Spherical membranes subjected to concentrated loads |
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| Affiliation: | 1. Department of Chemistry, Himachal Pradesh University, Summer Hill, Shimla, Himachal Pradesh 171005, India;2. Department of Biotechnology, Himachal Pradesh University, Summer Hill, Shimla, Himachal Pradesh 171005, India;3. Department of Chemistry, Shoolini University, Solan, Himachal Pradesh 173229, India;1. Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China;2. Institute of Microelectronics of Chinese Academy of Sciences, Beijing, 100029, China;1. Columbia University College of Physicians and Surgeons, New York, NY;2. Joseph L. Mailman School of Public Health, Columbia University, New York, NY;3. Herbert Irving Comprehensive Cancer Center, Columbia University College of Physicians and Surgeons, New York, NY;4. New York Presbyterian Hospital, New York, NY;5. Massachusetts General Hospital, Boston, MA |
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| Abstract: | Using linear membrane theory, the contours and size of reinforcements required for spherical inflatable membranes to carry tangential, normal and oblique concentrated forces, by means of a tension field and without wrinkling, is considered. Load limits for such wrinkle-free behaviour of this class of structure are established. In the second part of the paper, nonlinear membrane equations, written with respect to the deformed configuration, are used to establish the wrinkled deformation field of spherical inflatables subjected to axisymmetric normal concentrated forces without the use of reinforcements. The ponding problem for such membranes, a possible mode of failure when concentrated forces are applied in the presence of an accumulating ponding medium, is defined and the conditions for a safe ponding process specified in terms of membrane geometry, internal inflation pressure and density of the ponding medium. |
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