Geometrically Nonlinear Cantilever under Stochastic Loading Vectors

This paper deals with the static and dynamic response of acantilever beam affected by Gaussian and non-Gaussian vectorprocesses. The load is modeled by three different correlationstructures based on the second-order Markov process, and thenon-Gaussian random features are described by translationprocesses. Both the linear and geometrically nonlinear behaviorare described using the finite element approach, and the beammechanical characteristics (natural frequencies and damping) arevaried to investigate their influence on the response. Finally,the Monte Carlo approach is used to estimate the responsestatistics. The transverse displacement and the bending moment atthe beam joints are used to summarize the obtained results interms of skewness and kurtosis coefficients, and probabilitydensity functions. The study presented in this paper providesinformation on the influence of the load nature and the structuralbehavior on the response random features.