Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy

Kaifa Wang; Baolin Wang

doi:10.1177/1077546313513054

Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy

Kaifa Wang, Baolin Wang

Research output: Contribution to journal › Article

Abstract

Free vibration of a cracked nanobeam with consideration of surface energy and transverse shear deformation is studied. The cracked nanobeam is simplified to a system of two segments joined by a rotational spring located at the cracked section. Numerical examples demonstrate that the surface energy increases the natural frequency of the beam. However, the influence of surface energy on the natural frequency becomes smaller for the higher modes. In addition, the effect of transverse shear deformation on the frequency becomes more significant for the higher modes.

Original language	English
Pages (from-to)	2452-2464
Number of pages	13
Journal	JVC/Journal of Vibration and Control
Volume	21
Issue number	12
DOIs	https://doi.org/10.1177/1077546313513054
Publication status	Published - 2015

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title = "Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy",

abstract = "Free vibration of a cracked nanobeam with consideration of surface energy and transverse shear deformation is studied. The cracked nanobeam is simplified to a system of two segments joined by a rotational spring located at the cracked section. Numerical examples demonstrate that the surface energy increases the natural frequency of the beam. However, the influence of surface energy on the natural frequency becomes smaller for the higher modes. In addition, the effect of transverse shear deformation on the frequency becomes more significant for the higher modes. ",

keywords = "Cracks, Interfacial energy, Nanowires, Natural frequencies, Particle beams, Shear deformation, Shear flow, Energy increase, Free vibration, Higher mode, Nano beams, Rotational spring, Timoshenko beam model, Transverse shear deformation, Vibration analysis",

author = "Kaifa Wang and Baolin Wang",

year = "2015",

doi = "10.1177/1077546313513054",

language = "English",

volume = "21",

pages = "2452--2464",

journal = "JVC/Journal of Vibration and Control",

issn = "1077-5463",

publisher = "SAGE Publications Ltd",

number = "12",

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TY - JOUR

T1 - Timoshenko beam model for the vibration analysis of a cracked nanobeam with surface energy

AU - Wang, Kaifa

AU - Wang, Baolin

PY - 2015

Y1 - 2015

N2 - Free vibration of a cracked nanobeam with consideration of surface energy and transverse shear deformation is studied. The cracked nanobeam is simplified to a system of two segments joined by a rotational spring located at the cracked section. Numerical examples demonstrate that the surface energy increases the natural frequency of the beam. However, the influence of surface energy on the natural frequency becomes smaller for the higher modes. In addition, the effect of transverse shear deformation on the frequency becomes more significant for the higher modes.

AB - Free vibration of a cracked nanobeam with consideration of surface energy and transverse shear deformation is studied. The cracked nanobeam is simplified to a system of two segments joined by a rotational spring located at the cracked section. Numerical examples demonstrate that the surface energy increases the natural frequency of the beam. However, the influence of surface energy on the natural frequency becomes smaller for the higher modes. In addition, the effect of transverse shear deformation on the frequency becomes more significant for the higher modes.

KW - Cracks

KW - Interfacial energy

KW - Nanowires

KW - Natural frequencies

KW - Particle beams

KW - Shear deformation

KW - Shear flow

KW - Energy increase

KW - Free vibration

KW - Higher mode

KW - Nano beams

KW - Rotational spring

KW - Timoshenko beam model

KW - Transverse shear deformation

KW - Vibration analysis

U2 - 10.1177/1077546313513054

DO - 10.1177/1077546313513054

M3 - Article

VL - 21

SP - 2452

EP - 2464

JO - JVC/Journal of Vibration and Control

JF - JVC/Journal of Vibration and Control

SN - 1077-5463

IS - 12

ER -