基于弹簧-悬臂梁模型最小变形能的气动载荷分配方法

Conversion of Aerodynamic Load Based on Spring-Cantilever Model with Minimal Strain Energy Criterion

在进行气动载荷到结构载荷转换时使用弹簧-悬臂梁模型来代替悬臂梁模型,解决了如果气动载荷点与部分结构节点重合则会导致难以求解的问题,载荷分配结果符合"近大远小"的规律,且分配前后完全符合等效性。研究了模型参数对载荷分配结果的影响,讨论了利用悬臂梁与弹簧刚度比,刚度与目标点距离的比来控制分配结果的方法。另外,讨论了使用构造函数代替物理模型的方法。

When points of load do not match the nodes of finite element model, we use interpolation method and method based on cantilever model with minimal strain energy criterion to distribute load.but they can＇t solve the problem when the distance between points of load and nodes of finite element model is O. The author improves the model based on minimal strain energy criterion and puts forward the spring-cantilever model to solve the above problem.this method can still ensure the situation that the closer the distance between points of load and nodes is, the more force is distributed to the node. Results of the new method have equivalence. In addition, the author introduces the method of structural function and lagrange to distribute load, which can also solve the problem well. Then, the author discusses the impact of parameters on the distribution result.These result indicate that the new method can meet the requirement of the distribution of load, solve the problem when the distance is O, and control the result of distribution through parameters.