General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels

Tornabene, Francesco; Viola, Erasmo; Fantuzzi, Nicholas

doi:10.1016/j.compstruct.2013.04.009

Cited by 181 publications

(113 citation statements)

References 75 publications

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“…In FE modeling of a plate using plate elements, the three-dimensional displacement field is reduced to a two-dimensional problem by adopting an appropriate formulation for variation of displacements across the thickness. Equivalent single layer and layer-wise theories are considered in approximating the displacement field of the structure to derive a reduced 2-D model instead of the complex 3-D model (Reddy 1993;Tornabene et al 2013;Correia & Gomes 2000). A comprehensive research on various theories for displacement field modeling of composite structures with piezoelements is given by (Benjeddou 2000).…”

Section: Latin American Journal Of Solids and Structures 13 (2016) 26mentioning

confidence: 99%

Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

Eshraqi¹,

Shahravi

Azimi

2016

Lat. Am. j. solids struct.

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In this paper, the problem of vibration suppression of a smart composite plate with bonded piezoelectric patches is considered. A higher order plate model is used for finite element modeling of the plate and the PID controller is used to generate control voltage command to the piezo actuators from the piezo sensors data. Derived formulation and the control algorithm is implemented in a finite element (FE) code and the FE modeling results are verified using available results of previous studies. The effect of control gain on the vibration suppression characteristics is studied. Furthermore, since FE modeling reduces the order of the real problem, the problem of un-modeled residual modes on the so-called spillover effect is investigated.

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Section: Latin American Journal Of Solids and Structures 13 (2016) 26mentioning

confidence: 99%

Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

Eshraqi¹,

Shahravi

Azimi

2016

Lat. Am. j. solids struct.

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“…The state-of-the-art development of the problem is analyzed in review articles [31,32]. The higher-order doubly-curved shell formulation based on the Carrera's equivalent single layer theory [33] accounting for thickness stretching has been proposed in [34,35]. Both free vibration and static problems are discussed with a particular emphasis on the stress recovery procedure.…”

Section: Introductionmentioning

confidence: 99%

Exact geometry solid-shell element based on a sampling surfaces technique for 3D stress analysis of doubly-curved composite shells

Куликов

Mamontov

Плотникова

et al. 2015

Curved and Layered Structures

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A hybrid-mixed ANS four-node shell element by using the sampling surfaces (SaS) technique is developed. The SaS formulation is based on choosing inside the nth layer In not equally spaced SaS parallel to the middle surface of the shell in order to introduce the displacements of these surfaces as basic shell variables. Such choice of unknowns with the consequent use of Lagrange polynomials of degree In − 1 in the thickness direction for each layer permits the presentation of the layered shell formulation in a very compact form. The SaS are located inside each layer at Chebyshev polynomial nodes that allows one to minimize uniformly the error due to the Lagrange interpolation. To implement the efficient analytical integration throughout the element, the enhanced ANS method is employed. The proposed hybrid-mixed four-node shell element is based on the Hu-Washizu variational equation and exhibits a superior performance in the case of coarse meshes. It could be useful for the 3D stress analysis of thick and thin doubly-curved shells since the SaS formulation gives the possibility to obtain numerical solutions with a prescribed accuracy, which asymptotically approach the exact solutions of elasticity as the number of SaS tends to infinity.

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“…Tornabene [11] and Tornabene et al [12,13] investigated the free vibrations of anisotropic doubly-curved shells of revolution defined by free-form meridians. Viola et al [14] and Tornabene et al [15,16] employed a higher-order formulation, based on an equivalent single layer approach, for the mechanical analysis of laminated composite shell structures characterized by curved surfaces as reference domains. A layer-wise formulation was presented instead in the paper by Tornabene et al [17] for the same purpose.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

et al. 2017

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Due to some technical issues that can appear during the manufacturing process of Functionally Graded Materials (FGMs), it can be extremely difficult to produce perfect materials. Indeed, one of the biggest problems is the presence of porosities. For this purpose, the vibrational behavior of doubly-curved shells made of FGM including porosities is investigated in this paper. With respect to previous research, the porosity has been added to the mechanical model that characterizes the through-the-thickness distribution of the graded constituents and applied to doubly-curved shell structures. Few papers have been published on this topic. In fact, it is easier to find works related to one-dimensional structures and beam models that take account the effect of porosities. The First-order Shear Deformation Theory (FSDT) is considered as the theoretical framework. In addition, the mechanical properties of the constituents vary along the thickness direction. For this purpose, two power-law distributions are employed to characterize their volume fraction. Strain components are established in an orthogonal curvilinear coordinate system and the governing equations are derived according to the Hamilton's principle. Finally, Navier's solution method is used and the numerical results concerning three different types of shell structures are presented.

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General higher-order equivalent single layer theory for free vibrations of doubly-curved laminated composite shells and panels

Cited by 181 publications

References 75 publications

Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

Exact geometry solid-shell element based on a sampling surfaces technique for 3D stress analysis of doubly-curved composite shells

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

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