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不确定载荷下刚架体结构稳健优化设计

DOI: 10.3969/j.issn.1006-7043.201408043

Keywords: 结构优化, 稳健性, 不确定性分析, 架体, 载荷, 结构设计

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Abstract:

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。

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