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,该方法与有限元方法(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。
Composite corrugated plates are widely used in wall webs of aircraft wings and their buckling reliability under shear loading is a key factor to be considered during the design of corrugated plates. Based on their equivalent models with flexural and tensional rigidities, a computation method for critical shear buckling loads of composite corrugated plates was derived by utilizing Ritz method and the principle of minimum potential energy. The uncertainties in composite structural parameters and external load were fully considered and quantified with interval vectors. By means of the vertex solution theorem, the response ranges of buckling factors were predicted and the interval analysis method of buckling reliability under shear loading was proposed. The interval possible level was adopted to describe the reliability of shear buckling. An interval reliability optimization model containing effects of parametric uncertainties was proposed for composite corrugated plates. Numerical examples indicated that the results with the proposed method and those with FEM agree well and the optimal results verifies the effectiveness of the proposed interval reliability optimization model and algorithm.
出处
《振动与冲击》
EI
CSCD
北大核心
2016年第19期7-14,25,共9页
Journal of Vibration and Shock
基金
国家自然科学基金项目(11432002)
国防基础科研计划项目(A0420132101
JCKY2013601B001
A0820132001)
高等学校学科创新引智计划项目(B07009)
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
composite materials
corrugated plate
buckling
uncertainty
interval analysis
reliability optimization
