A new approach for free vibration analysis of arches with effects of shear deformation and rotary inertia considered

Journal of Sound and Vibration

Volumn 277, Issue 1-2, 2004, Pages 49-71

  Wu, Jong Shyong ^a   Chiang, Lieh Kwang ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; POLYNOMIALS; PROBLEM SOLVING; SHEAR DEFORMATION; STIFFNESS; VIBRATIONS (MECHANICAL);

ARCH ELEMENTS; EQUILIBRIUM CONSTANTS; FREE VIBRATION;

ARCHES;

EID: 4243160667     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.08.012     Document Type: Article

References (16)

1. Sabir A.B., Ashwell D.G. A comparison of curved beam finite elements when used in vibration problems. Journal of Sound and Vibration. 18(4):1971;555-563.
2. Ashwell D.G., Sabir A.B., Roberts T.M. Further studies in the application of curved finite elements to circular arches. International Journal of Mechanical Science. 13:1971;507-517.
3. Lebeck A.O., Knowlton J.S. A finite element for the three-dimensional deformation of a circular ring. International Journal for Numerical Methods in Engineering. 21:1985;421-435.
4. Palaninathan R., Chandrasekharan P.S. Curved beam element stiffness matrix formulation. Computers and Structures. 21(4):1985;663-669.
5. 0 formulation of curved, two-dimensional structural elements. International Journal for Numerical Methods in Engineering. 28:1989;145-154.
6. Ryu H.S., Sin H.C. Curved beam elements based on strained fields. Communications in Numerical Methods in Engineering. 12:1996;767-773.
7. Litewka P., Rakowski J. An efficient curved beam finite element. International Journal for Numerical Methods in Engineering. 40:1997;2629-2652.
8. Litewka P., Rakowski J. The exact thick arch finite element. Computers and Structures. 68:1998;369-379.
9. Petyt M., Fleischer C.C. Free vibration of a curved beam. Journal of Sound and Vibration. 18(1):1971;17-30.
10. Yoo C.H., Fehrenbach J.P. Natural frequencies of curved girders. Journal of the Engineering Mechanics Division, American Society of Civil Engineers. 107(EM2):1981;339-354.
11. Litewka P., Rakowski J. Free vibrations of shear-flexible and compressible arches by FEM. International Journal for Numerical Methods in Engineering. 52:2001;273-286.
12. S.K. Chaudhuri, S. Shore, Dynamic analysis of horizontally curved I-girder bridges, Journal of the Structural Division, American Society of Civil Engineers 103 (ST8) (1977) 1589-1604 (Proc. Paper 13121, August).
13. Chaudhuri S.K., Shore S. Thin walled curved beam finite element. Journal of the Engineering Mechanics Division, American Society of Civil Engineers. 103:1977;921-937.
14. Wu J.S., Chiang L.K. Free vibration analysis of arches using curved beam elements. International Journal for Numerical Methods in Engineering. 58(13):2003;1907-1936.
15. Rao S.S., Sundararajan V. In-plane flexural vibration of circular rings. Journal of Applied Mechanics, American Society Mechanical Engineers. 36:1969;620-625.
16. J.P. Den Hartog, Vibration of frames of electrical machines, Journal of Applied Mechanics, American Society of Mechanical Engineers 50 (1928) APM-50-6.