Fuzzy estimates of resonance frequencies for three-layer composite cylindrical panels in smart aerospace and industrial structures

Abstract

Is developed a numerical-analytical fuzzy-sets methodic for a analysis of the uncertain endogenous parameters of the resonant frequencies in a theoretical model of vibration of thin orthotropic composite three-layer cylindrical panels with small curvature having of symmetrical structure with two external transversally-isotropic piezoelectric layers and with internal orthotropic layer from linearly viscoelastic composite material if available of scatter errors in values of their structural exogenous physical-mechanical and geometric parameters. The technique is based on the transition to fuzzy-interval arguments in the analytical representations for the studied resonant frequencies and in the application of the heuristic principle of generalization to obtain of estimates for the values of such resonant frequencies in the form of normal fuzzy sets. An example of the implementation of the technique under consideration is presented.