基于Lingo的离散型桁架结构全局拓扑优化设计

利用Lingo对离散型桁架结构进行拓扑优化设计。首先，对Lingo软件包做了简介。然后，在不同的荷载工况下同时考虑应力、稳定与位移等约束条件，建立了优化数学模型。给出了结构内力重分析的方法，运用该重分析技术，使拓扑优化计算工作量减少。最后，为了确保模型和方法的可行性，给出了一个具有应力和位移约束的桁架结构拓扑优化的算例，算倒表明，运用Lingo解决桁架全局拓扑优化问题是一种有效的方法。

Global Topological Optimal Design of Discrete-sizing Trusses Based on Lingo

Lingo is used to solve global topological optimal design of discrete-sizing trusses problem. A brief introduction about Lingo is first proposed. Then,a modified mathematical model is detailed regarding some constraints including stress,stability,and displacement,under multiple loading conditions. In addition, multiple analysis of a truss technology is assigned in order to reduce the calculation workload. Ultimately,in order to examine the practicability of the approach and the model,a well-studied truss structure example is used to demonstrate the feasibility and effectiveness of such method and approach, which successfully reflects that the usage of Lingo to optimize trusses is an effective method.