An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities

摘要

The Finite Element Method is commonly used for simulations of dynamic plate bending problems. A major disadvantage of this method is its practical frequency limitation in that the computational loads become prohibitively large at higher frequencies. A newly developed Wave Based prediction technique aims to relax this frequency limitation through an enhanced computational efficiency. This paper discusses the application of the Wave Based Method for the particular case where stress singularities appear in one or more corners of a polygonal plate domain. In this case the conventional set of field variable expansion functions is extended with some special-purpose functions which incorporate the corner point singularities. The beneficial convergence rate of the Wave Based Method as compared with the Finite Element Method is verified for various validation examples.