Closed-form formulas for fundamental vibration frequency of beams under off-centre load

Journal of Sound and Vibration

Volumn 201, Issue 4, 1997, Pages 528-533

  Low, K H ^a,b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001296267     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0706     Document Type: Editorial

References (9)

1. G. B. WARBURTON 1964 The Dynamical Behaviour of Structures. Oxford: Pergamon Press.
2. S. P. TIMOSHENKO, D. H. YOUNG and W. WEAVER, JR. 1974 Vibration Problems in Engineering, Section 1.4. New York: John Wiley; fourth edition.
3. L. H. DONNELL 1976 Beams, Plates and Shells. New York: McGraw-Hill.
4. R. D. BLEVINS 1979 Formulas for Natural Frequency and Mode Shape. New York: Van Nostrand Reinhold.
5. J. L. HUMAR 1990 Dynamics of Structures. Section 8-5. Englewood Cliffs, NJ: Prentice Hall.
6. WILLIAM T. THOMSON 1993 Theory of Vibration with Applications, example 10.8-2. Englewood Cliffs, NJ: Prentice Hall; fourth edition.
7. 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: Harper Collins.
8. SINGIRESU S. RAO 1995 Mechanical Vibrations. Reading, MA: Addison-Wesley; third edition.
9. 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.