Free vibration analysis of arches using curved beam elements

International Journal for Numerical Methods in Engineering

Volumn 58, Issue 13, 2003, Pages 1907-1936

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

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Arch (curved beam) element; Consistent mass matrix; Lumped mass matrix; Stiffness matrix; Straight beam element

Indexed keywords

CURVED BEAMS AND GIRDERS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; KINETIC ENERGY; MATRIX ALGEBRA; NATURAL FREQUENCIES; STIFFNESS MATRIX; VIBRATIONS (MECHANICAL);

ROTATIONAL DISPLACEMENTS; SHAPE FUNCTIONS;

ARCHES;

BEAM; VIBRATION;

EID: 0348044410     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.837     Document Type: Article

References (17)

1. Sabir AB, Ashwell DG. A comparison of curved beam finite elements when used in vibration problems. Journal of Sound and Vibration 1971; 18(4):555-563.
2. Ashwell DG, Sabir AB, Roberts TM. Further studies in the application of curved finite elements to circular arches. International Journal of Mechanical Sciences 1971; 13:507-517.
3. Lebeck AO, Knowlton JS. A finite element for the three-dimensional deformation of a circular ring. International Journal for Numerical Methods in Engineering 1985; 21:421-435.
4. Palaninathan R, Chandrasekharan PS. Curved beam element stiffness matrix formulation. Computers and Structures 1985; 21(4):663-669.
5. 0 formulation of curved, two-dimensional structural elements. International Journal for Numerical Methods in Engineering 1989; 28:145-154.
6. Ryu HS, Sin HC. Curved beam elements based on strained fields. Communications in Numerical Methods in Engineering 1996; 12:767-773.
7. Litewka P, Rakowski J. An efficient curved beam finite element. International Journal for Numerical Methods in Engineering 1997; 40:2629-2652.
8. Litewka P, Rakowski J. The exact thick arch finite element. Computers and Structures 1998; 68:369-379.
9. Petyt M, Fleischer CC. Free vibration of a curved beam. Journal of Sound and Vibration 1971; 18(1):17-30.
10. Yoo CH, Fehrenbach JP. Natural frequencies of curved girders. Journal of the Engineering Mechanics Division (ASCE) 1981; 107(EM2):339-354.
11. Litewka P, Rakowski J. Free vibrations of shear-flexible and compressible arches by FEM. International Journal for Numerical Methods in Engineering 2001; 52:273-286.
12. Chaudhuri SK, Shore S. Dynamic analysis of horizontally curved l-girder bridges. Journal of the Structural Division (ASCE) 1977; 103(ST8):1589-1604.
13. Chaudhuri SK, Shore S. Thin walled curved beam finite element. Journal of the Engineering Mechanics Division (ASCE) 1977; 103(EM5):921-937.
14. Yang YB, Wu CM, Yau JD. Dynamic response of a horizontally curved beam subjected to vertical and horizontal moving loads. Journal of Sound and Vibration 2001; 242(3):519-537.
15. Usami T, Koh SY. Large displacement theory of thin-walled curved members and its application to lateral-torsional bucking analysis of circular arches. International Journal of Solids and Structures 1980; 16:71-95.
16. Gu YT, Liu GR. A local point interpolation method (LPIM) for static and dynamic analysis of thin beams. Computer Methods in Applied Mechanics and Engineering 2001; 190:5515-5528.
17. Przemieniecki JS. Theory of Matrix Structural Analysis. McGraw-Hill: New York, 1968.