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《Journal of Dalian University of Technology》 2008-01
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Analysis of energy flow in stiffened thick plate structures based on dynamic stiffness matrix technique

ZHOU Ping,ZHAO De-you*Dept.of Naval Archit.& Ocean Eng.,Dalian Univ.of Technol.,Dalian 116024,China  
The dynamic stiffness matrix technique is applied to analyze the energy flow of the coupled stiffened plates.At first,a new dynamic stiffness matrix of stiffened moderate thick plate is derived.The plate differential equations are based on Mindlin thick plate theory and include the in-plane vibrations.The stiffeners are taken to be smeared over the surface of the element,and Hamilton′s principle is used to derive the appropriate modifications which must be made to the plate differential equations.The resulting differential equations are solved exactly to yield the dynamic stiffness matrix for the element.Any number of elements may be assembled to model the cross-section of a building-up structure by using classical finite element techniques.The equation governing the complete structure can also be solved by employing classical techniques to obtain the dynamic responses of structures.Combined with the formulation of mean squared displacement for the stiffened plate,the averaged vibratory energy of each stiffened plate can be obtained.Finally,a numerical example of L-shaped stiffened plate is considered and the energy flow between each plate is calculated by dynamic stiffness matrix method.To verify the efficiency and feasibility of the presented method,the calculated results are compared with those obtained by finite element method and statistical energy analysis method.
【CateGory Index】: O327
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