Static Analysis of Curved Beams with Clamped-Clamped Ends under Thermo Load

Article Preview

Abstract:

Based on the principle of thermal expansion and theory of virtual work, a class of equations for in-plane displacements at three freedom direction and internal forces in the cross-section of statically indeterminate curved beams under thermo load are derived explicitly. In the case of infinite limit of radius, these equations coincide with that of the straight beams. Compared with the results of FEM, the analytical solutions by the proposed formulae are accurate. The analytical solutions obtained in this paper would provide a scientific base for further study and design of the curved bridges.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1543-1546

Citation:

Online since:

October 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Wu, Jong-Shyong & Chiang, Lieh-Kwang. Out-of-plane responses of a circular curved Timoshenko beam due to a moving load. Int. J.Solids. Struct. 40: 7425-7448. (2003).

DOI: 10.1016/j.ijsolstr.2003.07.004

Google Scholar

[2] Howson, W.P. & Jemah, A.K. Exact out-of-plane natural frequencies of curved Timoshenko beams. J. Eng. Mech. 125: 19-25. (1999).

DOI: 10.1061/(asce)0733-9399(1999)125:1(19)

Google Scholar

[3] Gendy. A.S. & Saleeb, A.F. On the finite element analysis of the spatial response of curved beams with arbitrary thin-walled sections. Comput. Struct. 44: 639-652. (1992).

DOI: 10.1016/0045-7949(92)90396-h

Google Scholar

[4] Kim, Nam-II & Kim, Moon-Young. Exact dynamic stiffness matrix of non-symmetric thin-walled curved beams subjected to initial axial force. J. Sound. Vib. 284: 851-878. (2005).

DOI: 10.1016/j.jsv.2004.07.006

Google Scholar

[5] Senthilvasan, J. Thambiratnam, D.P. & Brameld, G.H. Dynamic response of a curved bridge under moving truck load. Eng. Struct. 24: 1283-1293. (2002).

DOI: 10.1016/s0141-0296(02)00059-7

Google Scholar

[6] Maneetes, H. & Linzell, D.G. Cross-frame and lateral bracing influence on curved steel bridge free vibration response. J. Constr. Steel. Res. 59: 1101-1117. (2003).

DOI: 10.1016/s0143-974x(03)00032-4

Google Scholar

[7] Ribeiro, Pedro & Manoach, Emil. The effect of temperature on the large amplitude vibrations of curved beams. J. Sound. Vib. 285: 1093-1107. (2005).

DOI: 10.1016/j.jsv.2004.09.010

Google Scholar

[8] Padovani, Cristina Pasquinelli, Giuseppe & Zani. Nicola. A numerical method for solving equilibrium problems of no-tension solids subjected to thermal loads. Comput. Method. Appl. M. 190: 55-73. (2000).

DOI: 10.1016/s0045-7825(99)00346-1

Google Scholar