Free vibration of carbon nanotube reinforced composite plate on point supports using Lagrangian multipliers

DOI10.1007/S11012-016-0466-3zbMath1380.74047OpenAlexW2466513580MaRDI QIDQ1696413

Peng Zhang

Publication date: 14 February 2018

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-016-0466-3

zbMATH Keywords

Chebyshev polynomialsRitz methodLagrangian multipliercarbon nanotube reinforced compositepoint support

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Composite and mixture properties (74E30)

Related Items (8)

Nonlinear free vibration modeling of anisogrid lattice sandwich plates based on a weak formulation analysis ⋮ Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique ⋮ A new Chebyshev spectral approach for vibration of in-plane functionally graded Mindlin plates with variable thickness ⋮ Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method ⋮ New analytic free vibration solutions of orthotropic rectangular plates by a novel symplectic approach ⋮ Free vibration analysis of carbon nanotube-reinforced functionally graded composite shell structures ⋮ Isogeometric large amplitude free vibration of graphene reinforced laminated plates in thermal environment using NURBS formulation ⋮ Multi-Objective Optimization of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Plates Using Deep Feedforward Neural Networks-NSGAII Algorithm

Cites Work

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• Computation of vibration solution for functionally graded carbon nanotube-reinforced composite thick plates resting on elastic foundations using the element-free IMLS-Ritz method
• Nonlinear free vibration of temperature-dependent sandwich beams with carbon nanotube-reinforced face sheets
• Thermal buckling of temperature dependent FG-CNT reinforced composite plates
• Mixed Navier-layerwise differential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates
• Vibration and buckling of rectangular plates with nonuniform elastic constraints in rotation
• 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method.
• Vibrations of point-supported rectangular plates with variable thickness using a set of static tapered beam functions
• Vibration Analysis of Corner Supported Mindlin Plates of Arbitrary Shape Using the Lagrange Multiplier Method
• Effects of Arbitrarily Distributed Elastic Point Constraints on Vibrational Behaviour of Rectangular Plates

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