Boundary element-linear complementary equation solution to polygonial unilaterally simply supported plates |
| |
| Affiliation: | 1. School of Civil and Struct. Engg., Nanyang Technological University, Singapore, Singapore 639798;2. Department of Civil Engineering, Tianjin University, Tianjin, People''s Republic of China 300072;1. Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main Street, MS-362, Houston, TX, United States;2. Department of Materials Science and NanoEngineering, Rice University, 6100 Main Street, MS-325, Houston, TX, United States;3. Department of Mechanical Engineering, University of Houston, N207 Engineering Bldg. 1, 4726 Calhoun Rd, Houston, TX 77204, United States;4. Materials Science and Engineering Program, University of Houston, 1010 SERC Bldg. 545, 3517 Cullen Blvd, Houston, TX 77204, United States |
| |
| Abstract: | This article describes a method for the bending analysis of simply supported plates allowing for lifting at corners. The boundary element-linear complementary equation method (BE–LCEM) is described and used to solve the underlying problem. Following numerical discretisation using the boundary integral equation method for this contact problem, an effective linear complementary equation (LCE) is then established with two complementary variables for each contact node. Complementary variables are taken as the normal contact force and boundary deflection of the plate. The resulting LCEs are solved by using mathematical programming. Details of the transformation are described. A number of examples are presented for different shapes of plates to demonstrate the effectiveness of the features as implemented. Results are compared of simply supported plates with corners allowing for and restrained from lifting. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
