复合材料点阵夹芯梁振动特性区间分析与优化

考虑到复合材料的分散性,研究了复合材料点阵夹芯梁的自由振动特性.将不确定参数用区间向量进行定量化,提出高精度的含不确定参数复合材料点阵夹芯梁固有频率的配点型区间分析方法,该方法无需不确定参数的概率信息,只需明确不确定参数所在范围界限,进而实现复合材料点阵夹芯梁结构的不确定优化.该方法为解决非线性现象突出的新型复合材料设计等复杂问题提供了一个可行途径.与概率方法相比,区间分析方法的结果表明该方法是可行的.与确定性优化方法相比,区间优化方法在复合材料结构优化领域能够充分考虑结构潜在不确定性带来的不利影响,工程指导意义更为明显.

Interval analysis and optimization for free vibration of all-composite lattice truss core sandwich beam

Considering the uncertainties in composite materials, free vibration of all-composite lattice truss core sandwich beam was studied. By expressing the uncertain parameters in the form of interval vector, a high-accurate collocation interval analysis method, which requires the intervals rather than probability distribution functions of uncertainties, was proposed to calculate the natural frequency of all-composite lattice truss core sandwich beam with uncertain-but-bounded parameters and based on which interval optimization was accomplished. A feasible way for the design of novel composite materials with serious nonlinear phenomena was provided. Compared with the probabilistic analysis method, the results demonstrate the feasibility of interval analysis method and interval optimization method is of more engineering significance than deterministic optimization technique in the design of composite structures by fully considering the potential negative impact from uncertainties.