Non-normal stochastic response of Linear Systems
Date of Original Version
Conventional analysis of mean squared values is extended to calculation of the fourth moment of the response of a linear system. This provides a way to investigate the non-normality of structural response, due to a nonnormal excitation. Studies are made for a linear SDF structure subjected to fairly simple non-normal forces, which include a "white noise" process and filtered processes. Each filtered non-normal process is generated by passing a "white noise" non-normal process through a linear second-order filter. The non-normality of the structural response is investigated by integration in both the time domain and the frequency domain and by a more efficient technique that is an extension of the Lyapunov equation. This latter method reduce^ the calculation of the fourth moment of the response to solving a set of simultaneous linear algebraic equations. © ASCE.
Journal of Engineering Mechanics
Lutes, Loren D., and Sau-Lon J. Hu. "Non-normal stochastic response of Linear Systems." Journal of Engineering Mechanics 112, 2 (1986): 127-141. doi:10.1061/(ASCE)0733-9399(1986)112:2(127).