Free vibration analysis of cantilevered tall structures under various axial loads

Engineering Structures

Volumn 22, Issue 5, 2000, Pages 525-534

  Li, Q S ^a   Fang, J Q ^a   Jeary, A P ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Axial loads; Cantilevered tall structures; Mode shapes; Natural frequencies; Tall buildings; Vibration

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMIC LOADS; EARTHQUAKE RESISTANCE; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; STIFFNESS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL);

AXIAL LOADS; CANTILEVERED TALL STRUCTURES;

TALL BUILDINGS;

EID: 0033904682     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0141-0296(98)00124-2     Document Type: Article

References (14)

1. Li Q.S., Cao H., Li G. Analysis of free vibrations of tall buildings. ASCE, Journal of Engineering Mechanics. 120(9):1994;1861-1876.
2. Li Q.S., Fang J.Q., Jeary A.P. Free longitudinal vibrations of tall buildings and high-rise structures. Journal of the Structural Design of Tall Buildings. 7(1):1998;1-10.
3. Wang GY. Vibration of building and structures. Beijing: Science and Technology Press, 1978:168-78.
4. Li Q.S. Calculation of free vibration of high-rise structures. Journal of Asian Structural Engineering. 1(1):1995;17-25.
5. Tomoshenko SP, Young DH, Weaver W. Vibration problems in engineering. New York: John Wiley, 4th edition, 1974:453-5.
6. Gorman DJ. Free vibration analysis of beams and shafts. New York: John Wiley, 1975:359-81.
7. Blevin RD. Formulas for natural frequencies and mode shapes. New York: Van Nostrand Reinhold, 1979:101-13.
8. Bokaian A. Natural frequencies of beams under compressive axial loads. Journal of Sound and Vibration. 126(1):1988;49-65.
9. Clough RW, Penzien J. Dynamics of structures. New York: McGraw-Hill Book Company, 1975:182-3.
10. Bolton A. Structural dynamics in practice. New York: McGraw-Hill Book Company, 1994:162-85.
11. Filipich C.P., Laura P.A.A., Sonemblum M., Gil E. Transverse vibrations of a stepped beam subjected to an axial force and embedded in an non-homogeneous Winkler foundation. Journal of Sound and Vibration. 126:1988;1-8.
12. Tuma JJ, Cheng FY. Dynamic structural analysis, New York: McGraw-Hill Book Company, 1983.
13. Li Q.S., Cao H., Li G. Static and dynamic analysis of straight bars with variable cross-section. International Journal of Computers and Structures. 59(6):1996;1185-1191.
14. Sato H. Free vibration of beams with abrupt changes of cross-section. Journal of Sound and Vibration. 89(1):1983;59-64.