Laminated Composite Plate Theory With Improved In-Plane Responses

1986 ◽  
Vol 53 (3) ◽  
pp. 661-666 ◽  
Author(s):  
H. Murakami
Keyword(s):  
Variational Principle ◽  
Composite Plate ◽  
Plate Theory ◽  
Laminated Composite ◽  
Laminated Plates ◽  
Thickness Variation ◽  
Laminated Plate ◽  
Laminated Composite Plate ◽  
Cylindrical Bending ◽  
Shear Deformable

In order to improve the accuracy of the in-plane response of the shear, deformable laminated composite plate theory, a new laminated plate theory has been developed based upon a new variational principle proposed by Reissner (1984). The improvement is achieved by including a zigzag-shaped C0 function to approximate the thickness variation of in-plane displacements. The accuracy of this theory is examined by applying it to a problem of cylindrical bending of laminated plates which has been solved exactly by Pagano (1969). The comparison of the in-plane response with the exact solutions for symmetric three-ply and five-ply layers has demonstrated that the new theory predicts the in-plane response very accurately even for small span-to-depth ratios.

A Composite Plate Theory for Arbitrary Laminate Configurations

1987 ◽  
Vol 54 (1) ◽  
pp. 181-189 ◽  
Author(s):  
A. Toledano ◽  
H. Murakami
Keyword(s):  
Composite Plate ◽  
Plate Theory ◽  
Piecewise Linear ◽  
Present Theory ◽  
Laminated Plates ◽  
Stress Distributions ◽  
Laminated Plate ◽  
Individual Layer ◽  
Mixed Variational Principle ◽  
Shear Deformable

In order to improve the accuracy of in-plane responses of shear deformable composite plate theories, a new laminated plate theory was developed for arbitrary laminate configurations based upon Reissner’s (1984) new mixed variational principle. To this end, across each individual layer, piecewise linear continuous displacements and quadratic transverse shear stress distributions were assumed. The accuracy of the present theory was examined by applying it to the cylindrical bending problem of laminated plates which had been solved exactly by Pagano (1969). A comparison with the exact solutions obtained for symmetric, antisymmetric, and arbitrary laminates indicates that the present theory accurately estimates in-plane responses, even for small span-to-thickness ratios.

scholarly journals Vibroacoustic analysis of a clamped finite orthotropic laminated double-composite plate with an air cavity

2019 ◽  
Author(s):  
Tran Ich Thinh ◽  
Pham Ngoc Thanh
Keyword(s):  
Composite Plate ◽  
Series Solution ◽  
Transmission Loss ◽  
Plate Theory ◽  
Laminated Composite ◽  
Double Fourier Series ◽  
Laminated Plate ◽  
Laminated Composite Plate ◽  
Air Cavity ◽  
Theoretical Results

The vibroacoustic analysis of a clamped finite orthotropic laminated double-composite plate with a closed air cavity is investigated analytically presented within classical laminated plate theory for laminated composite plate. Using the method of modal decomposition, a double Fourier series solution is obtained to characterize the vibroacoustic performance of the structure. The sound transmission loss (STL) is calculated from the ratio of incident to transmitted acoustic powers. The accuracy of the solution is shown with comparing the STL values obtained from this presented model with the experimental and theoretical results available in literature. The soundproof ability of finite double-composite plate with a clamed boundary is shown. The effects of thickness of faceplates, thickness of air cavity and the angles of the incident sound are systematically examined.

Design of laminated plate with account taken of strength

2003 ◽  
Vol 217 (2) ◽  
pp. 127-134
Author(s):  
A G Kolpakov ◽  
A L Kalamkarov
Keyword(s):  
Design Problem ◽  
Composite Plate ◽  
Laminated Composite ◽  
Laminated Plate ◽  
Laminated Composite Plate ◽  
New Approach ◽  
Mathematical Solution ◽  
Numerical Examples ◽  
New Type

A new approach to the problem of the discrete design of laminated composite plate with account taken of strength is presented. The solution of the design problem for a laminated plate possessing the required set of stiffnesses and strength is developed. A mathematical solution of the problem and the algorithms to compute the designs are provided. The developed algorithms make it possible to solve a new type of design problem. Several numerical examples illustrating the possibilities of the developed algorithms and programs are presented.

Hypernormal Form at Cubic of a Rectangular Symmetric Cross-Ply Laminated Composite Plate

2012 ◽  
Vol 581-582 ◽  
pp. 641-644
Author(s):  
Wen Yuan Jia ◽  
Jing Li ◽  
Bin He
Keyword(s):  
Normal Form ◽  
Mechanical Model ◽  
Composite Plate ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Laminated Composite ◽  
Laminated Plates ◽  
Laminated Composite Plate ◽  
Averaged Equations ◽  
Lie Brackets

Based on wings flutter on flying aircraft in this paper, the authors study the mechanical model of the rectangular symmetric cross-ply composite laminated plates. Frist, the method of multiple scales is employed to obtain the four-dimensional averaged equations of the model. Then, the method of new grading function and multiple Lie brackets is utilized to obtain the hypernormal form (simplest normal form, unique normal form) at cubic of above averaged equations.

The Analyses for Natural Frequency of Laminated Plate Using an Improved Higher-Order Theory

2011 ◽  
Vol 138-139 ◽  
pp. 793-798
Author(s):  
Jin Wu Wu ◽  
Ling Zhi Huang
Keyword(s):  
Natural Frequency ◽  
Laminated Composite ◽  
Order Theory ◽  
Higher Order ◽  
Laminated Plates ◽  
Laminated Plate ◽  
Laminated Composite Plate ◽  
Random Form ◽  
Higher Order Method ◽  
Higher Order Theory

An improved higher order method was used in calculating the natural frequency of laminated composite plate. The function of equation of free vibration of laminated plate was established using Hamilton's principle and calculated the natural frequencies of plates. The influence of the laying-angle and thickness ratio and cross-elastic modulus ratio to the frequency of the plate were analyzed. It is shown that the natural frequency of antisymmetric angle-ply laminated plates and antisymmetric cross-ply laminated plate can be calculated by using this paper theory; in addition, it is feasible to calculate the natural frequency of the random form of laying laminate.

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