CAJ | 학술논문

针对工程结构承受扰动载荷难以准确获得的问题，开展对刚架体结构稳健优化设计方法研究。根据结构载荷响应以及不确定载荷边界的波动幅度，引入Information?Gap理论量化处理不确定参量。以结构应力约束为边界条件构建稳健函数，将结构能容许不确定载荷最大波动幅度作为评价结构的稳健性指标，构造稳健性函数最大化为目标的优化模型，为了克服求解上的困难，构造半定规划的形式对优化模型求解。通过数值仿真算例验证稳健性优化模型的有效性和可行性，通过优化前后结果对比，表明该方法能提高优化效率，更好发挥结构潜能，增强结构抵抗不确定载荷的能力，达到提高稳健性目的。
침대공정결구승수우동재하난이준학획득적문제，개전대강가체결구은건우화설계방법연구。근거결구재하향응이급불학정재하변계적파동폭도，인입Information?Gap이론양화처리불학정삼량。이결구응력약속위변계조건구건은건함수，장결구능용허불학정재하최대파동폭도작위평개결구적은건성지표，구조은건성함수최대화위목표적우화모형，위료극복구해상적곤난，구조반정규화적형식대우화모형구해。통과수치방진산례험증은건성우화모형적유효성화가행성，통과우화전후결과대비，표명해방법능제고우화효솔，경호발휘결구잠능，증강결구저항불학정재하적능력，체도제고은건성목적。
In order to solve the uncertain disturbing load problem for rigid frame structures in practical engineering, a model for robust optimization is proposed in this paper. Firstly, the Information?Gap theory is utilized to quantita?tively calculate the uncertain?loading variables based on the analysis of the structural loading response and the range of the uncertain loading at the boundary. Secondly, the robustness function model is established with the structural stress constraints taking into account as the boundary condition and then taking the maximal fluctuation range of in?definite load that can be borne by the structure as the index to evaluate structural robustness. Next, the optimization model is conducted to formulate a robustness function to achieve maximization in loading. Semi?definite program?ming is employed to deal with some of the difficult problems in mathematical solution. Finally, numerical simula?tions are carried out and the results showed that the robustness optimization scheme is feasible and effective in reali?zing structural optimization. Compared with the traditional optimization results, the proposed robustness optimization method can increase optimization efficiency, develop potential and improve the resistance ability of the frame struc?tures in uncertain loading.