“…Chandrashekhara et al [13] adopted the Lagrangian multiplier technique for the bending analysis of cross-ply clamped laminates while Ramkumar et al [9] and Chen and Ramkumar [10] used it to predict the dynamic response of clamped orthotropic plates including transverse shear. In these approaches, the displacements of the plate are assumed as…”
“…A four-layered cross-ply [0/90/90/03] graphite/epoxy laminate studied by Chandrashekhara et al [13] has the following material properties: E "21;10 psi, E "1)4;10 psi, G "G "0)6;10 psi, G "0)5;10 psi and…”
Section: Convergence Study and Verificationmentioning
confidence: 99%
“…The results are in excellent agreement for all b/a ratios. Only the de#ection data is available from Chandrashekhara et al [13]. All the computed bending moments were derived from the proposed approach and LMT described in this paper.…”
Section: Convergence Study and Verificationmentioning
“…Chandrashekhara et al [13] adopted the Lagrangian multiplier technique for the bending analysis of cross-ply clamped laminates while Ramkumar et al [9] and Chen and Ramkumar [10] used it to predict the dynamic response of clamped orthotropic plates including transverse shear. In these approaches, the displacements of the plate are assumed as…”
“…A four-layered cross-ply [0/90/90/03] graphite/epoxy laminate studied by Chandrashekhara et al [13] has the following material properties: E "21;10 psi, E "1)4;10 psi, G "G "0)6;10 psi, G "0)5;10 psi and…”
Section: Convergence Study and Verificationmentioning
confidence: 99%
“…The results are in excellent agreement for all b/a ratios. Only the de#ection data is available from Chandrashekhara et al [13]. All the computed bending moments were derived from the proposed approach and LMT described in this paper.…”
Section: Convergence Study and Verificationmentioning
“…Predictions of the EKM are compared with corresponding results achieved by the Lagrange multipliers technique (LMT) [Chandrashekhara et al 1990], again showing good agreement.…”
Section: Laminated Cylindrical Panelmentioning
confidence: 88%
“…Table 6. Dimensionless deflection of plates with different aspect ratios: comparison between the present method and results from [Chandrashekhara et al 1990] Table 7. Dimensionless central deflection of rectangular plates with various thickness ratios and laminations: comparison between the present method and results obtained from ANSYS.…”
A semianalytical solution is presented for bending of moderately thick fully clamped laminated doubly curved panels using the extended Kantorovich method (EKM). The panel is subjected to uniform and nonuniform distributed loading and cut from a rectangular platform. Based on the first-order shear deformation theory, five highly coupled second-order partial differential equations in terms of displacement components are derived. Assuming separable functions for panel displacements together with the EKM converts the governing equations into double sets of ordinary differential equations with constant coefficients in terms of x and y. The resulting ODE systems are then solved iteratively until a level of prescribed convergence is achieved. Closed-form solutions can be presented for ODE systems in each iteration. Efficiency and rapid convergence of the solution technique are examined using several examples. Predictions of both deflection and stress resultants show very good agreement with other available results in the literature. It is also shown that the same formulation and solution method can be used to obtain results for spherical and cylindrical panels and rectangular plates.
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