The paper discusses solutions to the problem of optimally supporting a thin plate, acted upon by its self weight, with a discrete number of supports. Such problems occur, for example, in supporting ceiling tiles with fasteners. The goal is to minimize deflection which is visually unappealing. Minimizing deflection is especially important as the initial deflection increases with time due to creep. Square and rectangular plates are considered. The approach taken here is based on combining a bending plate finite element code with an optimizer. Results are presented for square and rectangular plates on a (three) discrete supports. A penalty function is used to ensure that supports are not collinear.
- Design Engineering Division and Computers in Engineering Division
Optimum Locations of Pin Supports to Minimize Deflection of a Thin Plate Acted Upon by Its Own Weight
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Belegundu, AD. "Optimum Locations of Pin Supports to Minimize Deflection of a Thin Plate Acted Upon by Its Own Weight." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C. San Diego, California, USA. August 30–September 2, 2009. pp. 1829-1831. ASME. https://doi.org/10.1115/DETC2009-86102
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