Nonlocal beam theory for nonlinear vibrations of a nanobeam resting on elastic foundation

DOI10.1186/s13661-016-0561-3zbMath1336.35329OpenAlexW2289537180WikidataQ59438840 ScholiaQ59438840MaRDI QIDQ257353

Necla Togun

Publication date: 16 March 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0561-3

zbMATH Keywords

perturbation methodcubic nonlinearityHamilton's principleelastic foundationmultiple scale methodfrequency-response curvesnanobeamnonlocal elasticitynonlocal elasticity theoryvibratio

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Periodic wave propagation in nonlocal beams resting on a bilinear foundation ⋮ Dynamic analysis and identification of bi-directional functionally graded elastically supported cracked microbeam subjected to thermal shock loads ⋮ Systems of coupled clamped beams equations with full nonlinear terms: existence and location results ⋮ Non-linear forced vibration analysis of nanobeams subjected to moving concentrated load resting on a viscoelastic foundation considering thermal and surface effects ⋮ On the mechanics of nanobeams on nano-foundations

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