메뉴 건너뛰기




Volumn 15, Issue 2, 2010, Pages 289-298

Free vibration and bending analyses of cantilever microtubules based on nonlocal continuum model

Author keywords

Deflection; Microtubules; Nonlocal elasticity theory; Vibration

Indexed keywords

CONTINUUM MECHANICS; DEFLECTION (STRUCTURES); EQUATIONS OF MOTION; NANOCANTILEVERS; NUMERICAL METHODS; VIBRATION ANALYSIS;

EID: 77955304109     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca15020289     Document Type: Article
Times cited : (157)

References (23)
  • 2
    • 0004150063 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • D. Boal, Mechanics of the cell, Cambridge University Press, Cambridge, 2002.
    • (2002) Mechanics of the Cell
    • Boal, D.1
  • 3
    • 33751091995 scopus 로고    scopus 로고
    • Orthotropic elastic shell model for buckling of microtubules
    • C.Y. Wang, C.Q. Ru, A. Mioduchowski, Orthotropic elastic shell model for buckling of microtubules. Phys Rev. E, 74,052901, 2006.
    • (2006) Phys Rev. e , vol.74 , pp. 052901
    • Wang, C.Y.1    Ru, C.Q.2    Mioduchowski, A.3
  • 4
    • 38849146340 scopus 로고    scopus 로고
    • Nonlocal continuum theories of beams for the analysis of carbon nanotubes
    • J.N. Reddy, S.D. Pang, Nonlocal continuum theories of beams for the analysis of carbon nanotubes. J Appl Phy, 103,023511, 2008.
    • (2008) J Appl Phy , vol.103 , pp. 023511
    • Reddy, J.N.1    Pang, S.D.2
  • 5
    • 34447634709 scopus 로고    scopus 로고
    • Nonlocal theories for bending, buckling and vibration of beams
    • J.N. Reddy, Nonlocal theories for bending, buckling and vibration of beams. Int J Eng Sciences 45,288-307, 2007.
    • (2007) Int J Eng Sciences , vol.45 , pp. 288-307
    • Reddy, J.N.1
  • 6
    • 34447636782 scopus 로고    scopus 로고
    • Analysis of wave propagation in carbon nanotubes via elastic shell theories
    • DOI 10.1016/j.ijengsci.2007.04.001, PII S0020722507000286
    • K.M. Liew, Q. Wang, Analysis of wave propagation in carbon nanotubes via elastic shell theories, International Journal of Engineering Science, 45, 227-241, 2007. (Pubitemid 47094792)
    • (2007) International Journal of Engineering Science , vol.45 , Issue.2-8 , pp. 227-241
    • Liew, K.M.1    Wang, Q.2
  • 7
    • 33846654040 scopus 로고    scopus 로고
    • Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures
    • Q. Wang, K.M. Liew, Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Physics Letters A, 363,236-242, 2007.
    • (2007) Physics Letters A , vol.363 , pp. 236-242
    • Wang, Q.1    Liew, K.M.2
  • 9
    • 78149239879 scopus 로고    scopus 로고
    • Free vibration analysis of carbon nanotubes based on shear deformable beam theory by discrete singular convolution technique
    • In press
    • Ç. Demir, Ö. Civalek, B. Akgöz, Free Vibration Analysis of Carbon Nanotubes Based On Shear Deformable Beam Theory By Discrete Singular Convolution Technique. Mathematical and Computational Applications, In press, 2009.
    • (2009) Mathematical and Computational Applications
    • Demir, Ç.1    Civalek, Ö.2    Akgöz, B.3
  • 10
    • 33750297382 scopus 로고    scopus 로고
    • Torsion of the central pair microtubules in eukaryotic flagella due bending-driven lateral buckling
    • C. Li, C.Q. Ru, A. Mioduchowski, Torsion of the central pair microtubules in eukaryotic flagella due bending-driven lateral buckling, Biochemical and Biophysical Research Communications 351,159-164, 2006.
    • (2006) Biochemical and Biophysical Research Communications , vol.351 , pp. 159-164
    • Li, C.1    Ru, C.Q.2    Mioduchowski, A.3
  • 11
    • 44649098812 scopus 로고    scopus 로고
    • Circumferential vibration of microtubules with long axial wavelength
    • C.Y. Wang, L.C. Zhang, Circumferential vibration of microtubules with long axial wavelength, Journal of Biomechanics 41,1892-1896, 2008.
    • (2008) Journal of Biomechanics , vol.41 , pp. 1892-1896
    • Wang, C.Y.1    Zhang, L.C.2
  • 12
    • 34247578700 scopus 로고    scopus 로고
    • Wave propagation of orthotropic microtubules
    • X.S. Qian, J.Q. Zhang, C.Q., Ru, Wave propagation of orthotropic microtubules, J Appl Phys 101, 084702-084717, 2007.
    • (2007) J Appl Phys , vol.101 , pp. 084702-084717
    • Qian, X.S.1    Zhang, J.Q.2    Ru, C.Q.3
  • 16
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Applied Physics 54,4703-4710, 1983.
    • (1983) J. Applied Physics , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 17
    • 0031187639 scopus 로고    scopus 로고
    • Explicit computations of weighting coefficients in the harmonic differential quadrature
    • C. Shu, H. Xue, Explicit computations of weighting coefficients in the harmonic differential quadrature. J. Sound Vib. 204(3)549-555, 1997.
    • (1997) J. Sound Vib. , vol.204 , Issue.3 , pp. 549-555
    • Shu, C.1    Xue, H.2
  • 18
    • 0345832022 scopus 로고    scopus 로고
    • Application of Differential Quadrature (DQ) and Harmonic Differential Quadrature (HDQ) for Buckling Analysis of Thin Isotropic Plates and Elastic Columns
    • Ö. Civalek, Application of Differential Quadrature (DQ) and Harmonic Differential Quadrature (HDQ) For Buckling Analysis of Thin Isotropic Plates and Elastic Columns. Engineering Structures, 26(2)171-186, 2004.
    • (2004) Engineering Structures , vol.26 , Issue.2 , pp. 171-186
    • Civalek, Ö.1
  • 19
    • 0348144661 scopus 로고    scopus 로고
    • Harmonic Differential Quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates
    • Ö. Civalek, M. Ülker, Harmonic Differential Quadrature (HDQ) For Axisymmetric Bending Analysis Of Thin Isotropic Circular Plates. Int. J. Structural Engineering and Mechanics, 17(1)1-14, 2004.
    • (2004) Int. J. Structural Engineering and Mechanics , vol.17 , Issue.1 , pp. 1-14
    • Civalek, Ö.1    Ülker, M.2
  • 20
    • 74849117962 scopus 로고    scopus 로고
    • On the accuracy and stability of a variety of differential quadrature formulations for the vibration analysis of beams
    • C. H. W. Ng, Y. B. Zhao, Y. Xiang and G. W. Wei, On the Accuracy and Stability of a Variety of Differential Quadrature Formulations for the Vibration Analysis of Beams. International Journal of Engineering and Applied Sciences (IJEAS),1(4) 1-25, 2009.
    • (2009) International Journal of Engineering and Applied Sciences (IJEAS) , vol.1 , Issue.4 , pp. 1-25
    • Ng, C.H.W.1    Zhao, Y.B.2    Xiang, Y.3    Wei, G.W.4
  • 21
    • 76849086931 scopus 로고    scopus 로고
    • Static analysis of a functionally graded beam under a uniformly distributed load by ritz method
    • M. Şimşek, Static Analysis of a Functionally Graded Beam under a Uniformly Distributed Load by Ritz Method, International Journal of Engineering and Applied Sciences (IJEAS),1(3) 1-11, 2009.
    • (2009) International Journal of Engineering and Applied Sciences (IJEAS) , vol.1 , Issue.3 , pp. 1-11
    • Şimşek, M.1
  • 22
    • 61649096096 scopus 로고    scopus 로고
    • Axial vibration of nanorods with the nonlocal continuum rod model
    • M. Aydoǧdu, Axial vibration of nanorods with the nonlocal continuum rod model. Physica E 41,861-864, 2009.
    • (2009) Physica e , vol.41 , pp. 861-864
    • Aydoǧdu, M.1
  • 23
    • 41649110822 scopus 로고    scopus 로고
    • The initial values method for buckling nonlocal bars with application in nanotechnology
    • R. Artan, A. Tepe, The initial values method for buckling nonlocal bars with application in nanotechnology. European Journal of Mechanics A/Solids 27,469-477, 2008.
    • (2008) European Journal of Mechanics A/Solids , vol.27 , pp. 469-477
    • Artan, R.1    Tepe, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.