Boundary integral equations for plate bending
- Bangkok : Asian Institute of Technology, 1982
- v, 42 p.
- Thesis ; no. ST-82-29 .
- Asian Institute of Technology. Thesis ; no. ST-82-29 .
A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering School of Engineering and Technology
Thesis (M.Eng.)- Asian Institute of Technology, 1982
A boundary integral equation formulation for the general solution of plate bending problems is presented. plate bending theory, a set of Bearing on Kirchoff's thin, elastic simple integral equations on the plate boundary is developed using the and Betti. Included herein are classical reciprocal theorem by Maxwell the concepts of a "decoy" domain whose solution at any arbitrary point is completely determinable; and a "virtual" plate that incorporates the boundary conditions of the real plate and has its forces distributed around the boundary of the region only. Hence , no double integral term is required to account for the domain loading. The solution of the basic integral equations yield the boundary unknowns of the plate. Thereafter, the solution can be extended to any point inside the domain by simply including only the point of interest in the boundary integral equation. Also discussed is the evaluation of finite but improper integrals that yield singular values at the point of application of the load in the decoy system. Numerical testing carried out on several plates subject to different boundary conditions and domain loads exhibit excellent convergence characteristics and compare extremely well with exact analytical results.