Publications Details

Strategies for analyzing random vibration of jointed structures

Segalman, Daniel J.; Starr, Michael J.; Guthrie, Michael A.

Development of mathematical models for built-up struc-tures, particularly those with many interfaces, is still primitive. This limitation is particularly evident when complex loads and load histories are considered, an example of which is random vibration. Two steps in simplifying this problem are explored here. First, the system response is approximated as that of the super-position of numerous decoupled modes, the coordinates of which evolve according to a constitutive model designed to capture the nonlinearity of the structure. Second, because among the cat-egories of load for which dynamic analysis on nonlinear struc-tures is particularly difficult is that of random loads and the re-sulting random vibration, and given the previous approximation, it is natural to apply the method of stochastic equivalent lin-earization to the governing equation of each mode. Both of these approximations are explored for the case where the nonlinear behavior of the interfaces is represented by a Masing-Prandtl-Ishlinskii-Iwan model employing a Palmov kernel. Copyright © 2013 by ASME.