International Journal of Life Science and Engineering
Articles Information
International Journal of Life Science and Engineering, Vol.1, No.5, Nov. 2015, Pub. Date: Dec. 6, 2015
Higher Order Timoshenko Beam to Model Connections in Static Analysis
Pages: 212-220 Views: 1004 Downloads: 1153
[01] C. Azoury, Mechanical Engineering Department, Lebanese University, Beirut, Lebanon.
The paper presents the constructing of a new beam finite element that can give the same deformation as the three-dimensional finite model of connection elements. First, a 3-D model is constructed, meshed (using H8 elements), and analyzed, to obtain the displacements ux, uy, and uz. Then we construct the equivalent two-dimensional (plane stress condition), meshed using Q4 elements. At the final stage, the results of the deformation proposed by our new element for the corners are compared with the results of the 2-D model. We have obtained good agreement, as the new element is tested on several structures with several load types.
Structures, Finite Element Methods, High-Order Timoshenko Beam, Connection Element, Deep Beams, and Shear Locking
[01] Archer, J. (1965). Consistent matrix formulations for structural analysis using finite-element techniques. American Institute of Aeronautics and Astronautics Journal, 1910-1918.
[02] Astley, R. J. (1992). Finite Elements in Solids and Structures: An Introduction. Springer.
[03] Bang, H., & Kwon, Y. (2000). The Finite Element Method Using MATLAB. CRC Press.
[04] Cook, R. (2002). Concepts and applications of finite element analysis. Wiley.
[05] Cowper, G. (1966). The Shear Coefficient in Timoshenko’s Beam Theory. Journal of Applied Mechanics, 335-340.
[06] Dohrmann, C., Heinstein, M., & Key, S. (2000). A method for connecting dissimilar finite element meshes in two dimensions. International Journal For Numerical Methods In Engineering, 655-678.
[07] Heyliger, P., & Reddy, J. (1988). A higher order beam finite element for bending and vibration problems. Journal of Sound and Vibration, 309–326.
[08] Kattner, M., & Crisinel, M. (2000). Finite element modelling of semi-rigid composite joints. Computers and Structures, 341-353.
[09] Methods for connecting dissimilar three-dimensional finite element meshes. (2000). International Journal For Numerical Methods In Engineering, 1057-1080.
[10] Oñate, E. (2009). Structural Analysis with the Finite Element Method. Linear Statics: Volume 2 Beams, Plates and Shells. Spain: Springer.
[11] Przemieniecki, J. (1968). Theory of Matrix Structural Analysis. New York: McGraw-Hill.
[12] Subramanian, P. (2006). Dynamic analysis of laminated composite beams using higher order theories and finite elements. Composite Structures, 342–353.
[13] Thomas, D., Wilson, J., & Wilson, R. (1973). Timoshenko beam finite elements. Journal of Sound and Vibration, 315–330.
[14] Thomas, J., & Abbas, B. (1975). Finite element model for dynamic analysis of Timoshenko beam. Journal of Sound and Vibration, 291–299.
[15] Timoshenko, S. (1957). Elements of Strength of Materials. D. Van Nostrand Co.
[16] Zu-Qing, Q., & Wenjun, C. (2000). Dynamic condensation method for viscously damped vibration systems in engineering. Engineering Structures, 1426–1432.
MA 02210, USA
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.