A general doubly curved laminate shell theory

1995 ◽  
Vol 32 (1-4) ◽  
pp. 299-312 ◽  
Author(s):  
Claire Ossadzow ◽  
Patrick Muller ◽  
Maurice Touratier
2021 ◽  
Vol 4 (1) ◽  
pp. 29-36
Author(s):  
Daisuke Narita ◽  
Yoshihiro Narita

A method is presented for determining the free vibration frequencies of doubly curved, isotropic shallow shells under general edge conditions and is used to obtain accurate natural frequencies for wide range of geometric parameters. Based on the shallow shell theory applicable to thin thickness shells, a method of Ritz is extended to derive a frequency equation wherein the displacement functions are modified to accommodate arbitrary sets of edge conditions for both in-plane and out-of-plane motions. In numerical computation, convergence is tested against series terms and comparison study is made with existing results by other authors. Twenty one sets of frequency parameters are tabulated for a wide range of shell shape and curvature ratio to serve as data for future comparison and practical design purpose.  


AIAA Journal ◽  
10.2514/2.670 ◽  
1999 ◽  
Vol 37 (1) ◽  
pp. 100-109 ◽  
Author(s):  
Claire Ossadzow ◽  
Maurice Touratier ◽  
Patrick Muller

2017 ◽  
Vol 24 (19) ◽  
pp. 4492-4504 ◽  
Author(s):  
R Talebitooti ◽  
MR Zarastvand ◽  
HD Gohari

This study applies shear deformation shallow shell theory to inspect the acoustic behavior of laminated composite infinitely long doubly curved shallow shells subject to a radiating oblique plane sound wave. Herewith, a procedure is developed to investigate sound transmission loss through this shell, clarified as a ratio of incident power to transmitted power in the existence of mean flow. In a further step, displacements are developed as a linear combination of the thickness coordinate to designate an analytical solution based on shear deformation shallow shell theory. Consequently, an exact solution for sound transmission loss is brought forward by combining acoustic wave equations as a result of wave propagation through this shell with doubly curved shell equations of motion. Afterwards, the accuracy of the present formulation (shear deformation shallow shell theory) is determined by comparing the achieved results with those available in the literature and some assumptions associated with the geometric specifications of the plate are investigated. Finally, because of the remarkable achievement of the current formulation results in reduction of noise transmission into such structures, some effective parameters on sound transmission loss are used in numerical results, to solve this problem.


1973 ◽  
Vol 40 (1) ◽  
pp. 257-262 ◽  
Author(s):  
P. V. McLaughlin

Sandwich structures composed of two thin sheets separated by a core which can support only transverse shear are both statically and kinematically determinate “in-plane”, allowing in-plane elastic-plastic behavior of such structures to be found in terms of sheet material properties. Unlike homogeneous shells, the shear load-deformation relations separate from in-plane behavior, and all the usual difficulties associated therewith disappear. The method for deriving in-plane constitutive relations for thick (t/R terms not negligible compared to unity), doubly curved, nonsymmetric shells with arbitrary-known sheet elastic-plastic behavior is presented. The form of the equations for yield and limit behavior is discussed, including yield surfaces and flow laws. Comparison of thin versus thick shell theory shows that nonconservative strength predictions can result from neglecting t/R terms. Use of the theory is illustrated by an example which shows application to fibrous composite materials and the effect of shell thickness.


1990 ◽  
Vol 112 (4) ◽  
pp. 596-604 ◽  
Author(s):  
J. Jia ◽  
C. A. Rogers

Smart materials have created new paradigms for structural design by introducing new concepts for vibration, damage, and structural control. Shape memory alloy reinforced composites are some of the newest and most versatile of this category of novel materials. They have shown tremendous versatility to adaptively and actively tailor mechanical and physical properties of structures and to perform shape and damage control. Moreover, the have generated new concepts for acoustic and vibration control. However, the unique behavior of the shape memory alloy fibers used as active elements within the composite also poses some difficult and interesting problems for describing the mechanical behavior of SMA reinforced structures. This paper will describe the formulation of a generalized laminate shell theory that incorporates embedded distributed actuators, i.e., shape memory alloy fibers or piezoelectric films. The theories consider the nonlinear strain-temperature-stress coupling for shape memory alloy actuators and the simplifications for analyzing piezoelectric actuators. Some of the computational difficulties of predicting the behavior of SMA reinforced shells will be discussed.


AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 100-109
Author(s):  
Claire Ossadzow ◽  
Maurice Touratier ◽  
Patrick Muller

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