All Issue

2021 Vol.41, Issue 3

Structural Engineering

June 2021. pp. 191-200
Abstract
References
1
Borg, S. F. and Gennaro, J. J. (1959). Advanced structural analysis, Van Nostrand Reinhold Company, N.Y., USA.
2
Bozyigit, B., Yesilce, Y. and Acikgoz, S. (2020). "Free vibration analysis of arch-frames using the dynamic stiffness approach." Vibroengineering PROCEDIA, JVE, Vol. 30, pp. 72-78. 10.21595/vp.2020.21291
3
Burden, R. L., Faires, D. J. and Burden, A. M. (2016). Numerical analysis, Cengage Learning, MA, USA.
4
Filipich, C. P., Canicer, R., Cortinez, V. H. and Laura, P. A. A. (1987). "In-plane vibrations of a circumferential arch elastically restrained against rotation at one end and with an intermediate support." Applied Acoustics, Vol. 22, No. 4, pp. 261-270. 10.1016/0003-682X(87)90043-0
5
Huang, C. S., Tseng, Y. P., Leissa, A. W. and Nieh, K. Y. (1990). "An exact solution for in-plane vibrations of an arch having variable curvature and cross section." International Journal of Mechanical Sciences, Vol. 40, No. 11, pp. 1159-1173. 10.1016/S0020-7403(98)00020-4
6
Joo, S. M., Park, K. K., Lee, B. K. and Hwang, H. J. (1985). "Free vibration analysis of fixed ended parabolic arches." Journal of the Korean Society of Civil Engineers, KSCE, Vol. 5, No. 3, pp. 31-38 (in Korean).
7
Lee, B. K. and Wilson, J. F. (1990). "Free vibrations of arches with variable curvature." Journal of Sound and Vibration, Vol. 136, No. 1, pp. 75-89. 10.1016/0022-460X(90)90939-W
8
Lee, B. K., Oh, S. J. and Lee, T. E. (2014). "In-plane free vibrations of horseshoe circular arch." Journal of the Korean Society of Civil Engineers, KSCE, Vol. 34, No. 4, pp. 1043-1052 (in Korean). 10.12652/Ksce.2014.34.4.1043
9
Lee, B. K., Park, K. K., Oh, S. J. and Lee, T. E. (2016). "Planar free vibrations of horseshoe elliptic arch." KSCE Journal of Civil Engineering, KSCE, Vol. 20, No. 4, pp. 1411-1418. 10.1007/s12205-015-0582-y
10
Lee, J. K. and Lee, B. K. (2020). "Free vibrations of AFG arch with symmetric and anti-symmetric boundary conditions at Mid-arc." Symmetry, Vol. 12, No. 3, 417. 10.3390/sym12030417
11
Li, X. F. (2008). "A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Bernoulli- Euler beam." Journal of Sound and Vibration, Vol. 318, No. 4-5, pp. 1210-1229. 10.1016/j.jsv.2008.04.056
12
Lü, Q. and Lü, C. F. (2009). "Exact two-dimensional solutions for in-plane natural frequencies of laminated circular arches." Journal of Sound and Vibrations, Vol. 318, No. 4-5, pp. 982-920. 10.1016/j.jsv.2008.05.011
13
Malekzadeh, P., Setoodeh, A. R. and Barmshouri, E. (2008). "A hybrid layerwise and differential quadrature method for in-plane free vibration of laminated thick circular arches." Journal of Sound and Vibration, Vol. 315, No. 1-2, pp. 212-225. 10.1016/j.jsv.2008.02.005
14
Nieh, K. Y., Huang, C. S. and Tseng, Y. P. (2003). "An analytical solution for in-plane free vibration and stability of loaded elliptic arches." Computers & Structures, Vol. 81, No. 13, pp. 1311-1327. 10.1016/S0045-7949(03)00057-9
15
Rao, S. S. (2007). Vibration of continuous system, John Wiley & Sons, Inc., NJ, USA.
16
Rezaiee-Pajand, M., Sani, A. A. and Kazemiyan, M. S. (2018). "Free vibration analysis of concrete arch dam by quadratic ideal-coupled method." Structures Engineering and Mechanics, Vol. 65. No. 1, pp. 69-79.
17
Riedel, C. H. and Kang, B. S. (2006). "Free vibration of elastically coupled dual-span curved beams." Journal of Sound and Vibration, Vol. 290, No. 3-5, pp. 820-838. 10.1016/j.jsv.2005.04.016
18
Ruta, P. and Meissner, M. (2018). "Analysis of the spatial vibrating of nonprismatic arches by means of recurrence relations for the coefficients of the Chebyshev series expression of solutions." Mechanical Problems in Engineering, Vol. 2018, 1512825. 10.1155/2018/1512825
19
Shin, Y. J., Kwon, K. M. and Yun, J. H. (2008). "Vibration analysis of a circular arch with variable cross-section using differential transformation and generalized differential quadrature." Journal of Sound and Vibration, Vol. 309, No. 1-2, pp. 9-19. 10.1016/j.jsv.2006.08.020
20
Tufekci, E. and Ozdemir, O. (2006). "Exact solution of free in- plane vibration of a stepped circular arch." Journal of Sound and Vibration, Vol. 295, No. 3-5, pp. 725-738. 10.1016/j.jsv.2006.01.048
21
Weaver, W., Timoshenko, S. P. and Young, D. H. (1990). Vibration problems in engineering, John Wiley & Sons, Inc., NJ, USA.
22
Wilson, J. F. and Lee, B. K. (1995). "In-plane free vibrations of catenary arches with unsymmetric axes." Structural Engineering and Mechanics, Vol. 3, No. 3, pp. 511-525. 10.12989/sem.1995.3.5.511
23
Wu, J. S. and Chiang, L. K. (2004). "A new approach for free vibration analysis of arches with effects of shear deformation and rotary inertia considered." Journal of Sound and Vibration, Vol. 277, No. 1-2, pp. 49-71. 10.1016/j.jsv.2003.08.012
24
Wung, S. J. (1967). Vibration of hinged circular arches, Master's Thesis, Rice University, Houston, Texas, USA.
Information
  • Publisher :Korean Society of Civil Engineers
  • Publisher(Ko) :대한토목학회
  • Journal Title :KSCE JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING RESEARCH
  • Journal Title(Ko) :대한토목학회 논문집
  • Volume : 41
  • No :3
  • Pages :191-200
  • Received Date :2020. 07. 07
  • Revised Date :2020. 08. 08
  • Accepted Date : 2020. 08. 15