Stochastic finite element nonlinear free vibration analysis of piezoelectric functionally graded materials beam subjected to thermo-piezoelectric loadings with material uncertainties

DOI10.1007/s11012-013-9852-2zbMath1344.74058OpenAlexW2038908630MaRDI QIDQ2510306

Niranjan L. Shegokar, Achchhe Lal

Publication date: 1 August 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-013-9852-2

zbMATH Keywords

probability density functionhigher-order shear deformation theoryrandom eigenvalue problemfirst-order perturbation technique

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (8)

Fuzzy finite element analysis for free vibration response of functionally graded semi-rigid frame structures ⋮ Geometrically nonlinear dynamic analysis of functionally graded thick hollow cylinders using total Lagrangian MLPG method ⋮ Exact geometry SaS-based solid-shell element for coupled thermoelectroelastic analysis of smart structures with temperature-dependent material properties ⋮ The effect of uncertain material properties on free vibrations of thin periodic plates ⋮ Stochastic finite element method for free vibration characteristics of random FGM beams ⋮ Statistical identification of parameters for damaged FGM structures with material uncertainties in thermal environment ⋮ Finite element based nonlinear dynamic response of elastically supported piezoelectric functionally graded beam subjected to moving load in thermal environment with random system properties ⋮ Wave propagation analysis of smart inhomogeneous piezoelectric nanosize beams rested on an elastic medium

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear free vibration and post-buckling analysis of functionally graded beams on nonlinear elastic foundation
• Nonlinear forced vibration analysis of clamped functionally graded beams
• The stochastic finite element method: past, present and future
• Nonlinear analysis of buckling, free vibration and dynamic stability for the piezoelectric functionally graded beams in thermal environment
• Post buckling response of functionally graded materials plate subjected to mechanical and thermal loadings with random material properties
• Free vibration of functionally graded material beams with surface-bonded piezoelectric layers in thermal environment
• Stochastic analysis of compositionally graded plates with system randomness under static loading
• Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method
• Stochastic finite element analysis of the free vibration of laminated composite plates
• Stochastic finite element analysis of the free vibration of functionally graded material plates
• Stochastic nonlinear free vibration of laminated composite plates resting on elastic foundation in thermal environments
• Transient thermal stresses in a rectangular plate due to variation of heat-transfer coefficients on upper and lower surfaces
• Stochastic dynamic finite element analysis of a nonuniform beam
• Natural frequencies of composite plates with random material properties using higher-order shear deformation theory
• An analytical study on the nonlinear vibration of functionally graded beams
• Random vibration of the functionally graded laminates in thermal environments
• Static and vibration analysis of functionally graded beams using refined shear deformation theory
• A higher order beam finite element for bending and vibration problems
• Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling.
• Finite Element Large Deflection Random Response Of Thermally Buckled Plates
• Stochastic second-order perturbation approach to the stress-based finite element method

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