Investigation on Empirical Probability Distribution Model of Out of Plane Displacement of Square Membranes held Fixed at Three Corners and subjected to Tensile Loading at Remaining One Corner

The in-depth contents
Publication year 2011
PDF Download
Title Investigation on Empirical Probability Distribution Model of Out of Plane Displacement of Square Membranes held Fixed at Three Corners and subjected to Tensile Loading at Remaining One Corner
Author Takashi Iwasa
Summary The shape measurement of the square wrinkled membranes was performed in order to clarify the empirical probability distribution model of the deformation behavior of the thin membranes, which include several uncertainties in the external forces and boundary constraints. The polyimide films whose size was 0.2m x 0.2m were treated. From the results, the spatial distribution of the out of plane displacement of the wrinkled membranes does not follow the normal distribution and log-normal distribution. However, it was shown that the statistics of the spatial distribution of the out of plane displacement such as average, standard deviation, 75 percentile and median follow theoretical models such as normal distribution and log-normal distribution.