In-plane vibration of circular arches with variable cross-sections

Journal of Sound and Vibration

Volumn 212, Issue 1, 1998, Pages 121-140

  Tong, X ^a   Mrad, N ^a   Tabarrok, B ^b  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003117436     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1441     Document Type: Article

References (16)

1. J. HENRYCH 1981 Dynamics of Arches and Frames. Amsterdam: Elsevier.
2. P. A. A. LAURA and M. J. MAURIZI 1987 The Shock and Vibration Digest 19, 6-9. Recent researches on vibrations of arch-type structures.
3. N. M. AUCIELLO and M. A. DE ROSA 1994 Journal of Sound and Vibration 176, 433-458. Free vibrations of circular arches: a review.
4. Y. WASSERMAN 1977 Journal of Sound and Vibration 54, 515-526. The influence of the behavior of the load of the frequencies and critical loads of arches with flexibly supported ends.
5. D. J. DAWE 1974 Computer and Structures 4, 559-580. Curved finite elements for the analysis of shallows and deep arches.
6. T. S. BALASUBRAMANIAN and G. PRATHAP 1989 Computers and Structures 33, 281-288. A field consistency higher-order curved beam element for static and dynamic analysis of stepped arches.
7. V. H. CORTINEZ, P. A. A. LAURA, C. P. FILIPICH and R. CARNICER 1986 Journal of Sound and Vibration 110, 356-358. Numerical experiments on vibrating cantilever arches of varying cross-section.
8. P. A. A. LAURA and P. L. VERNIERE DE IRASSAR 1988 Journal of Sound and Vibration 124, 1-12. A note on in-plane vibrations of arch-type structures of non-uniform cross-section: the case of linearly varying thickness.
9. P. A. A. LAURA, P. L. VERNIERE DE IRASSAR, R. CARNICER and R. BERTERIO 1988 Journal of Sound and Vibration 120, 95-105. A note on vibrations of a circumferential arch with thickness varying in a discontinuous fasion.
10. R. H. GUTIERREZ, P. A. A. LAURA, R. E. ROSSI, R. BERTERO and A. VILLAGGI 1989 Journal of Sound and Vibration 129, 181-200. In-plane vibrations of non-circular arcs of non-uniform cross-section.
11. P. A. A. LAURA and R. E. ROSSI 1996 Institute of Applied Mechanics (Bahia Blanca, Argentina) Publication IMA No. 96-5 (Monograph). Dynamic stiffening of structural elements.
12. A. RAITHEL and C. FRANCIOSI 1984 American Society of Civil Engineers, Journal of Structural Engineering 100, 847-858. Dynamics analysis of arches using Lagrangian approach.
13. Y. HUANG 1987-88 Mechanics of Structures and Machines 15, 463-479. A new matrix method for solving buckling and free vibration problems of circular arches with variable rigidity.
14. K. Y. YEH 1979 Journal of Lanzhou University, Special Number of Mechanics 1, 133-157. General solutions on certain problems of elasticity with nonhomogeneity and variable cross thickness, Part IV: bending, buckling, and free vibration of nonhomogeneous variable thickness beams.
15. K. Y. YEH, X. TONG and Z. Y. JI 1992 Applied Mathematics and Mechanics 13, 779-791. General analytic solution of dynamic response of beam with nonhomogeneity and variable cross-section.
16. X. TONG, B. TABARROK and K. Y. YEH 1995 Journal of Sound and Vibration 186, 821-835. Vibration analysis of Timoshenko beams with nonhomogeneity and varying cross-sections.