Colored noise excitation of engineering structures

Abstract eng:
In structural dynamics the computation of the characteristics of stochastic processes is an important task. The standard approach is based on the spectral density analysis and the numerical integration of the resulting spectral density function to get the standard deviation or variance, respectively, of the stochastic process under consideration. An alternative approach is the covariance analysis which is an efficient method for the direct computation of systems with white noise excitation via the Lyapunov matrix equation. In this paper engineering structures with colored noise excitation are considered. The linear equations of motion of engineering structures are rewritten in state space form frequently used in control and system dynamics. Then, the covariance analysis is reviewed dealing with MATLAB’s Control System Toolbox. The modeling is extended to colored noise excitation by adding a shape filter to be adapted to measured data of the stochastic process under consideration. It turns out that the numerical tool is efficient for the extended system as well even if the system order is increasing. An example featuring colored random excitation of a vehicle running on an uneven rigid structure is presented. The dynamical loads to the structure are strongly depending on the suspension system of the vehicle.

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