A general theory of mode combination is developed for structural systems subjected to stationary stochastic excitation. The analysis begins with a brief review of a mode combination expression for first‐order systems. Then, new fundamental properties of this result are developed. These properties are used to establish common analytical foundations and make new extensions of previously developed mode combination results for under‐critically damped, classically damped, cascaded and non‐linear structures. In the second part of the paper, an efficient and general mode combination method is developed for cascaded structures. It is shown how the unified mathematical framework established herein can be applied to cascaded structures composed of different types of substructures without the need to derive separate mode combination expressions.
ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Earth and Planetary Sciences (miscellaneous)