Optimization of Uncertain Structures with Interval Parameters Considering Objective and Feasibility Robustness

For the purpose of improving the mechanical performance indices of uncertain structures with interval parameters and ensure their robustness when fluctuating under interval parameters, a constrained interval robust optimization model is constructed with both the center and halfwidth of the most important mechanical performance index described as objective functions and the other requirements on the mechanical performance indices described as constraint functions. To locate the optimal solution of objective and feasibility robustness, a new concept of interval violation vector and its calculation formulae corresponding to different constraint functions are proposed. The math?ematical formulae for calculating the feasibility and objective robustness indices and the robustness?based preferential guidelines are proposed for directly ranking various design vectors, which is realized by an algorithm integrating Kriging and nested genetic algorithm. The validity of the proposed method and its superiority to present interval optimization approaches are demonstrated by a numerical example. The robust optimization of the upper beam in a high?speed press with interval material properties demonstrated the applicability and effectiveness of the proposed method in engineering.

BaTiO_(3)-based ceramics with high energy storage density

BaTiO_(3)ceramics are difficult to withstand high electric fields,so the energy storage density is relatively low,inhabiting their applications for miniaturized and lightweight power electronic devices.To address this issue,we added Sr_(0.7)Bi_(0.2)TiO_(3)(SBT)into BaTiO_(3)(BT)to destroy the long-range ferroelectric domains.Ca^(2+)was introduced into BT-SBT in the form of CaTiO_(3)(CT),which has the effect of inhibiting the movement of A-site defects to reduce dielectric loss and refining the grains to increase the breakdown field strength.In addition,we have increased the density and grain uniformity of ceramics by repeated rolling of the green samples through the viscous polymer processing(VPP),to further increase the breakdown electric field.The BT-SBT-CT ceramics exhibit the high recoverable energy storage density of 4.0 J·cm^(-3)under electric field of 480 kV·cm^(-1).Its recoverable energy storage density varies by less than 8%in the temperature range of 30-150℃,indicating good temperature stability of the energy storage performance.In this work,the energy storage performance of barium titanate-based ceramics was greatly improved by transforming ferroelectrics into relaxor ferroelectrics and VPP method,which can bring new inspiration for the research of energy storage ceramics.

含区间参数的不确定性结构直接可靠性设计优化（英文）

目的:为提高含区间参数不确定性结构的可靠性,提供一种基于区间模型的不确定性结构的高效可靠性设计优化方法。创新点:1.提出结构性能指标区间可靠度的统一计算公式;2.提出区间可靠度违反度的概念和基于区间可靠度违反度的优于关系准则;3.提出并实现区间可靠性优化模型的高效直接智能求解算法。方法:1.借鉴图表法并克服其局限,给出计算区间可靠度的统一公式(公式2);2.利用Kriging近似模型和内层遗传算法计算结构性能指标在不确定性参数影响下的变化区间,从而计算出区间可靠性优化模型中各结构性能指标的区间可靠度及其违反度;3.基于区间可靠度违反度的优于关系准则,通过外层遗传算法实现各结构设计矢量的直接优劣排序和区间可靠性优化模型的直接智能求解;4.通过典型算例(图3和4、表2)和工程应用实例(图8和9、表7)验证所提方法的有效性和相比间接求解方法的优越性。结论:1.考虑结构性能指标可靠性要求的不确定性结构区间可靠性设计优化模型能够有效反映实际工程中提高不确定结构可靠性的需求;2.引入区间可靠度违反度的概念和基于可靠度违反度的优于关系准则,利用嵌套遗传算法和Kriging近似模型可实现不确定性结构区间可靠性优化模型的直接高效智能求解;3.提出的区间可靠性优化模型直接求解方法能比间接方法获得更优的解。