Wave propogation characteristics of rotating uniform Euler-Bernoulli beams

CMES - Computer Modeling in Engineering and Sciences

Volumn 16, Issue 3, 2006, Pages 197-208

  Vinod, K G ^a   Gopalakrishnan, S ^a   Ganguli, R ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Group speed; Lagrangian; Non dispersive; Phase speed; Spectrum relation; Transfer function; Wavenumber

Indexed keywords

BENDING STRENGTH; COMPUTER SIMULATION; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; TRANSFER FUNCTIONS;

GROUP SPEED; NON-DISPERSIVE; PHASE SPEED; SPECTRUM RELATION; WAVENUMBER;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 33846436447     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Andreaus, U.; Batra, R. C.; Porfiri, M. (2005): Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method. CMES: Computer Modeling in Engineering and Sciences, vol. 9, no. 2, pp. 111-132.
2. Banerjee, J. R. (2000): Free vibration of centrifugally stiffened uniform and tapered beams using the dynamic stiffness method. Journal of Sound and Vibration, vol. 233, no. 5, pp. 857-875.
3. Chakraborty, A.; Gopalakrishnan, S. (2003): A spectrally formulated finite element for wave propagation analysis in functionally graded beams. International Journal of Solids and Structures, vol. 40, pp. 2421-2448.
4. Chakraborty; A.; Gopalakrishnan, S. (2005): A spectral finite element for axial-flexural-shear coupled wave propagation analysis in lengthwise graded beam. Comput. Mech., vol. 36, pp. 1-12.
5. Doyle, J.; Farris, T. (1990): A spectrally formulated element for flexural wave propagation in beams. International Journal of Analytical and Experimental Modal Analysis, vol. 3, pp. 1-5.
6. Doyle, J. F. (1988): A spectrally formulated finite element for longitudinal wave propagation. International Journal of Analytical and Experimental Modal Analysis, vol. 5, pp. 99-107.
7. Doyle, J. F. (1989): Wave Propagation in Structures: an FFT based spectral analysis methodology. Springer-Verlag.
8. Fedelinski, P.; Gorski, R. (2006): Analysis and optimization of Dynamically Loaded Reinforced Plates by the Coupled Boundary and Finite Element Method. CMES: Computer Modeling in Engineering and Sciences, vol. 15, no. 1, pp. 31-40.
9. Forth, S. C.; Staroselsky, A. (2005): A Hybrid FEM/BEM Approach for Designing an Aircraft Engine Structural Health Monitoring. CMES: Computer Modeling in Engineering and Sciences, vol. 9, no. 3, pp. 287-298.
10. Gopalakrishnan, S.; Doyle, J. F. (1994): Wave propagation in connected waveguides of varying cross-section. Journal of Sound and Vibration, vol. 175, no. 3, pp. 347-363.
11. Gopalakrishnan, S.; Martin, M.; Doyle, J. F. (1992): A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenko beams. Journal of Sound and Vibration, vol. 158, no. 1, pp. 11-24.
12. Han, X.; Ding, H.; Liu, G. R. (2005): Elastic waves in a hybrid multilayered piezoelectric plate. CMES: Computer Modeling in Engineering and Sciences, vol. 9, no. 1, pp. 49-56.
13. Hoa, S. V. (1979): Vibration of a rotating beam with tip mass. Journal of Sound and Vibration, vol. 67, pp. 369-381.
14. Huston, R. L.; Liu, C. Q. (2005): Advances in Computational Methods for Multibody System Dynamics. CMES: Computer Modeling in Engineering and Sciences, vol. 10, no. 2, pp. 143-152.
15. Leu, S. Y.; Chen, J. T. (2006): Sequential Limit Analysis of Rotating Hollow Cylinders of Nonlinear Isotropie Hardening. CMES: Computer Modeling in Engineering and Sciences, vol. 14, no. 2, pp. 129-140.
16. Mahapatra, D. R.; Gopalakrishnan, S. (2000): Spectral-element- based solutions for wave propagation analysis of multiply connected unsymmetric laminated composite beams. Journal of Sound and Vibration, vol. 237, no. 5, pp. 819-836.
17. Mahapatra, D. R.; Gopalakrishnan, S. (2003): A spectral finite element model for analysis of axial-flexural-shear coupled wave propagation in laminated composite beams. Composite Structures, vol. 59, pp. 67-88.
18. Martin, M.; Gopalakrishanan, S.; Doyle, J. (1994): Wave propagation in multiply connected deep wave guides. Journal of Sound and Vibration, vol. 174, no. 4, pp. 521-538.
19. Mitra, M.; Gopalakrishnan, S. (2006): Wavelet Based 2-D Spectral Finite Element Formulation for Wave Propagation Analysis in Isotropie Plates. CMES: Computer Modeling in Engineering and Sciences, vol. 15, no. 1, pp. 49-68.
20. Nagaraj, V. T.; Kumar, P. S. (1975): Rotor blade vibrations by the Gelerkin finite element method. Journal of Sound and Vibration, vol. 43, no. 3, pp. 575-577.
21. Naguleswaran, N. (1994): Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam. Journal of Sound and Vibration, vol. 176, no. 5, pp. 613-624.
22. Narayanan, G. V.; Beskos, D. E. (1982): Numerical operational methods for time-dependant linear problems. International Journal for Numerical Methods in Engineering, vol. 18, pp. 1829-1854.
23. Pawar, P. M.; Ganguli, R. (2003): Genetic fuzzy system for damage detection in beams and helicopter rotor blades. Comput. Methods Appl. Mech. Engrg., vol. 192, pp. 2031-2057.
24. Pluymers, B.; Desmet, W.; Vandepitte, D.; Sas, P. (2005): On the use of a wave based prediction technique for steady-state structural-acoustic radiation analysis. CMES: Computer Modeling in Engineering and Sciences, vol. 7, no. 2, pp. 173-184.
25. Putter, S.; Manor, H. (1978): Natural frequencies of radial rotating beams. Journal of Sound and Vibration, vol. 56, pp. 175-185.
26. Wang, G.; Wereley, N. M. (2004): Free vibration analysis of rotating blades with uniform tapers. AIAA Journal, vol. 42, no. 12, pp. 2429-2437.
27. Wright, A. D.; Smith, C. E.; Thresher, R. W.; Wang, J. L. C. (1982): Vibration modes of centrifugally stiffened beams. Journal of Applied Mechanics, vol. 49, no. 2, pp. 197-202.
28. Wu, C. Y.; Liu, X. Y.; Scarpas, A.; Ge, X. R. (2006): Spectral Element Approach for Forward Models of 3D Layered Pavement. CMES: Computer Modeling in Engineering and Sciences, vol. 12, no. 2, pp. 149-158.