Yayın: Torsional vibration of cracked carbon nanotubes with torsional restraints using Eringen’s nonlocal differential model
Dosyalar
Tarih
Kurum Yazarları
Yaylı, Mustafa Özgür
Yazarlar
Kandemir, Suheyla Y.
Çerçevik, Ali E.
Danışman
Dil
Türü
Yayıncı:
Sage Publications
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Özet
Free torsional vibration of cracked carbon nanotubes with elastic torsional boundary conditions is studied. Eringen's nonlocal elasticity theory is used in the analysis. Two similar rotation functions are represented by two Fourier sine series. A coefficient matrix including torsional springs and crack parameter is derived by using Stokes' transformation and nonlocal boundary conditions. This useful coefficient matrix can be used to obtain the torsional vibration frequencies of cracked nanotubes with restrained boundary conditions. Free torsional vibration frequencies are calculated by using Fourier sine series and compared with the finite element method and analytical solutions available in the literature. The effects of various parameters such as crack parameter, geometry of nanotubes, and deformable boundary conditions are discussed in detail.
Açıklama
Kaynak:
Anahtar Kelimeler:
Konusu
Torsional vibration, Cracked carbon nanotubes, Fourier sine series, Deformable boundary conditions, Buckling analysis, Stress gradient, Axial vibration, Elasticity, Contınuum, Strain, Beams, Microtubules, Nanobeams, Frequency, Acoustics, Vibration analysis, Boundary conditions, Carbon nanotubes, Deformation, Elastic waves, Elasticity, Fourier series, Linear transformations, Machine vibrations, Yarn, Coefficient matrix, Differential models, Non-local boundary conditions, Non-local elasticity theories, Rotation functions, Torsional springs, Torsional vibration
Alıntı
Kandemir, S. Y. (2019). "Torsional vibration of cracked carbon nanotubes with torsional restraints using Eringen’s nonlocal differential model". Journal of Low Frequency Noise Vibration and Active Control, 38(1), 70-87.