Dynamic Response Moments of Random Parametered Structures with Random Excitation

by Linda J. Branstetter, Sandia Natl Lab, Albuquerque, NM, USA,
Thomas L. Paez, Sandia Natl Lab, Albuquerque, NM, USA,

Document Type: Proceeding Paper

Part of: Dynamic Response of Structures


First and second order statistical response moments are formulated for linear multi-degree of freedom dynamical systems having both random load and random structural characteristics. A matrix, ordinary differential equation describing system response is discretized in time, integrated, and then rewritten in the form of a Taylor series expansion of each random element about its mean value. This equation is then used to form response moment expressions. Evaluation of the moments is made possible by the development of useful recursive formulas. Results are verified with analytic solutions. The method is useful for the analysis of static or dynamic random response.

Subject Headings: Structural dynamics | Dynamic response | Moment (mechanics) | Parameters (statistics) | Excitation (physics) | Dynamic loads | Structural analysis | Numerical methods

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