Following the recent encouraging findings in the area of 2-D acoustics, this paper
investigates the performance of a B-spline collocation method in the extraction of
natural frequencies (eigenvalue analysis) of thin plates in bending. Numerical
formulation and associated results refer to uniformly discretized rectangular and
circular plates, for which closed-form analytical or approximate solutions are
available in the literature. The computational results show that the proposed
B-spline collocation method is of higher quality than the previously known cubic
B-splines Galerkin–Ritz formulation; both of them converge more rapidly to the
accurate solution than what the conventional finite element method does for the same
mesh density.
Keywords
B-splines, collocation method, finite element method,
CAD/CAE
