Vibration analysis for plate-shell coupled structures under complex boundary conditions
DAI Lu1,LIN Yuansheng1,LIU Yong1,BAI Fan1,WU Jun1,YANG Tiejun2
1.Science and Technology on Thermal Energy and Power Laboratory,Wuhan Second Ship Design & Research Institute,Wuhan 430205,China；
2.College of Power and Energy Engineering,Harbin Engineering University,Harbin 150001,China
Abstract：Plate-shell coupled structures are extensively applied in practical engineering fields. The dynamic characteristics of plate-shell coupled structures become a study topic receiving many attentions. Here, an analysis model for vibration of plate-shell coupled structures under complex boundary conditions was constructed. Each displacement of a plate-shell coupled structure system was described with two-dimensional improved Fourier series. The complex boundary conditions were simulated with different combinations of elastic restraints. 4 types of coupling springs were introduced to fully consider mechanical coupling effects among bending moments, transverse shear forces, in-plane longitudinal forces and in-plane shear forces on structures’ interfaces. Furthermore, based on Hamilton's principle and Rayleigh-Ritz method, the characteristic equation of the plate-shell coupled structural system was derived and the system vibration responses were gained. The study results showed that the correctness of the proposed method is verified through comparing the calculated results using the proposed method with those published in literatures and tests; the established analysis model for plate-shell coupled structure systems here is applicable to various complex boundary conditions, and it is a reliable and effective analysis means; the results provide an analysis model basis for vibration analysis and dynamic design of complex coupled structures.
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