Analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on Reddy's higher-order theory

Nayak, Ajaya K.; Shenoi, R.A.; Moy, S.S.J.

doi:10.1243/0954406021525377

Cited by 25 publications

(13 citation statements)

References 37 publications

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“…In the present theory, displacement field for the core was assumed to be a polynomial with unknown coefficients. But, Nayak et al (2002) and Malekzadeh et al (2005) used equivalent single layer Reddy's theory and 3D elasticity theory for the core, respectively. Table 4.…”

Section: Validation Of the Resultsmentioning

confidence: 99%

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Improved high order free vibration analysis of thick double curved sandwich panels with transversely flexible cores

Fard

Livani

Ghasemi

2014

Lat. Am. j. solids struct.

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This paper dealt with free vibration analysis of thick double curved composite sandwich panels with simply supported or fully clamped boundary conditions based on a new improved higher order sandwich panel theory. The formulation used the first order shear deformation theory for composite face sheets and polynomial description for the displacement field in the core layer which was based on the displacement field of Frostig's second model. The fully dynamic effects of the core layer and face sheets were also considered in this study. Using the Hamilton's principle, the governing equations were derived. Moreover, effects of some important parameters like that of boundary conditions, thickness ratio of the core to panel, radii curvatures and composite lay-up sequences were investigated on free vibration response of the panel. The results were validated by those published in the literature and with the FE results obtained by ABAQUS software. It was shown that thicker panels with a thicker core provided greater resistance to resonant vibrations. Also, effect of increasing the core thickness in general was significant decreased fundamental natural frequency values. KeywordsFree vibration, Double curved sandwich panel, Boundary conditions, Improved higher order sandwich panel theory.Improved high order free vibration analysis of thick double curved sandwich panels with transversely flexible cores INTRODUCTIONStructural efficiency is an important attribute for aircraft structures. A higher order theory approach, used by Kant and Patil (1991), replaced sandwich structure with an equivalent higher order shear deformable structure, which lacked the ability to determine local buckling modes and imperfection effects on the overall behavior. Using the three-dimensional elasticity equations, Bhimaraddi (1993) studied the static response of orthotropic doubly curved shallow shells. He assumed that the ratio of the shell thickness to its middle surface radius is negligible as compared to unity. The high- er order sandwich panel theory was developed by Frostig et al. (1994Frostig et al. ( , 2004, who considered two types of computational models in order to express governing equations of the core layer. The second model assumed a polynomial description of the displacement fields in the core that was based on displacement fields of the first model. Their theory did not impose any restrictions on distribution of the deformation through thickness of the core. Singh (1999) studied free vibration of the open deep sandwich shells made of thin layers and a moderately thick core. Rayleigh-Ritz method was also used to obtain natural frequencies. The improved higher order sandwich plate theory (IHSAPT), applying the first-order shear deformation theory for the face sheets, was introduced by Malekzadeh et al. (2005Malekzadeh et al. ( , 2006.

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Section: Validation Of the Resultsmentioning

confidence: 99%

“…HSDT-ESL (Armenakas et al, 1969) Error difference(%) FSDT-ESL (Armenakas et al, 1969) Error difference(%) In Table 7, the current results were compared with the presented FE model by ABAQUS code and the higher order equivalent single layer theory (HSDT-ESL) presented by Nayak et al (2002). As can be seen in Table 8.…”

Section: Present Modelmentioning

confidence: 99%

Improved high order free vibration analysis of thick double curved sandwich panels with transversely flexible cores

Fard

Livani

Ghasemi

2014

Lat. Am. j. solids struct.

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“…Properties of sandwich beam with FG core [22,35] Material properties The core of sandwich beam is arbitrary functionally graded material (FGM) and in this section it is assumed to be power law (P-FGM). The properties of P-FGM core changes continuously through the core thickness and it changes between the properties of the bottom face sheet (bottom interface) and the properties of the top face sheet (top interface).…”

Section: Dynamic Response Of Sandwich Beams With Fg Core Subjected Tomentioning

confidence: 99%

Dynamic Response of Composite Sandwich Beams With Arbitrary Functionally Graded Cores Subjected to Low-Velocity Impact

Malekzadeh

Khalili

Gorgabad³

2015

Mechanics of Advanced Materials and Structures

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Using an improved higher-order sandwich panel theory (IHSAPT), the dynamic response of a sandwich beam with arbitrary cores (foam or functionally graded materials) subjected to single impact at arbitrary impacted face sheet and arbitrary locations is studied. The formulation uses the first-order shear deformation theory for the composite face sheets and a polynomial description of the displacements fields in the core, which is based on the displacement field of the second Frostig's model. The unknowns are the coefficients of these polynomials in addition to the displacements of the various face sheets. It is assumed that the impactor impacted normally and simultaneously over the top or bottom face sheets. The impact force between the impacted face sheet and the impactor is treated as the internal force of the system and in this study, for the first time, in order to simulate the impact phenomena, two models are presented: first, the linearized spring-mass model with two degrees of freedom (simply called TDOF), which can be solved by a new analytical method; second, the modified Hertz's model, which uses the perfect form of contact law (perfect model). An impact problem of sandwich beam is first solved and the results obtained from TDOF and perfect models are validated by comparing them with the analytical and numerical results published in the literature and also together. The agreement between the results is quite good. Then, the effect of various types of FGM function and its power and core to beam thickness ratio on the dynamic behavior of sandwich beam are studied.

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“…Therefore, numerous plate theories have been developed and applied to sandwich structures. Among others, the elasticity solution [34,48], higher-order and layerwise theories [49,50–54] and zig–zag theories [55–58] should be mentioned. These theories are also applied to free vibration and buckling problems [13,55,59–72], to develop Finite Element (FE) models and types [73–78] moreover to solve issues related to nonlinear effects [79–81], transient dynamic analysis [82–86], dynamic stability [87], deformation analysis of test specimens [88] and functionally graded core materials [89–97].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of some delamination scenarios in thick structural sandwich plates

Szekrényes

2017

Jnl of Sandwich Structures & Materials

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The first-, second-and third-order shear deformation plate theories are applied in this work to model thick rectangular sandwich plates with through-width delamination. The models are based on the concept of the four equivalent single layers and the system of exact kinematic conditions. Three different scenarios are considered: the failure of the core, the delamination between the top facesheet and the core, and finally, the case when the delamination takes place in the local midplane of the top facesheet. A general model is derived and applied to sandwich plates with Lévy type boundary conditions. The governing equations are summarized and the state-space model of the system is created. The mechanical fields are calculated and compared to finite element results. The comparison shows that the first-order sandwich plate model is inaccurate, on the other hand, the second-and third-order theories capture very well the mechanical fields compared to finite element results. The J-integral distribution is also calculated along the delamination front and it is concluded that the third-and second-order models give very good approximations of the results by finite element analysis and the virtual crack closure technique.

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Analysis of damped composite sandwich plates using plate bending elements with substitute shear strain fields based on Reddy's higher-order theory

Cited by 25 publications

References 37 publications

Improved high order free vibration analysis of thick double curved sandwich panels with transversely flexible cores

Improved high order free vibration analysis of thick double curved sandwich panels with transversely flexible cores

Dynamic Response of Composite Sandwich Beams With Arbitrary Functionally Graded Cores Subjected to Low-Velocity Impact

Analytical solution of some delamination scenarios in thick structural sandwich plates

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