The Bending of Set Square under Uniform Loads

Abstract:

The triangular plate has widely application in the manipulation of the pr angular plate will often have error. In the former solutions, it is very hard to find one kind of simple and common way to solve the equation of deflection curve of the triangular plate. Under uniform load function, this paper uses the reciprocal theorem method to discuss the bending question of triangular plate with the unfixed hypotenuse and fixed side as well as the other side with simple supported, and the unfixed hypotenuse as well as two fixed sides. Thus the method has overcome complicated calculating process appeared in the classical theory, solved the limitations with difficulties to certain questions and established new way to solved the bending question of triangular plate. In the process of calculating, it will take specific proportion, applying the mixed variables method, carrying the calculation on the Matlab platform, and comparing it with the ANSYS finite element analysis result, to prove the result is correct. Thus the paper gives the equation of deflection curve and the graphs which can be employed in the actual project application. Therefore, the paper has certain theoretical value and project significance.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 682-685
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.682
• Online since: May 2011
• Authors: Ying Jie Chen, Bao Lian Fu, Gang Li, Zhen Xian Zhang, Lu Liang Wang, Jie Wu
• Keywords: Equation of Deflection Curve, Graph, Reciprocal Theorem Method, Triangular Plate, Uniform Loads

References

[1] Baolian Fu, Elastic mechanics of energy principle and its application. Beijing. Science press.2004.

[2] Baolian Fu, Applications of reciprocal theorem to solving the equations of deflection surface of rectangular plates with various edge conditions, Appl.Math.and Mech.,3(1982) pp.353-364.

DOI: 10.1007/bf01897218

[3] Yingjie Chen, Forced vibration trilateral fixed side and one side free plate under the action of centralized harmonic bearing. Power and control journal. 2005.

[4] Xiong Liu, Bin Liang, Huanran Yu. The bending of isosceles triangle plate. Science journal of Gansu. 2001.

[5] Xiang liu,Xiguang Cui,Shuani Wang, Comparison of solution of deflection uniform distributed loads rectangular plate

[6] Timoshenko S.et al. Theory of Plates and Shells. MCGRAW-HILL BOOK Company Inc. New York.1959.