航空学报 > 1981, Vol. 2 Issue (1): 38-49

有限元素法解轴压加筋板局部稳定性问题的研究

刘东常   

  1. 飞机强度研究所
  • 收稿日期:1980-01-01 修回日期:1900-01-01 出版日期:1981-03-25 发布日期:1981-03-25

A FINITE ELEMENT METHOD FOR LOCAL BUCKLING OF A STIFFENED PANEL IN AXIAL COMPRESSION

Liu Dongchang   

  1. Aircraft Strength Institute, Chinese Aeronautical Establishment
  • Received:1980-01-01 Revised:1900-01-01 Online:1981-03-25 Published:1981-03-25

摘要: 本文是用有限元素法解轴压加筋板局部稳定性问题的研究报告。它从失稳变形模态对称性分析入手,提出了局部单元的计算模型。对于失稳变形模态非对称结构,指出典型单元计算模型的局限性。从而肯定了局部单元在稳定性计算中普遍的实用意义。对于铆接结构,分析了筋条与蒙皮的连接及其简化假设,改进了铆接结构的计算模型,确保了计算结果的合理性。另外,讨论了简化计算模型的两项原则。在此基础上,对计算模型作进一步简化,从而节省了机器内存,提高了解题速度。最后给出了计算曲线及实验结果,并对力矩分配法作了分析。

Abstract: This paper presents a finite element method to estimate local buckling stress of stiffened panels in axial compression. Proceeding from the symmetry analysis for the mode of buckling deformation, a so-called "local unit" computation model is proposed. It is also shown that for the structures with unsymmetric mode of buckling deformation the "typical unit' model leads to unreasonable results, because such a model represents a false structure far from the real one. Therefore, the universal adaptability of the local unit to instability analysis is confirmed and reasonableness of calculated results is ensured by avoiding the traditional approach which treats the unsymmetric mode of buckling deformation as symmetric one.Considering the difference of joints for stiffened panels, the assumption of simplification for attachments of sheet to riveted stiffeners is discussed. Then the original computation model has been improved to approach actual conditions. In addition, two principles for simplifying the computation model are defined as following:1.By taking advantage of symmetry of the deformation mode the constraint effect of the adjacent strip element to the analyzed object can be replaced by the condition of zero angular displacement.2.The evaluation for whole panel can be replaced by the evaluation for one local unit, because the constraint effect of the adjacent strip element to the local unit is very small.On the basis of these principles the computation model is further simplified, therefore the computer storage and the operation time are saved.Finally the moment distribution method is analyzed, and it is shown that the results obtained by presented method are more reasonable.