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

Yu Wang; Fengming Li; Xingjian Jing; Yize Wang

doi:10.1016/j.physleta.2015.04.002

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

Yu Wang, Fengming Li, Xingjian Jing, Yize Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

30 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 language	English
Pages (from-to)	1532-1537
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	379
Issue number	24-25
DOIs	https://doi.org/10.1016/j.physleta.2015.04.002
Publication status	Published - 31 Jul 2015

Keywords

Boundary conditions
Double-layered nanoplates
Nonlinear vibration
Small scale effect

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1016/j.physleta.2015.04.002

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title = "Nonlinear vibration analysis of double-layered nanoplates with different boundary conditions",

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.",

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AU - Wang, Yu

AU - Li, Fengming

AU - Jing, Xingjian

AU - Wang, Yize

PY - 2015/7/31

Y1 - 2015/7/31

N2 - 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.

AB - 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.

KW - Boundary conditions

KW - Double-layered nanoplates

KW - Nonlinear vibration

KW - Small scale effect

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EP - 1537

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 24-25

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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