Affiliation:
1. Department of Mechanical Engineering , Sirjan University of Technology , Sirjan, IRAN. P.O.B. 7816418097 Sirjan , Iran
Abstract
Abstract
The deflection analysis of beams has been recently an active area of research. The large deflection of beams refers to deflections occurring due to large displacements and small strains. This type of deflection has been one of the areas of interest in the development of beam deformation methods. The wide diversity of beam deformation methods highlights the importance of their comparison to further elucidate the properties and features of each method and determine their benefits and limitations. In this study, a new comparison model is introduced which involves three steps, instead of only comparing final results for verification in common studies. In the first step, a complete comparison is made based on the assumptions and approximations of each method of the kinematics of deformation, displacement, and strain fields. After selecting the most accurate method in the first step, the displacement functions are determined by polynomial approximation under different loading and support conditions based on the selected method. In the third step, the displacement functions are used to calculate the strains in each method. The conclusion is based on comparing the strains. This comparative model can be used as a benchmark to compare different theories of deformation analysis.
Reference33 articles.
1. [1] Ohtsuki A. (1986): An analysis of large deflection in a symmetrical three-point bending of the beam.– Bulletin of JSME, vol.29, No.253, pp.1988-1995, DOI.org/10.1299/jsme1958.29.1988.
2. [2] Beléndez T., Neipp C. and Beléndez A. (2003): Numerical and experimental analysis of a cantilever beam: a laboratory project to introduce geometric nonlinearity in mechanics of materials.– Int. J. Eng. Educ., vol.19, No.6, pp.885-892.
3. [3] Nanakorn P. and Vu L. (2006): A 2D field-consistent beam element for large displacement analysis using the total Lagrangian formulation.– Finite Elem. Anal. Des., vol.42, No.14, pp.1240-1247, DOI.org/10.1016/j.finel.2006.06.002.10.1016/j.finel.2006.06.002
4. [4] Xiao Y. (2011): Large deflection of cantilever beam with uniformly distributed load using homotopy analysis method.– Adv. Mat. Res., Trans. Tech. Publ. Ltd., vol.250, pp.1222-1225, DOI.org/10.4028/www.scientific.net/AMR.250-253.1222.10.4028/www.scientific.net/AMR.250-253.1222
5. [5] Mohyeddin A. and Fereidoon A. (2014): An analytical solution for the large deflection problem of Timoshenko beams under three-point bending.– Int. J. Mech. Sci., vol.78, pp.135-139, DOI.org/10.1016/j.ijmecsci.2013.11.005.10.1016/j.ijmecsci.2013.11.005
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