Periodic Shear Beam As a Model of High Building Under Fuzzy Non-Stationary Excitation

Abstract eng:
In the paper the problem of the shear vibration of a finite periodic composite beam with uncertain parameters as the model of a high building under a stochastic excitation is considered. The solution of the problem was found using the random dynamic influence function which allows applying the perturbation method while the average tolerance approach allows passing from differential equations with periodic variable coefficients to differential equations with constant coefficients. Different types of uncertainty of the structure parameters and the excitation process have been considered, namely: fuzzy numbers, random variables, random functions, fuzzy random variables, fuzzy random functions and fuzzy stochastic processes. This allows a wide analysis of complex problems of the shear vibrations of periodic composite beams with fuzzy random parameters under fuzzy stochastic excitations. Much attention has been focused on for obtaining the solution in the most genera case.

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