Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory

DOI10.1007/s10483-016-2085-6zbMath1342.74081OpenAlexW2379173444MaRDI QIDQ531016

Yong-Cai Geng, Sumit K. Garg

Publication date: 2 August 2016

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

Full work available at URL: https://doi.org/10.1007/s10483-016-2085-6

zbMATH Keywords

size effectnonlinear vibrationfunctionally graded material (FGM)torsional vibrationcouple stress theorymicro/nano-tube

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Random materials and composite materials (74A40) Stress (74A10)

Related Items (4)

Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model ⋮ Torsion of a functionally graded material ⋮ Nonlinear vibration analysis of functionally graded flow pipelines under generalized boundary conditions based on homotopy analysis ⋮ Instability of functionally graded micro-beams via micro-structure-dependent beam theory

Cites Work

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• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• Elastic materials with couple-stresses
• Nonlinear free vibration of size-dependent functionally graded microbeams
• Couple stress based strain gradient theory for elasticity
• Scale effects on nonlocal buckling analysis of bilayer composite plates under non-uniform uniaxial loads
• Effects of couple-stresses in linear elasticity
• Beyond Perturbation

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