Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium

DOI10.1007/s10483-021-2743-6zbMath1480.74125OpenAlexW3175301244MaRDI QIDQ825409

Ernian Pan, Tuoya Sun, Jun Hong Guo

Publication date: 17 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-021-2743-6

zbMATH Keywords

critical buckling loadpropagator matrix methodPasternak foundationdecagonal quasicrystal layered nanoplateoptimal vibration frequencyquasiperiodical direction

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Crystalline structure (74E15) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (4)

Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory ⋮ Free vibration and bending of one-dimensional quasicrystal layered composite beams by using the state space and differential quadrature approach ⋮ Effects of layer number and initial pressure on continuum-based buckling analysis of multi-walled carbon nanotubes accounting for van der Waals interaction ⋮ Three-dimensional interfacial fracture analysis of a one-dimensional hexagonal quasicrystal coating

Cites Work

• Exact electroelastic analysis of piezoelectric laminae via state space approach
• Three-dimensional exact solution of layered two-dimensional quasicrystal simply supported nanoplates with size-dependent effects
• Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory
• A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects
• On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter
• Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
• Nonlocal Continuum Field Theories

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