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Research Papers

Application of the Method of Reverberation Ray Matrix to the Early Short Time Transient Responses of Stiffened Laminated Composite Plates

[+] Author and Article Information
Feng-Ming Li1

School of Astronautics,  Harbin Institute of Technology, P.O. Box 137, Harbin 150001, P. R. C.fmli@hit.edu.cn

Chun-Chuan Liu, Sheng Shen, Wen-Hu Huang

School of Astronautics,  Harbin Institute of Technology, P.O. Box 137, Harbin 150001, P. R. C.

1

Corresponding author.

J. Appl. Mech 79(4), 041009 (May 09, 2012) (10 pages) doi:10.1115/1.4006238 History: Received January 29, 2011; Revised November 24, 2011; Posted February 28, 2012; Published May 09, 2012; Online May 09, 2012

The method of reverberation ray matrix (MRRM) is extended to research the transient wave propagation and early short time transient responses of the stiffened laminated composite plates subjected to impact loads. The rib-stiffened laminated plates are modeled as the coupling systems in which the flexural motion for the laminated plate is considered, and the flexural and torsional motions are taken into account for the laminated stiffeners, which are modeled as the beams. The dynamic models of the laminated plates and beams in the Laplace phase space are established based on the first order shear deformation theory (FSDT). The reverberation ray matrix is determined by the continuous and boundary conditions of the stiffened laminated plate. The transient response corresponding to each ray group is calculated by the FFT algorithm. From the numerical results, it is seen that the early short time transient accelerations of the stiffened laminated plates are very large, while the early short time transient displacements are very small. Furthermore, the influences of the stiffeners and different impulse signals on the early short time transient responses of the stiffened laminated plates are also studied.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

The schematic diagram of a stiffened laminated composite plate

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Figure 2

The early short time transient displacements at the point (x = 0.6 m, y = 0.15 m) of the unstiffened laminated plate by the MRRM and FEM

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Figure 8

The early short time transient displacements at the point (x = 0.9 m, y = 0.15 m) of the laminated plate with and without stiffeners

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Figure 9

The early short time transient displacements at the point (x = 1.5 m, y = 0.15 m) of the laminated plate with and without stiffeners

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Figure 10

The early short time transient accelerations at the point (x = 0.9 m, y = 0.15 m) of the laminated plate without stiffener for the initial three ray groups

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Figure 11

The early short time transient accelerations at the point (x = 0.9 m, y = 0.15 m) for the laminated plate with and without stiffener

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Figure 12

The early short time transient accelerations at the point (x = 0.9 m, y = 0.15 m) for the sum of different initial ray groups under the step impulse

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Figure 13

The early short time transient accelerations at the point (x = 1.5 m, y = 0.15 m) for the sum of different initial ray groups under the step impulse

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Figure 3

The early short time transient displacements at the point (x = 0.9 m, y = 0.15 m) of the stiffened laminated plate for different ray groups

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Figure 4

The early short time transient displacements at the point (x = 0.9 m, y = 0.15 m) of the stiffened laminated plate for the sum of different initial ray groups

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Figure 5

The early short time transient accelerations at the point (x = 0.9 m, y = 0.15 m) of the stiffened laminated plate for different ray groups

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Figure 6

The early short time transient accelerations at the point (x = 0.9 m, y = 0.15 m) of the stiffened laminated plate for the sum of different initial ray groups

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Figure 7

The early short time transient displacements at the point (x = 0.9 m, y = 0.15 m) of the laminated plate without stiffener for different ray groups

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