open access

https://hdl.handle.net/2115/83182

Polya Counting Theory Applied to Combination of Edge Conditions for Generally Shaped Isotropic Plates

英語

structural response

2019-08

The Center of Technology, Faculty of Engineering, University of Hasanuddin

EPI International Journal of Engineering

2(2)

194-202

Structural behaviors of plate components, such as internal stress, deflection, buckling and dynamic response, are important in the structural design of aerospace, mechanical, civil and other industries. These behaviors are known to be affected not only by plate shapes and material properties but also by edge conditions. Any one of the three classical edge conditions in bending, namely free, simply supported and clamped edges, may be used to model the constraint along an edge of plates. Along the entre boundary with plural edges, there exist a wide variety of combinations in the entire plate boundary, each giving different values of structural responses. For counting the total number of possible combinations, the present paper considers Polya counting theory in combinatorial mathematics. For various plate shapes, formulas are derived for counting exact numbers in combination. In some examples, such combinations are confirmed in the figures by a trial and error approach.

学術雑誌論文

Version of Record

2615-5109

2621-0541