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Spinning Thin-Walled Anisotropic Beams

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 131)

Keywords

Divergence Instability Correspon Ding Solid Beam Spinning Beam Composite Shaft 
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References

  1. Anliker, M. and Troesch, B. A. (1963) “Coupled Bending Vibration of Pretwist Cantilever Beams,” Zeitschrift für Agewandte Mathematics und Physics (ZAMP), Vol. 4, pp. 365–379.Google Scholar
  2. Argento, A. and Scott, R. A. (1992) “Dynamic Response of a Rotating Beam Subjected to an Accelerating Distributed Surface Force,” Journal of Sound and Vibration, Vol. 157, No. 2, pp. 221–231.CrossRefGoogle Scholar
  3. Argento, A. (1995) “A Spinning Beam Subjected to a Moving Deflection Dependent Load, Part I: Response and Resonance,” Part II: Parametric Resonance (with Morano, H. L.) Journal of Sound and Vibration, Vol. 182, No. 4, pp. 595–615 and pp. 617–622.Google Scholar
  4. Argento, A. and Scott, R. A. (1995) “Elastic Wave Propagating in a Timoshenko Beam Spinning About its Longitudinal Axis,” Wave Motion, Vol. 21, pp. 67–74.CrossRefGoogle Scholar
  5. Bauchau, O. (1981) “Design, Manufacturing and Testing of High Speed Rotating Graphite-Epoxy Shaft,” Ph.D. Thesis, Massachusetts Inst. of Technology, Dept. of Aeronautical & Astronautics.Google Scholar
  6. Bert, C. W. and Kim, C. D. (1995a) “Whirling of Composite-Material Drive-shaft Including Bending-Twisting Coupling and Transverse Shear Deformation,” Journal of Vibration and Acoustics, Trans. ASME, Vol. 117, pp. 17–21.Google Scholar
  7. Bert, C. W. and Kim, C. D. (1995b) “Dynamic Instability of Composite Material Drive Shaft Subjected to Fluctuating Torque and/or Rotational Speed,” Dynamic and Stability of Systems, Vol. 10, No. 2, pp. 125–147.Google Scholar
  8. Bhaskar, K. and Librescu, L. (1995) “A Geometrically Non-Linear Theory for Laminated Anisotropic Thin-Walled Beams,” International Journal of Engineering Science, Vol. 33, No. 9, pp. 1331–1344.CrossRefGoogle Scholar
  9. Chen, M. L. and Liao, Y. S. (1991) “Vibrations of Pretwisted Spinning Beams under Axial Compressive Loads with Elastic Constraints,” Journal of Sound and Vibration, Vol. 147, No. 3, pp. 497–513.CrossRefGoogle Scholar
  10. Chen, Y., Zhao, H. B., Shen Z. P., Grieger, I. and Kröplin, B.H. (1993) “Vibrations of High Speed Rotating Shells with Calculations for Cylindrical Shells,” Journal of Sound and Vibration, Vol. 160, pp. 137–160.CrossRefGoogle Scholar
  11. Chen, L. W. and Peng, W. K. (1998) “Stability Behavior of Rotating Composite Shafts under Axial Compressive Loads,” Composite Structures, Vol. 41,3–4, pp. 253–263.Google Scholar
  12. Chang, C-Y., Chang, M-Y. and Huang, J. C. (2004) “Vibration Analysis of Rotating Composite Shafts Containing Randomly Oriented Reinforcements,” Composite Structures, Vol. 63, pp. 21–32.CrossRefGoogle Scholar
  13. Cheng, Z. W. and Batra, R. C. (2000) “Three-Dimensional Thermoelastic Deformation of a Functionally Graded Elliptic Plate,” Composites, Part B, Vol. 31, pp. 97–106.CrossRefGoogle Scholar
  14. Curti, G., Raffa, F. A. and Vatta, F. (1992) “An Analytical Approach to the Dynamic of Rotating Shafts,” Meccanica, Vol. 27, pp. 285–292.CrossRefGoogle Scholar
  15. Dawson, B. (1968) “Coupled Bending-Bending Vibration of Pretwisted Cantilever Blading Treated by the Rayleigh-Ritz Energy Method,” Journal of Mechanical Engineering Science, Vol. 10, No. 5.Google Scholar
  16. D’Eleuterio, G. M. and Hughes, P. C. (1987) “Dynamics of Gyroelastic Spacecraft,” Journal Guidance Control and Dynamics, Vol. 10, No. 4, pp. 401–405.Google Scholar
  17. Filipich, C. P., Maurizi, M. J. and Rosales, M. B. (1987) “Free Vibrations of a Spinning Uniform Beam with Ends Elastically Restrained against Rotation,” Journal of Sound and Vibration, Vol. 116, No. 3, pp. 475–482.Google Scholar
  18. Filipich, C. P., Maurizi, M. J. and Rosales, M. B. (1989) “A Note on the Free Vibration of a Spinning Beam,” Journal of Sound and Vibration, Vol. 129, pp. 350–355.CrossRefGoogle Scholar
  19. Gulick, D. W. (1994) “Thermally Induced Vibrations of an Axial Boom on a Spin-Stabilized Spacecraft,” AIAA-94-1556 CP.Google Scholar
  20. Han, R. P. S. and Zu, J. W. Z. (1992) “Modal Analysis of Rotating Shafts. A Body Fixed Axis Formulation Approach,” Journal of Sound and Vibration, Vol. 156, No. 1, pp. 1–16.CrossRefGoogle Scholar
  21. Hua, L. and Lam, K. Y. (1998) “Frequency Characteristics of a Thin Rotating Cylindrical Shell Using the Generalized Differential Quadratic Method,” International Journal of Mechanical Sciences, Vol. 40, No. 5, pp. 443–459.Google Scholar
  22. Huang, S. C. and Soedel, W. (1988) “On the Forced Vibration of Simply Supported Rotating Cylindrical Shells,” Journal of the Acoustical Society of America, Vol. 84, No. 1, pp 275–285, July.CrossRefGoogle Scholar
  23. Hughes, P. C. (1986) Spacecraft Attitude Dynamics, Wiley, New York.Google Scholar
  24. Huseyin, K. (1978) Vibrational and Stability of Multiple Parameters Systems, Noordhoof, Alpen Aan Den Rijn, The Netherlands.Google Scholar
  25. Huseyin, K. and Plaut, R. H. (1974–1975) “Transverse Vibrations and Stability of Systems with Gyroscopic Forces,” Journal of Structural Mechanics, Vol. 3, No. 2, pp. 163–177.Google Scholar
  26. Huseyin, K. and Plaut, R. H. (1975) “Divergence and Flutter Boundaries of Systems under Combined Conservative and Gyroscopic Forces,” Dynamics of Rotors, IUTAM Symposium, Lyngby, Denmark, August 12–16, 1974, pp. 182–205.Google Scholar
  27. Johnston, J. D. and Thornton, E. A. (1996) “Thermally Induced Response of Radiantly Heated Spinning Spacecraft Booms,” Journal of Thermophysics and Heat Transfer, Vol. 10,1, pp. 60–68.Google Scholar
  28. Kim, C. D. and Bert, C. W. (1993) “Critical Speed Analysis of Laminated Composite Hollow Drive Shaft,” Composites Engineering, Vol. 3, Nos. 7–8, pp. 663–643.Google Scholar
  29. Kim, W., Argento, A. and Scott, R. A. (1999) “Free Vibration of a Rotating Tapered Composite Timoshenko Shaft,” Journal of Sound and Vibration, Vol. 226, No. 1, pp. 125–147.Google Scholar
  30. Kim, W., Argento, A. and Scott, R. A. (2001a) “Forced-Vibration and Dynamic Stability of a Rotating Tapered Composite Timoshenko Shaft: Bending Motions in End-Milling Operations,” Journal of Sound and Vibration, Vol. 246, No. 4, pp. 583–600.CrossRefGoogle Scholar
  31. Kim, W., Argento, A. and Scott, R. A. (2001b) “Rotating Tapered Composite Shafts: Forced Torsional and Extensional Motions and Static Strength,” Journal of Vibration and Acoustics, Trans. ASME, Vol. 123, January, pp. 24–29.CrossRefGoogle Scholar
  32. Ko, E-E. and Kim, J-H. (2003) “Thermally Induced Vibrations of Spinning Thin-Walled Composite Beam,” AIAA Journal, Vol. 41, No. 2, pp. 296–303.MathSciNetGoogle Scholar
  33. Ku, D. M. and Chen, L. W. (1994) “Stability and Whirl Speeds of Rotating Shaft under Axial Loads,” International Journal of Analytical and Experimental Modal Analysis, Vol. 9, No. 2, pp. 111–123.Google Scholar
  34. Lam, K. Y. and Hua, L. (1997) “Vibration Analysis of a Rotating Circular Conical Shell,” International Journal of Solids and Structures, Vol. 34, pp. 2183–2197.CrossRefGoogle Scholar
  35. Lee, C. W., Katz, R., Ulsoy, A. G. and Scott, R. A. (1988) “Modal Analysis of a Distributed Parameter Rotating Shaft,” Journal of Sound and Vibration, Vol. 122, pp. 119–130.Google Scholar
  36. Lee, C.W. and Yun, J. S. (1996) “Dynamic Analysis of Flexible Rotors Subjected to Torque and Force,” Journal of Sound and Vibration, Vol. 192, No. 2, pp. 439–452.CrossRefGoogle Scholar
  37. Liao, C. L. and Dang, Y.H. (1992) “Structural Characteristics of Spinning Pretwisted Orthotropic Beams,” Computers & Structures, Vol. 45, No. 4, pp. 715–731.CrossRefGoogle Scholar
  38. Librescu, L., (1965, 1967) “Aeroelastic Stability of Orthotropic Heterogeneous Thin Panels in the Vicinity of the Flutter Critical Boundary,” Journal de Mécanique, Vol. 4, No. 1, pp. 51–76, (II) Journal de Mécanique, Vol. 6, No. 1, pp. 133–152.MathSciNetGoogle Scholar
  39. Librescu, L. (1975) Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell Type Structures, Noordhoff International Publishing, Leyden, Netherlands.Google Scholar
  40. Librescu, L., Song, O. and Kwon, H-D. (1999) “Vibration and Stability Control of Gyroelastic Beams via Smart Materials Technology,” Smart Structures NATO Science Series, 3. High Technology — Vol. 65, J. Holnicki-Szulc and J. Rodellar (Eds.), Kluwer Academic, Dordrecht, 1999, pp. 163–172.Google Scholar
  41. Librescu, L., Chiocchia, G. and Marzocca, P. (2003a) “Implications of Physical/Aerodynamical Nonlinearities on the Character of Flutter Instability Boundary,” International Journal of Non-linear Mechanics, Vol. 38, pp. 173–199.CrossRefGoogle Scholar
  42. Librescu, L., Oh, S-Y. and Song, O. (2003b) “Spinning Thin-Walled Beams Made of Functionally Graded Materials: Modeling, Vibration and Instability,” European Journal of Mechanics, A/Solids, Vol. 23, No. 3, pp. 499–515.Google Scholar
  43. Librescu, L., Marzocca, P. and Silva, W. A. (2004) “Linear/Nonlinear Supersonic Panel Flutter in a High Temperature Field,” Journal of Aircraft, Vol. 41, No. 4, pp. 918–924.Google Scholar
  44. Librescu, L., Oh, S-Y. and Song, O. (2005) “Thin-Walled Beams Made of Functionally Graded Materials and Operating in a High Temperature Environment: Vibration and Stability,” Journal of Thermal Stresses, Vol. 28, Nos 6–7, pp. 649–712.Google Scholar
  45. Likins, P.W., Barbera, F. J. and Baddeley, V. (1973) “Mathematical Modeling of Spinning Elastic Bodies for Modal Analysis,” AIAA Journal, Vol. 11, pp. 1251–1258.Google Scholar
  46. Oh, S-Y., Librescu, L. and Song, O. (2005) “Vibration Instability of Functionally Graded Circular Cylindrical Spinning Thin-Walled Beams,” Journal of Sound and Vibration, Vol. 285, Nos 4–5, pp. 1071–1091.Google Scholar
  47. Païdoussis, M. P. (1998) Fluid-Structure Interactions. Slender Structures and Axial Flow, Vol. 1, Academic Press, San Diego, London, New York, Boston, Sydney, Tokyo, Toronto.Google Scholar
  48. Rand, O. and Stavsky, Y. (1991) “Free Vibrations of Spinning Composite Cylindrical Shells,” International Journal of Solids and Structures, Vol. 28, No. 7, pp. 831–843.CrossRefGoogle Scholar
  49. Rosales, M. B. and Filipich, C. P. (1993) “Dynamic Stability of a Spinning Beam Carrying an Axial Dead Load,” Journal of Sound and Vibration, Vol. 163, No. 2, pp. 283–294.CrossRefGoogle Scholar
  50. Sabuncu, M. (1985) “Coupled Vibration Analysis of Blades with Angular Pretwist of Cubic Distribution,” AIAA Journal, Vol. 23, pp. 1424–1430.Google Scholar
  51. Saito, T. and Endo, M. (1986) “Vibration Analysis of Rotating Cylindrical Shells Based on the Timoshenko Beam Theory,” Bulletin of JSME, Vol. 29, No. 250, pp. 1239–1245, April.Google Scholar
  52. Shaw, J. and Shaw, S. W. (1989) “Instabilities and Bifurcations in a Rotating Shaft,” Journal of Sound and Vibration, Vol. 132, No. 2, pp. 227–244.MathSciNetCrossRefGoogle Scholar
  53. Shieh, R.C. (1971) “Energy and Variational Principles for Generalized (gyroscopic) Conservative Problems,” International Journal of Non-Linear Mechanics, Vol. 5, pp. 495–509.MathSciNetGoogle Scholar
  54. Shieh, R. C. (1982) “Some Principles of Elastic Shaft Stability Including Variational Principles,” Journal of Applied Mechanics, Trans. ASME, Vol. 49, pp. 191–196.zbMATHGoogle Scholar
  55. Sivadas, K. R. (1995) “Vibration Analysis of Pre-Stressed Rotating Thick Circular Conical Shell,” Journal of Sound and Vibration, Vol. 180, pp. 99–109.Google Scholar
  56. Slyper, H. A. (1962) “Coupled Bending Vibrations of Pretwisted Cantilever Beams,” Journal of Mechanical Engineering Science, Vol. 4, pp 365–379.Google Scholar
  57. Song, O. and Librescu, L. (1993) “Free Vibration of Anisotropic Composite Thin-Walled Beams of Closed Cross-Section Contour,” Journal of Sound and Vibration, Vol. 167, No. 1, pp. 129–147.CrossRefGoogle Scholar
  58. Song, O. and Librescu, L. (1997) “Modelling and Vibration of Pretwisted Spinning Composite Thin-Walled Beams,” Paper AIAA-97-1091, part 1, pp. 312–322, Kissimmee, Florida, April 7–10.Google Scholar
  59. Song, O. and Librescu, L. (1998) “Anisotropy and Structural Coupling on Vibration and Instability of Spinning Thin-Walled Beams,” Journal of Sound and Vibration, Vol. 204, No. 3, pp. 477–494.Google Scholar
  60. Song, O., Jeong, N-H. and Librescu, L. (2000a) “Vibration and Stability of Pretwisted Spinning Thin-Walled Composite Beams Featuring Bending-Bending Electric Coupling,” Journal of Sound and Vibration, Vol. 237, No. 3, Oct. 26, pp. 513–533.CrossRefGoogle Scholar
  61. Song, O., Librescu, L. and Jeong, N. H. (2000b) “Vibration and Stability Control of Spinning Flexible Shaft via Integration of Smart Material Technology,” Adaptive Structures and Material Systems, ASME 2000 AD-Vol. 60, J. Redmond and J. Main (Eds.), ASME, New York, pp. 443–451.Google Scholar
  62. Song, O., Jeong, N-H. and Librescu, L. (2001a) “Implications of Conservative and Gyroscopic Forces on Vibration and Stability of Elastically Tailored Rotating Shaft Modeled as Composite Thin-Walled Beams,” Journal of the Acoustical Society of America, Vol. 109, No. 3, pp. 972–981.CrossRefGoogle Scholar
  63. Song, O., Kim, J-B. and Librescu, L. (2001b) “Synergistic Implications of Tailoring and Adaptive Materials Technology on Vibration Control of Anisotropic Thin-Walled Beams,” International Journal of Engineering Science, Vol. 39, No. 1, December, pp. 71–94.CrossRefGoogle Scholar
  64. Song, O., Kwon, H-D. and Librescu, L. (2001c) “Modeling, Vibration and Stability of Elastically Tailored Composite Thin-Walled Beams Carrying a Spinning Tip Rotor,” Journal of the Acoustical Society of America, Vol. 110, Issue 2, August, pp. 877–886.CrossRefGoogle Scholar
  65. Song, O., Librescu, L. and Kwon, H-D. (2002a) “Vibration and Stability Control of Robotic Manipulator Systems Consisting of a Thin-Walled Beam and a Spinning Tip Rotor,” Journal of Robotic Systems, Vol. 19, No. 10, pp. 469–489.CrossRefGoogle Scholar
  66. Song, O., Librescu, L. and Jeong, N-H. (2002b) “Vibration and Stability Control of Smart Composite Rotating Shaft Via Structural Tailoring and Piezoelectric Strain Actuators,” Journal of Sound and Vibration, Vol. 257, No. 3, pp. 503–525.CrossRefGoogle Scholar
  67. Sturia, F. A. and Argento, A. (1996) “Free and Forced Vibrations of a Spinning Viscoelastic Beams,” Journal of Vibration and Acoustics, Trans. ASME, Vol. 118, July, pp. 463–468.Google Scholar
  68. Tekinalp, O. and Ulsoy, A. G. (1989) “Modeling and Finite Element Analysis of Drill Bit Vibration,” Journal of Vibration, Acoustics, Stress and Reliability in Design, Trans. ASME, Vol. 111, pp. 148–155.Google Scholar
  69. Tylikowski, A. (1996) “Dynamic Stability of Rotating Composite Shafts,” Mechanics Research Communications, Vol. 23, No. 2, pp. 175–180.zbMATHCrossRefGoogle Scholar
  70. Yamanaka, K., Heppler, G. R. and Huseyin, K. (1995) “The Stability of a Flexible Link with a Tip Rotor and a Compressive Tip Load,” IEEE Trans. Rob. Autom., Vol. 11, No. 6, pp. 882–886.CrossRefGoogle Scholar
  71. Yamanaka, K., Heppler, G. R. and Huseyin, K. (1996) “Stability of Gyroelastic Beams,” AIAA Journal, Vol. 34, No. 6, pp. 1270–1278.Google Scholar
  72. Zohar, A. and Aboudi, J. (1973) “The Free Vibrations of a Thin Circular Finite Rotating Cylinder,” International Journal of Mechanical Sciences, Vol. 15, pp. 269–278.CrossRefGoogle Scholar
  73. Zu, J. W. and Han, R. P. S. (1992) “Natural Frequencies and Normal Modes of a Spinning Timoshenko Beam with General Boundary Conditions,” Journal of Applied Mechanics, Trans. ASME, Vol. 59, June, pp. 197–204.Google Scholar
  74. Zu, J. W. and Melianson, J. (1998) “Natural Frequencies and Normal Modes for Damped Spinning Timoshenko Beam with General Boundary Conditions,” Journal of Applied Mechanics, Trans. ASME, Vol. 65, September, pp. 770–772.Google Scholar

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