复合材料波纹板在剪切载荷下的屈曲特性分析与可靠性优化

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摘要飞机机翼的墙腹板广泛采用复合材料波纹板结构，该结构在剪切载荷作用下的屈曲可靠性是其设计中必须考虑的因素。基于波纹板等效拉伸和弯曲刚度模型，采用Ritz法和最小势能原理，推导了复合材料波纹板临界剪切屈曲载荷的计算方法；充分考虑复合材料属性及外载荷中存在的不确定性，采用区间向量实现不确定参数的定量化；借助参数顶点法确定屈曲载荷因子的上下界,提出了剪切载荷作用下屈曲可靠性的区间分析方法；利用区间可能度指标刻画剪切屈曲可靠度，建立了含不确定参数的复合材料波纹板区间可靠性优化模型。数值算例表明，本文方法与有限元方法(FEM)相吻合，优化结果验证了所建立的区间可靠性优化模型及算法的有效性。

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关键词 ：复合材料, 波纹板, 屈曲, 不确定性, 区间分析, 可靠性优化

Abstract：

Composite corrugated plates are widely used in the wall web of aircraft wing and the buckling reliability under shear loading is a factor that should be considered during the design of corrugated plates. Based on the equivalent models of flexural and extensional rigidities, an analytical method of critical shear buckling loads of composite corrugated plates is derived by utilizing Ritz method and the principle of minimum potential energy. The uncertainties in composite structural parameters and external load are fully considered and quantified by interval vectors. By virtue of the vertex solution theorem, the response range of buckling factor could be predicted and the interval analytical method of buckling reliability subjected to shear loading is established. The interval possible degree is adopted to describe the reliability of shear buckling. An interval reliability optimization model to address the effects of parametric uncertainties is proposed aiming at composite corrugated plates. Numerical examples indicate the results by both the presented method and FEM agree very well and the optimal results demonstrate the effectiveness of proposed interval reliability optimization model and algorithm.

Key words： composite materials corrugated plate buckling uncertainty interval analysis reliability optimization

收稿日期: 2015-05-12 出版日期: 2016-09-25

引用本文:

郑宇宁 1,邱志平 1，苑凯华 2. 复合材料波纹板在剪切载荷下的屈曲特性分析与可靠性优化[J]. 振动与冲击, 2016, 35(19): 7-14.
ZHENG Yuning 1 QIU Zhiping 1 YUAN Kaihua 2. Buckling performance analysis and reliability optimization of composite corrugated plate under shear loading. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(19): 7-14.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I19/7

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