基于不确定理论帐篷框架可靠性拓扑优化设计

TOPOLOGY OPTIMIZATION DESIGN OF RELIABILITY STRATEGY FOR TENT FRAME BASED ON UNCERTAINTY THEORY

基于不确定理论,针对帐篷研发设计和实际工况的不确定因素,构建了在材质和工况均不确定条件下的有限元分析数学模型,而后提出了以可靠性为求解策略的拓扑优化。方案以可靠性指标为约束条件,将不确定参数转化为确定性参数,再进行变密度拓扑优化。拓扑优化方案以军用和民用两个典型帐篷框架结构为例,考虑了在风载荷下框架的受力及优化设计,验证了该优化算法在帐篷设计上的可行性。计算实例结果表明,方案不仅得到了理想的结果,而且避免了反复迭代的方案试算,大大减少研发时间和工作量,在工程领域中有着很好的推广价值和适用性。

Guided by the uncertainty theory, this paper considers the complex and variable working conditions of tents and expounds the feasibility of finite element analysis under the condition of uncertainty of both material and working conditions. It then proposes the topology optimization based on reliability. The scheme takes the reliability index as the constraint condition and transforms uncertain parameters into deterministic parameters, and then the variable density algorithm topology optimization is performed. Taking two typical structure frames of military and civil tents as examples, respectively, the stress of the frame under wind load is considered, and the feasibility of the design scheme and algorithm logic is verified. The results of the mechanical simulations show that the scheme not only obtains the ideal results, but also avoids repeated iterative scheme trial calculations, thus significantly reducing the time costs and workload of the R&D process, thus promising optimal promotion value and applicability in the engineering fields.