Eigenfrequency loci crossings, veerings and mode splittings of two cantilevers coupled by an overhang

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Eigenfrequency loci crossings, veerings and mode splittings of two cantilevers coupled by an overhang. / Zhang, Yin; Petrov, Yuri; Zhao, Ya Pu.

In: Journal of Physics Communications, Vol. 4, No. 8, 085010, 2020, p. 1-16.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{2eeae7e9b4b8406fa89cce7ff4eb86f5,

title = "Eigenfrequency loci crossings, veerings and mode splittings of two cantilevers coupled by an overhang",

abstract = "Eigenfrequency loci veering, which indicates strong mode coupling and sometimes mode localization, is a much sought-after property in the applications of mass sensing and opto/electromechanics. A weak physical coupling is the mechanism responsible for the eigenfrequency loci veering and overhang is a widely used structure to realize such mechanism. A continuum model, which is more accurate and straightforward as compared with the discrete models, is presented for the structure of two overhanged cantilevers. The eigenvalue problem formulation based on this continuum model leads to a direct computation of the eigenfrequencies, which does not involve any numerical discretization procedure. A comprehensive study on the eigenfrequency loci veerings and mode splittings of the overhanged structure is presented. The influences of various parameters on the eigenfrequency loci crossing and veerings are also systematically studied. An efficient optimum design tool for the eigenfrequency loci veering of an overhanged structure is provided by the continuum model together with a direct computation method.",

keywords = "Crossing, Eigenfrequency, Mode splitting, Veering",

author = "Yin Zhang and Yuri Petrov and Zhao, {Ya Pu}",

note = "Publisher Copyright: {\textcopyright} 2020 The Author(s). Published by IOP Publishing Ltd.",

year = "2020",

doi = "10.1088/2399-6528/abab3f",

language = "English",

volume = "4",

pages = "1--16",

journal = "Journal of Physics Communications",

issn = "2399-6528",

publisher = "IOP Publishing Ltd.",

number = "8",

}

RIS

TY - JOUR

T1 - Eigenfrequency loci crossings, veerings and mode splittings of two cantilevers coupled by an overhang

AU - Zhang, Yin

AU - Petrov, Yuri

AU - Zhao, Ya Pu

PY - 2020

Y1 - 2020

N2 - Eigenfrequency loci veering, which indicates strong mode coupling and sometimes mode localization, is a much sought-after property in the applications of mass sensing and opto/electromechanics. A weak physical coupling is the mechanism responsible for the eigenfrequency loci veering and overhang is a widely used structure to realize such mechanism. A continuum model, which is more accurate and straightforward as compared with the discrete models, is presented for the structure of two overhanged cantilevers. The eigenvalue problem formulation based on this continuum model leads to a direct computation of the eigenfrequencies, which does not involve any numerical discretization procedure. A comprehensive study on the eigenfrequency loci veerings and mode splittings of the overhanged structure is presented. The influences of various parameters on the eigenfrequency loci crossing and veerings are also systematically studied. An efficient optimum design tool for the eigenfrequency loci veering of an overhanged structure is provided by the continuum model together with a direct computation method.

AB - Eigenfrequency loci veering, which indicates strong mode coupling and sometimes mode localization, is a much sought-after property in the applications of mass sensing and opto/electromechanics. A weak physical coupling is the mechanism responsible for the eigenfrequency loci veering and overhang is a widely used structure to realize such mechanism. A continuum model, which is more accurate and straightforward as compared with the discrete models, is presented for the structure of two overhanged cantilevers. The eigenvalue problem formulation based on this continuum model leads to a direct computation of the eigenfrequencies, which does not involve any numerical discretization procedure. A comprehensive study on the eigenfrequency loci veerings and mode splittings of the overhanged structure is presented. The influences of various parameters on the eigenfrequency loci crossing and veerings are also systematically studied. An efficient optimum design tool for the eigenfrequency loci veering of an overhanged structure is provided by the continuum model together with a direct computation method.

KW - Crossing

KW - Eigenfrequency

KW - Mode splitting

KW - Veering

UR - http://www.scopus.com/inward/record.url?scp=85090254394&partnerID=8YFLogxK

U2 - 10.1088/2399-6528/abab3f

DO - 10.1088/2399-6528/abab3f

M3 - Article

AN - SCOPUS:85090254394

VL - 4

SP - 1

EP - 16

JO - Journal of Physics Communications

JF - Journal of Physics Communications

SN - 2399-6528

IS - 8

M1 - 085010

ER -

ID: 88240100