基于刚度等效模型的减重孔板结构快速分析方法

为了能够更有效率地对减重孔板结构进行计算分析, 提出一种快速分析方法; 研究了减重孔板结构模型与平面板结构模型间的一般刚度等效关系, 建立了减重孔板孔径、孔距与相应平面板等效杨氏模量、等效板厚间的关系表达式, 以等效平面板结构模型代替原孔板结构模型进行变形分析; 将局部节点位移施加到相应目标孔位模型上, 计算了目标孔位区域的应力分布; 结合试验与仿真验证了方法的准确性; 通过对某实际减重孔板结构施加不同载荷, 对刚度等效关系的稳定性进行了验证; 通过某车体底架带孔板结构实例, 对方法应用于实际工程中的有效性进行了验证。分析结果表明: 与试验结果相比, 快速分析方法仿真变形最大误差约为3%, 应变的最大误差约为5%;不同载荷下的等效杨氏模量偏差约为2.5%, 等效板厚的偏差约为1.3%;快速分析方法对变形与局部应力的平均计算误差小于6.7%, 计算时间缩短了约50%。可见, 快速分析方法可以替代传统方法对减重孔板结构进行性能分析。 

Rapid analysis method of weight-reduced orifice plate structure based on stiffness equivalence model

In order to calculate and analyze the structure of weight-reduced orifice plate more efficiently, a rapid analysis method was proposed. The general stiffness equivalence relationship between weight-reduced orifice plate structure model and planar plate structure model was researched. The relational expressions were established between the aperture, hole distance of weight-reduced orifice plate, the equivalent Young's modulus, and thickness of corresponding planar plate. The orifice plate structure model was replaced with equivalent planar plate structure model for deformation analysis. The local node displacement was applied to corresponding target hole model, and the stress distribution of target hole area was calculated. The accuracy of proposed method was verified by experiments and simulations. The stability of stiffness equivalence relationship was verified by applying different loads to an actual weight-reduced orifice plate structure. The effectiveness of the method in practical engineering was verified by an example of a car body chasis with orifice plate. Analysis result shows that compared with experimental results, the maximum error of deformation of rapid analysis method is about 3%, and the maximum error of strain is about 5%. Under different loads, the deviation of equivalent Young's modulus is about 2.5%, and the deviation of equivalent plate thickness is about 1.3%. The average calculation error of deformation and local stress of rapid analysis method is less than 6.7%, and the calculation time is shortened by about 50%. So, the rapid analysis method can replace the traditional method to analyze the performance of weight-reduced orifice plate structure.