Dynamics of rotating composite beams: A comparative study between CNT reinforced polymer composite beams and laminated composite beams using spectral finite elements

International Journal of Mechanical Sciences

Volumn 64, Issue 1, 2012, Pages 110-126

  Deepak, B P ^a   Ganguli, Ranjan ^a   Gopalakrishnan, S ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Carbon nanotube; Dynamic stiffness matrix; Frequency response function; Laminated composite; Rotating beam; Wavenumber

Indexed keywords

CENTRIFUGAL FORCES; COMPARATIVE STUDIES; COMPOSITE BEAM; DYNAMIC STIFFNESS MATRIX; EULER BERNOULLI BEAMS; EXACT SOLUTION; FIBER REINFORCED; FREE VIBRATION; FREQUENCY RESPONSE FUNCTIONS; GOVERNING DIFFERENTIAL EQUATIONS; INTERPOLATING FUNCTIONS; L/D RATIO; LAMINATED COMPOSITE BEAM; POLYMER COMPOSITE; POLYMER-NANOCOMPOSITE; REINFORCED POLYMER COMPOSITE BEAMS; ROTATING BEAM; ROTATION SPEED; SPECTRAL ELEMENT; SPECTRAL FINITE ELEMENTS; WAVE NUMBERS; WAVE PROPAGATION CHARACTERISTICS;

CARBON FIBERS; CARBON NANOTUBES; DIFFERENTIAL EQUATIONS; DYNAMICS; FREQUENCY RESPONSE; IMPULSE RESPONSE; LAMINATED COMPOSITES; NANOCOMPOSITES; POLYMERS;

COMPOSITE BEAMS AND GIRDERS;

EID: 84867404195     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2012.07.009     Document Type: Article

References (36)

1. NG Stephen, and Y. Zhang Eigen analysis and continuum modeling of pre-twisted repetitive beam-like structures Int J Solids Struct 43 13 2006 3832 3855
2. Hunter WF. Integrating matrix method for determining the natural vibration characteristics of propeller blades. NASA TN 1970; D-6064.
3. D. Pnueli Natural bending frequency comparable to rotational frequency in rotating cantilever beam J Appl Mech 39 2 1972 604 606
4. CHJ Fox, and JS. Burdess The natural frequencies of a thin rotating cantilever with offset root J Sound Vib 65 2 1979 151 158
5. AD Wright, CE Smith, RW Thresher, and JLC. Wang Vibration modes of centrifugally stiffened beams J Appl Mech 49 2 1982 197 202
6. N. Naguleswaran Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam J Sound Vib 176 5 1994 613 624
7. JF. Doyle A spectrally formulated finite element for longitudinal wave propagation Int J Anal Exp Modal Anal 3 1 1988 1 5
8. JF. Doyle Wave propagation in structures: an FFT based spectral analysis methodology 1989 Springer-Verlag New York
9. JF Doyle, and TN. Farris A spectrally formulated element for flexural wave propagation in beams Int J Anal Exp Modal Anal 5 2 1990 99 107
10. CES Cesnik, and S. Shin On the modeling of integrally actuated helicopter blades Int J Solids Struct 38 10-13 2001 1765 1789
11. J Chung, and HH. Yoo Dynamic analysis of a rotating cantilever beam by using the finite element method J Sound Vib 249 1 2002 147 164
12. D Thakkar, and R. Ganguli Dynamic response of rotating beams with piezoceramic actuation J Sound Vib 270 4-5 2004 729 753
13. PK Gudla, and R. Ganguli Discontinuous Galerkin finite element in time for solving periodic differential equations Comput Method Appl Mech Eng 196 1-3 2006 682 696
14. PM Pawar, and R. Ganguli On the effect of progressive damage on composite helicopter rotor system behavior Compos Struct 78 3 2007 410 423
15. M Mitra, and S. Gopalakrishnan Wave propagation analysis in carbon nanotube embedded composite using wavelet based spectral finite elements Smart Mater Struct 15 1 2006 104 122
16. A Chakraborty, MS Sivakumar, and S. Gopalakrishnan Spectral element based model for wave propagation analysis in multi-wall carbon nanotubes Int J Solids Struct 43 2 2006 279 294
17. KG Vinod, S Gopalakrishnan, and R. Ganguli Wave propagation characteristics of rotating Euler-Bernoulli beams Comput Model Eng Sci 16 3 2006 197 208
18. KG Vinod, S Gopalakrishnan, and R. Ganguli Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements Int J Solids Struct 44 18-19 2007 5875 5893
19. R Andrews, and MC. Weisenberger Carbon nanotube polymer composites Curr Opin Solid State Mater Sci 8 1 2004 31 37
20. SR Bakshi, RG Batista, and A. Agarwal Quantification of carbon nanotube distribution and property correlation in nanocomposites Composites: Part A 40 8 2009 1311 1318
21. RS Ruoff, D Qian, and WK. Liu Mechanical properties of carbon nanotubes: theoretical predictions and experimental measurements C R Phys 4 9 2003 993 1008
22. T Natsuki, T Hayashi, and M. Endo Wave propagation of carbon nanotubes embedded in an elastic medium J Appl Phys 97 044307 2005 1 6
23. D Srivastava, C Wei, and K. Cho Nanomechanics of carbon nanotubes and composites Appl Mech Rev 56 2 2003 215 230
24. T Murmu, and SC. Pradhan Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM Physica E 41 7 2009 1232 1239
25. J Wuite, and S. Adali Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis Compos Struct 71 3-4 2005 388 396
26. GM Odegard, TS Gates, LM Nicholson, and KE. Wise Equivalent-Continuum Modeling of Nano-Structured Materials Compos Sci Technol 62 14 2002 1869 1880
27. S Narendar, and S. Gopalakrishnan Nonlocal scale effects on wave propagation in multi-walled carbon nanotubes Comput Mater Sci 47 2 2009 526 538
28. S Narendar, D Roy Mahapatra, and S. Gopalakrishnan Investigation of the effect of nonlocal scale on ultrasonic wave dispersion characteristics of a monolayer graphene Comput Mater Sci 49 4 2010 734 742
29. ZH Yao, JD Xu, HT Wang, and XP. Zheng Simulation of CNT composites using fast multipole BEM J Mar Sci Technol 17 3 2009 194 202
30. SN Mahmoodi, N Jalili, and SE. Khadem An experimental investigation of nonlinear vibration and frequency response analysis of cantilever viscoelastic beams J Sound Vib 311 3-5 2008 1409 1419
31. S Gopalakrishnan, and JF. Doyle Wave propagation in connected waveguides of varying cross-section J Sound Vib 175 3 1994 347 363
32. AV Desai, and MA. Haque Mechanics of the interface for carbon nanotube-polymer composites Thin Wall Struct 43 11 2005 1787 1803
33. D Qian, EC Dickey, R Andrews, and T. Rantell Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites Appl Phys Lett 76 20 2000 2868
34. D Qian, and EC. Dickey In-situ transmission electron microscopy studies of polymer-carbon nanotube composite deformation J Microsc 204 1 2001 39 45
35. M.S. Dresselhaus, G. Dresselhaus, and R. Saito Physics of carbon nanotubes Carbon 33 7 1995 883 891
36. G Wang, and NM. Wereley Free vibration analysis of rotating blades with uniform tapers AIAA J 42 12 2004 2429 2437