Dynamic response analysis for structures with interval parameters

In this paper, a new method to solve the dynamic response problem for structures with<br />interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an<br />optimum scheme is adopted when there are many interval structural parameters. With the interval<br />algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are<br />developed. Based on the matrix perturbation theory and interval extension of function, the upper and<br />lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval<br />operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to<br />illustrate the validity of the present method.