Nonlinear vibration analysis of double-layered nanoplates with different boundary conditions

Yu Wang, Fengming Li, Xingjian Jing, Yize Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)

Abstract

By the nonlocal theory, the nonlinear equations for double-layered nanoplates (DLNP) with different boundary conditions are established. The relation between aspect ratio and nonlinear frequencies with fixed mode amplitude is discussed. This relation for two vibration modes presents completely distinct trends. The novel fact is observed that there exists a point P where nonlinearity is weakest for the fundamental mode. Furthermore, we notice that P only appears for clamped movable edge when neglecting the nonlocal effect, which is substantially different from the other boundary conditions. It should distinguish whether the edge is movable or immovable for studying nonlinear dynamics of DLNP.
Original languageEnglish
Pages (from-to)1532-1537
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume379
Issue number24-25
DOIs
Publication statusPublished - 31 Jul 2015

Keywords

  • Boundary conditions
  • Double-layered nanoplates
  • Nonlinear vibration
  • Small scale effect

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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