Academic Journal

Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions

التفاصيل البيبلوغرافية
العنوان: Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions
المساهمون: Mühendislik Fakültesi, İnşaat Mühendisliği, orcid:0000-0003-2231-170X, orcid:0000-0003-1730-7810, Uzun, Büşra, Kafkas, Uğur, Yaylı, Mustafa Özgür, ABE-6914-2020, 57208629064, 57194631528, 44661926700
بيانات النشر: Wiley-VCH
سنة النشر: 2020
المجموعة: Açık Erişim@BUU (Bursa Uludağ Üniversitesi)
مصطلحات موضوعية: Axial spring, Bishop's rod theory, Frequencies, Nonlocal elasticity theory, Vibrational behavior, Free-vibration analysis, Nonlocal elasticity, Longitudinal vibrations, Wave-propagation, Deformation, Nonuniform, Nanobeams, Models, Mathematics, Mechanics, Elasticity, Linear transformations, Mathematical transformations, Nanorods, Arbitrary boundary conditions, Axial vibrations, Different boundary condition, Eigen-value problems, Non-local elasticity theories, System of linear equations, Vibrational modes, Boundary conditions, applied, Strain Gradient, Nonlocal
الوصف: In the present work, axial vibrational behavior of nanorods with different boundary conditions is researched. Bishop's rod theory is implemented to simulate the axial deflection. Size-dependency is captured by using Eringen's nonlocal elasticity theory. Based on nonlocal deformable boundary conditions and Stokes' transformation, a system of linear equations is derived and then constructed an Eigen value problem. Several numerical examples are presented to investigate the significance of various parameters such as geometric parameters, vibrational modes, various values of nonlocal parameter and axial spring parameters on the axial frequencies of nanorods. The numerical examples indicate that the deformable boundary conditions and small scale parameter have considerable effects on the axial vibration response.
نوع الوثيقة: article in journal/newspaper
اللغة: English
Relation: Makale - Uluslararası Hakemli Dergi; ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik; Uzun, B. vd. (2020). "Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions". ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 100(12).; https://doi.org/10.1002/zamm.202000039; https://hdl.handle.net/11452/39825; 000551849400001; 100; 12
DOI: 10.1002/zamm.202000039
الاتاحة: https://hdl.handle.net/11452/39825
https://doi.org/10.1002/zamm.202000039
https://onlinelibrary.wiley.com/doi/10.1002/zamm.202000039
Rights: info:eu-repo/semantics/closedAccess
رقم الانضمام: edsbas.CAD0239B
قاعدة البيانات: BASE
ResultId 1
Header edsbas
BASE
edsbas.CAD0239B
835
3
Academic Journal
academicJournal
835.017944335938
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsbas&AN=edsbas.CAD0239B&custid=s6537998&authtype=sso
FullText Array ( [Availability] => 0 )
Array ( [0] => Array ( [Url] => https://hdl.handle.net/11452/39825# [Name] => EDS - BASE [Category] => fullText [Text] => View record in BASE [MouseOverText] => View record in BASE ) )
Items Array ( [Name] => Title [Label] => Title [Group] => Ti [Data] => Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions )
Array ( [Name] => Author [Label] => Contributors [Group] => Au [Data] => Mühendislik Fakültesi<br />İnşaat Mühendisliği<br />orcid:0000-0003-2231-170X<br />orcid:0000-0003-1730-7810<br />Uzun, Büşra<br />Kafkas, Uğur<br />Yaylı, Mustafa Özgür<br />ABE-6914-2020<br />57208629064<br />57194631528<br />44661926700 )
Array ( [Name] => Publisher [Label] => Publisher Information [Group] => PubInfo [Data] => Wiley-VCH )
Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2020 )
Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => Açık Erişim@BUU (Bursa Uludağ Üniversitesi) )
Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22Axial+spring%22">Axial spring</searchLink><br /><searchLink fieldCode="DE" term="%22Bishop's+rod+theory%22">Bishop's rod theory</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies%22">Frequencies</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlocal+elasticity+theory%22">Nonlocal elasticity theory</searchLink><br /><searchLink fieldCode="DE" term="%22Vibrational+behavior%22">Vibrational behavior</searchLink><br /><searchLink fieldCode="DE" term="%22Free-vibration+analysis%22">Free-vibration analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlocal+elasticity%22">Nonlocal elasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Longitudinal+vibrations%22">Longitudinal vibrations</searchLink><br /><searchLink fieldCode="DE" term="%22Wave-propagation%22">Wave-propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Deformation%22">Deformation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonuniform%22">Nonuniform</searchLink><br /><searchLink fieldCode="DE" term="%22Nanobeams%22">Nanobeams</searchLink><br /><searchLink fieldCode="DE" term="%22Models%22">Models</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanics%22">Mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Elasticity%22">Elasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+transformations%22">Linear transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Nanorods%22">Nanorods</searchLink><br /><searchLink fieldCode="DE" term="%22Arbitrary+boundary+conditions%22">Arbitrary boundary conditions</searchLink><br /><searchLink fieldCode="DE" term="%22Axial+vibrations%22">Axial vibrations</searchLink><br /><searchLink fieldCode="DE" term="%22Different+boundary+condition%22">Different boundary condition</searchLink><br /><searchLink fieldCode="DE" term="%22Eigen-value+problems%22">Eigen-value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Non-local+elasticity+theories%22">Non-local elasticity theories</searchLink><br /><searchLink fieldCode="DE" term="%22System+of+linear+equations%22">System of linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Vibrational+modes%22">Vibrational modes</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+conditions%22">Boundary conditions</searchLink><br /><searchLink fieldCode="DE" term="%22applied%22">applied</searchLink><br /><searchLink fieldCode="DE" term="%22Strain+Gradient%22">Strain Gradient</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlocal%22">Nonlocal</searchLink> )
Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => In the present work, axial vibrational behavior of nanorods with different boundary conditions is researched. Bishop's rod theory is implemented to simulate the axial deflection. Size-dependency is captured by using Eringen's nonlocal elasticity theory. Based on nonlocal deformable boundary conditions and Stokes' transformation, a system of linear equations is derived and then constructed an Eigen value problem. Several numerical examples are presented to investigate the significance of various parameters such as geometric parameters, vibrational modes, various values of nonlocal parameter and axial spring parameters on the axial frequencies of nanorods. The numerical examples indicate that the deformable boundary conditions and small scale parameter have considerable effects on the axial vibration response. )
Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => article in journal/newspaper )
Array ( [Name] => Language [Label] => Language [Group] => Lang [Data] => English )
Array ( [Name] => NoteTitleSource [Label] => Relation [Group] => SrcInfo [Data] => Makale - Uluslararası Hakemli Dergi; ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik; Uzun, B. vd. (2020). "Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions". ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 100(12).; https://doi.org/10.1002/zamm.202000039; https://hdl.handle.net/11452/39825; 000551849400001; 100; 12 )
Array ( [Name] => DOI [Label] => DOI [Group] => ID [Data] => 10.1002/zamm.202000039 )
Array ( [Name] => URL [Label] => Availability [Group] => URL [Data] => https://hdl.handle.net/11452/39825<br />https://doi.org/10.1002/zamm.202000039<br />https://onlinelibrary.wiley.com/doi/10.1002/zamm.202000039 )
Array ( [Name] => Copyright [Label] => Rights [Group] => Cpyrght [Data] => info:eu-repo/semantics/closedAccess )
Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsbas.CAD0239B )
RecordInfo Array ( [BibEntity] => Array ( [Identifiers] => Array ( [0] => Array ( [Type] => doi [Value] => 10.1002/zamm.202000039 ) ) [Languages] => Array ( [0] => Array ( [Text] => English ) ) [Subjects] => Array ( [0] => Array ( [SubjectFull] => Axial spring [Type] => general ) [1] => Array ( [SubjectFull] => Bishop's rod theory [Type] => general ) [2] => Array ( [SubjectFull] => Frequencies [Type] => general ) [3] => Array ( [SubjectFull] => Nonlocal elasticity theory [Type] => general ) [4] => Array ( [SubjectFull] => Vibrational behavior [Type] => general ) [5] => Array ( [SubjectFull] => Free-vibration analysis [Type] => general ) [6] => Array ( [SubjectFull] => Nonlocal elasticity [Type] => general ) [7] => Array ( [SubjectFull] => Longitudinal vibrations [Type] => general ) [8] => Array ( [SubjectFull] => Wave-propagation [Type] => general ) [9] => Array ( [SubjectFull] => Deformation [Type] => general ) [10] => Array ( [SubjectFull] => Nonuniform [Type] => general ) [11] => Array ( [SubjectFull] => Nanobeams [Type] => general ) [12] => Array ( [SubjectFull] => Models [Type] => general ) [13] => Array ( [SubjectFull] => Mathematics [Type] => general ) [14] => Array ( [SubjectFull] => Mechanics [Type] => general ) [15] => Array ( [SubjectFull] => Elasticity [Type] => general ) [16] => Array ( [SubjectFull] => Linear transformations [Type] => general ) [17] => Array ( [SubjectFull] => Mathematical transformations [Type] => general ) [18] => Array ( [SubjectFull] => Nanorods [Type] => general ) [19] => Array ( [SubjectFull] => Arbitrary boundary conditions [Type] => general ) [20] => Array ( [SubjectFull] => Axial vibrations [Type] => general ) [21] => Array ( [SubjectFull] => Different boundary condition [Type] => general ) [22] => Array ( [SubjectFull] => Eigen-value problems [Type] => general ) [23] => Array ( [SubjectFull] => Non-local elasticity theories [Type] => general ) [24] => Array ( [SubjectFull] => System of linear equations [Type] => general ) [25] => Array ( [SubjectFull] => Vibrational modes [Type] => general ) [26] => Array ( [SubjectFull] => Boundary conditions [Type] => general ) [27] => Array ( [SubjectFull] => applied [Type] => general ) [28] => Array ( [SubjectFull] => Strain Gradient [Type] => general ) [29] => Array ( [SubjectFull] => Nonlocal [Type] => general ) ) [Titles] => Array ( [0] => Array ( [TitleFull] => Axial dynamic analysis of a Bishop nanorod with arbitrary boundary conditions [Type] => main ) ) ) [BibRelationships] => Array ( [HasContributorRelationships] => Array ( [0] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Mühendislik Fakültesi ) ) ) [1] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => İnşaat Mühendisliği ) ) ) [2] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => orcid:0000-0003-2231-170X ) ) ) [3] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => orcid:0000-0003-1730-7810 ) ) ) [4] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Uzun, Büşra ) ) ) [5] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Kafkas, Uğur ) ) ) [6] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Yaylı, Mustafa Özgür ) ) ) [7] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => ABE-6914-2020 ) ) ) [8] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => 57208629064 ) ) ) [9] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => 57194631528 ) ) ) [10] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => 44661926700 ) ) ) ) [IsPartOfRelationships] => Array ( [0] => Array ( [BibEntity] => Array ( [Dates] => Array ( [0] => Array ( [D] => 01 [M] => 01 [Type] => published [Y] => 2020 ) ) [Identifiers] => Array ( [0] => Array ( [Type] => issn-locals [Value] => edsbas ) ) ) ) ) ) )
IllustrationInfo