Experimental investigations and shape functions for lateral vibration of axially constrained beams with a concentrated mass at the centre

Journal of Sound and Vibration

Volumn 202, Issue 3, 1997, Pages 446-451

  Low, K H ^a,b   Dubey, R N ^a   Chai, G B ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039483387     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0803     Document Type: Editorial

References (13)

1. L. H. DONNELL 1976 Beams, Plates and Shells. New York: McGraw-Hill.
2. W. T. THOMSON 1993 Theory of Vibration with Applications. Englewood Cliffs, NJ: Prentice-Hall; fourth edition. See example 10.8-2.
3. M. L. JAMES, G. M. SMITH, J. C. WOLFORD and P. W. WHALEY 1994 Vibration of Mechanical and Structural Systems: with Microcomputer Applications. New York: HarperCollins.
4. I. S. RAJU, G. VENKATESWARA RAO and K. KANAKA RAJU 1976 Journal of Sound and Vibration 49, 415-422. Effect of longitudinal or inplane deformation and inertia on the large amplitude flexural vibrations of slender beams and thin plates.
5. GAJBIR SINGH, A. K. SHARMA and G. VENKATESWARA RAO 1990 Journal of Sound and Vibration 142, 77-85. Large-amplitude free vibrations of beams - a discussion on various formulations and assumptions.
6. C. MEI 1972 American Institute of Aeronautics and Astronautics Journal 10, 355-357. Nonlinear vibrations of beams by matrix displacement method.
7. K. H. Low, T. M. LIM and G. B. CHAI 1993 Computers and Structures 48, 1157-1162. Experimental and analytical investigations of vibration frequencies for centre-loaded beams.
8. G. B. CHAI, K. H. Low and T. M. LIM 1995 Journal of Sound and Vibration 181, 727-736. Tension effects on the natural frequencies of centre-loaded clamped beams.
9. S. S. RAO 1995 Mechanical Vibrations. Reading, MA: Addison-Wesley.
10. K. H. Low 1997 Journal of Sound and Vibration 201, 528-533. Closed-form formulas for fundamental vibration frequency of beams under off-centre load.
11. C. W. BERT 1993 Journal of Sound and Vibration 162, 547-557. Relationship between fundamental natural frequency and maximum static deflection for various linear vibratory systems.
12. M. J. MAURIZI, M. B. ROSALES and P. M. BELLES 1993 Journal of Sound and Vibration 177, 140-143. Comments on relationship between fundamental natural frequency and maximum static deflection for various linear vibratory systems.
13. G. B. CHAI and K. H. Low 1993 Journal of Sound and Vibration 160, 161-166. On the natural frequencies of beams carrying a concentrated mass.