Dynamic response analysis for structures with interval parameters

In this paper, a new method to solve the dynamic response problem for structures withinterval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even anoptimum scheme is adopted when there are many interval structural parameters. With the intervalalgorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices aredeveloped. Based on the matrix perturbation theory and interval extension of function, the upper andlower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the intervaloperations. A numerical example, dynamic response analysis of a box cantilever beam, is given toillustrate the validity of the present method.