Boundary shape design of planar membrane structures based on an airy stress model. (April 2020)

• Record Type: Journal Article
• Authors: Liu, Mingjun
• Is Part Of: Advances in mechanical engineering. Volume 12:Number 4(2020)
• Publication Date: 2020-04
• Subjects: Membrane -- airy stress -- boundary shape design -- wrinkle regions -- arc-edge structure; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/1687814020916039
• Languages: English
• ISSNs: 1687-8132

Abstract

Maintaining surface accuracy is crucial to realizing the required performance of membrane structure. However, compressive stress inevitably leads to wrinkling, and the accurate analysis of the stresses becomes significant. The present study analyzed membrane structures with discrete loads. First, a simple method was proposed and the stress field was accurately described using an Airy stress model. The first and second principal stresses were obtained, and regions of wrinkling with negative stress were predicted. Second, for a square membrane structure, vertical tensions around the boundary were applied such that in-plane stresses were more evenly distributed. Finally, to reduce the wrinkling areas more effectively, an arc-edge structure was designed by removing some areas of low-stress. Simulation results showed that the in-plane stress field distribution was described accurately and the wrinkling regions were diminished effectively with the proposed method.