋板的屈曲与后屈曲分析[J]. 船舶力学, 2003, 7(1):79-83.
[2] 王伟, 吴梵. 国内船舶结构稳定性研究进展[J]. 船舶工程, 2010, (32):5-9.
[3] EIRIK B. Semi-analytical model for global buckling and postbuckling analysis of stiffened panels 2004[J]. Thin-Walled Structures. 2004, (42):701-717.
[4] 王伟, 吴梵. 单根加筋板整体屈曲临界应力计算与分析[J]. 舰船科学技术, 2010, 32(10):3-7. WANG Wei, WU Fan. Calculating and analysis of the overall buckling's critical stress of single stiffened panels[J]. Ship Science and Technology, 2010, 32(10):3-7.
[5] 单成巍. 循环载荷作用下船体结构的极限强度非线性有限元分析[D]. 武汉:武汉理工大学, 2013.
[6] 杨淼. 基于HCSR的加筋板格非线性屈曲研究[D]. 大连:大连理工大学, 2011.
[7] 万育龙, 朱旭光. 加筋板屈曲和极限强度有限元计算方法研究[J]. 船海工程, 2013, 42(6):17-21.
[8] TEIXEIRA A P, IVANOV L D, GUEDES SOARES C. Assessment of characteristic values of the ultimate strength of corroded steel plates with initial imperfections[J]. Engineering Structures, 2013, 56:517-527.
[9] DONNELL L H. Effect of imperfection on buckling of thin cylinders under external pressure[J]. Journal of Applied Mechanics. Trans, ASME, 1956.
[10] 张二. 初始几何缺陷对锥-环-柱结合壳力学性能影响研究[D]. 武汉:海军工程大学, 2015.
[11] 张晓丹, 杨平. 加筋板在轴向压力下的极限强度研究[J]. 武汉理工大学学报, 2011, 35(2):305-308.
