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| THE MIXED STATE HAMILTONIAN DYNAMIC ELEMENT AND A SEMI-ANALYTICAL SOLUTION FOR THE ANALYSIS OF THICK LAMINATED COMPOSITE PLATES | |
| 引用本文： | Zou Guiping(Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China)Tang Limin(Research Institute of Engineering Mechanics,Dalian Uuiversity of Techuology,Dalian 116024,China). THE MIXED STATE HAMILTONIAN DYNAMIC ELEMENT AND A SEMI-ANALYTICAL SOLUTION FOR THE ANALYSIS OF THICK LAMINATED COMPOSITE PLATES[J]. Acta Mechanica Solida Sinica, 1995, 8(2): 154-162. DOI: 10.1007/BF02206799 |
| 作者姓名： | Zou Guiping(Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China)Tang Limin(Research Institute of Engineering Mechanics Dalian Uuiversity of Techuology Dalian 116024 China) |
| 作者单位： | Zou Guiping(Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China)Tang Limin(Research Institute of Engineering Mechanics，Dalian Uuiversity of Techuology，Dalian 116024，China) |
| 摘 要： | Through introducing the Laplace transformation in the time direction,the mixed state Hamilton canonical equation and a semi-analytical solution arepresented for analyzing the dynamic response of laminated composite plates.Thismethod accounts for the separation of variables,the finite element discretization can beemployed in the plane of laminar,and the exact solution in the thickness direction isderived by the state space control method.To apply the transfer matrix method,therelational expression at the top and bottom surface is established.So the generalsolution in transformation space is deduced by the spot method.By the application ofinversion of Laplace transformation,the transient displacements and stresses can bederived. |
| 收稿时间： | 1993-10-16 |
THE MIXED STATE HAMILTONIAN DYNAMIC ELEMENT AND A SEMI-ANALYTICAL SOLUTION FOR THE ANALYSIS OF THICK LAMINATED COMPOSITE PLATES |
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| Zou Guiping. THE MIXED STATE HAMILTONIAN DYNAMIC ELEMENT AND A SEMI-ANALYTICAL SOLUTION FOR THE ANALYSIS OF THICK LAMINATED COMPOSITE PLATES[J]. Acta Mechanica Solida Sinica, 1995, 8(2): 154-162. DOI: 10.1007/BF02206799 | |
| Authors: | Zou Guiping |
| Affiliation: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China;(2) Research Institute of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, China |
| Abstract: | Through introducing the Laplace transformation in the time direction, the mixed state Hamilton canonical equation and a semi-analytical solution are presented for analyzing the dynamic response of laminated composite plates.This method accounts for the separation of variables,the finite element discretization can be employed in the plane of laminar,and the exact solution in the thickness direction is derived by the state space control method.To apply the transfer matrix method,the relational expression at the top and bottom surface is established.So the general solution in transformation space is deduced by the spot method.By the application of inversion of Laplace transformation,the transient displacements and stresses can be derived. |
| Keywords: | Hamilton canonical equation laminated composite plate |
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