Free vibration and bending of one-dimensional quasicrystal layered composite beams by using the state space and differential quadrature approach

DOI10.1007/s00707-022-03270-yzbMath1498.74031OpenAlexW4283812696MaRDI QIDQ2167846

Tuoya Sun, Jun Hong Guo

Publication date: 31 August 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03270-y

zbMATH Keywords

cantilever beamrectangular cross-sectionnatural frequencysimply supported beamclamped beamphason displacementdeep beam modelphonon displacement

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Crystalline structure (74E15) Composite and mixture properties (74E30) Numerical and other methods in solid mechanics (74S99)

Related Items (1)

Bending and vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interface

Cites Work

• An exact closed-form solution for a multilayered one-dimensional orthorhombic quasicrystal plate
• Analysis of anti-plane interface cracks in one-dimensional hexagonal quasicrystal coating
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• Nonlocal vibration and buckling of two-dimensional layered quasicrystal nanoplates embedded in an elastic medium
• Semi-analytical three-dimensional elasticity solutions for generally laminated composite plates
• Moving screw dislocation in cubic quasicrystal
• A state space approach to elasticity
• Static deformation of a multilayered one-dimensional hexagonal quasicrystal plate with piezoelectric effect
• The exact theory of one-dimensional quasicrystal deep beams
• Three-dimensional static analysis of multilayered one-dimensional orthorhombic quasicrystal spherical shells with the piezoelectric effect
• Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory
• Surface effects on an electrically permeable elliptical nano-hole or nano-crack in piezoelectric materials under anti-plane shear
• Three-dimensional exact thermo-elastic analysis of multilayered two-dimensional quasicrystal nanoplates
• A semi-analytical method for free vibration of straight orthotropic beams with rectangular cross-sections
• Decay conditions for 1D quasicrystal beams

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