Stochastic perturbation-based finite element for deflection statistics of soft core sandwich plate with random material properties

Pandit, Mihir Kumar; Singh, B.N.; Sheikh, Abdul Hamid

doi:10.1016/j.ijmecsci.2009.03.003

Cited by 39 publications

(10 citation statements)

References 34 publications

(48 reference statements)

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“…When the honeycomb sandwich panels undergo natural vibration in the absence of external force, the amplitude of the displacement of the plane is much smaller than the horizontal deflection amplitude. Therefore, you can ignore the inertial force generated by the intermediate displacement, using sandwich plate theory, so the basic equation can be derived based on the relationship between shear, load and moment [10][11][12].…”

Section: Inherent Vibration Equation Of Honeycomb Sandwich Platesmentioning

confidence: 99%

Research on the Impact of Honeycomb Sandwich Plates at Natural Frequency Changed with Geometric Parameters

Liu¹,

Du²,

Niu³

2015

TOMEJ

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In this paper, in order to find the impact of sandwich plates at natural frequency changed with its geometric and physical parameters, we deduced free vibration equation derived sandwich panels. We took the hexagonal honeycomb sandwich plates as example, and derived natural frequencies for each for use in the modeling and modal analysis, and then discussed the effect of skin thickness, core spacing and core height on the natural frequency of honeycomb sandwich plates. The result shows that the honeycomb sandwich plates have great rigidity, and compared to other parameters, the change of core height has a greater impact on the natural frequencies of honeycomb sandwich plates. When the surface thickness of quadrilateral honeycomb sandwich plates becomes thicker, its natural frequency increases with increasing length of core grid. When sandwich mesh length reaches a certain level, the natural frequency increased firstly and then decreased. When the sandwich mesh length is longer enough, the frequency decreased with the increase in the length. When the core height increased, the natural frequency increased. When the quadrilateral mesh becomes longer, its natural frequency appears to decline after the initial increase. The influence of geometric parameters on hexagonal honeycomb sandwich plates is same as on quadrilateral honeycomb and other soft sandwich plates. Later experiments confirmed some of above conclusions.

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Section: Inherent Vibration Equation Of Honeycomb Sandwich Platesmentioning

confidence: 99%

Research on the Impact of Honeycomb Sandwich Plates at Natural Frequency Changed with Geometric Parameters

Liu¹,

Du²,

Niu³

2015

TOMEJ

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“…The explicit relationships proposed herein could also be resorted to in the static analysis of interval structural problems [16][17][18][19][20][21][22], fuzzy problems [23], optimization and anti-optimization [24,25], stochastic finite elements methods [26][27][28][29][30], stability analysis of uncertain structures [31][32][33], re-analysis [34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Explicit solution for linear systems with parametric stiffness and application to uncertain structures

Settineri

Impollonia

2015

Meccanica

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The paper proposes a novel approximate explicit solution for the static response of structural systems discretized by finite elements with parametric stiffness. The solution exploits the following properties: (a) if the system comprises one parameter only, i.e. a single finite element has parametric stiffness, then the exact explicit solution can always be obtained; (b) if all element stiffnesses are considered as parameters and the exact solution is available at a given point of the parameter space (i.e. for a given realization of the parameters), then it is also known along the line passing through that point and the origin of the parameter space. The joint use of the two properties allows an accurate explicit relationship for nodal displacements which is suitable for treating different structural problems such as optimization, reanalysis, inverse analysis and reliability. The latter will be investigated in the numerical applications where Monte Carlo samples are produced by the explicit relationship rather than by the re-analysis of the structural problem with an evident reduction of computational burden.

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“…The layerwise (LW) and ZZ theories consider these requirements in addition to shear deformation. Some of the significant contributions towards ZZ and LW theories are due to Di Sciuva (1987), Murakami (1986), Cho and Parmerter (1992), Lee and Liu (1992), Ferreira et al (2005), Roque et al (2005), Pandit et al (2009aPandit et al ( , 2009b, Brischetto et al (2009), Chakrabarti et al (2011), Neves et al (2012), Demasi, L. ( , 2013 and Sahoo and Singh (2013). The various review articles on the modeling of laminated-composite and sandwich plates have been presented in the past (Noor and Burton, 1989;Reddy, 1991;Reddy and Robbins, 1994;Mallikarjuna and Kant, 1993;Liu and Li, 1996;Carrera, 1998Carrera, , 2002Carrera, , 2003Zhang and Yang, 2009).…”

Section: Introductionmentioning

confidence: 99%

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

Grover

Maiti

Singh

2014

Lat. Am. j. solids struct.

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A secant function based shear deformable finite element model is developed for the flexural behavior of laminated composite and sandwich plates with various conditions. The structural kinematics of the plate is expressed by means of secant function based shear deformation theory newly developed by the authors. The theory possesses non-linear shear deformation and also satisfies the zero transverse shear conditions on top and bottom surfaces of the plate. The field variables are elegantly utilized in order to ensure C 0 continuity requirement. Penalty parameter is implemented to secure the constraints arising due to independent field variables. A biquadratic quadrilateral element with eight nodes and 56 degrees of freedom is employed to discretize the domain. Extensive numerical tests for the flexural behavior of laminated composite and sandwich plates are conducted to affirm the validity of the present finite element model in conjunction with the improved structural kinematics. Influences of boundary conditions, loading conditions, lamination sequences, aspect ratio, span-thickness ratio, etc on the flexural behavior are investigated specifically and compared with the existing results in order to indicate the performance of the present mathematical treatment.

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Stochastic perturbation-based finite element for deflection statistics of soft core sandwich plate with random material properties

Cited by 39 publications

References 34 publications

Research on the Impact of Honeycomb Sandwich Plates at Natural Frequency Changed with Geometric Parameters

Research on the Impact of Honeycomb Sandwich Plates at Natural Frequency Changed with Geometric Parameters

Explicit solution for linear systems with parametric stiffness and application to uncertain structures

Flexural behavior of general laminated composite and sandwich plates using a secant function based shear deformation theory

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