Journal of Applied Mathematics
Volume 2003 (2003), Issue 10, Pages 503-516
doi:10.1155/S1110757X03203065
Abstract
We deal with the exact determination of eigenfrequencies of a
beam with intermediate elastic constraints and generally
restrained ends. It is the purpose of this paper to use the
calculus of variations to obtain the equations of motion and the
natural boundary conditions, and particularly those at the
intermediate constraints. Numerical values for the first five
natural frequencies are presented in a tabular form for a wide
range of values of the restraint parameters. Several particular
cases are presented and some of these cases have been compared
with those available in the literature.