The Effect of Equilibrium Equation and Trefftz Functions on the Responses of Quadrilateral Bending Plate

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REZAIEE PAJAND M.; Malekzadeh Gonabadi m.; Rajabzadeh Safaei n.

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Journal Paper

Paper Information

Journal: Journal of Applied and Computational Sciences in Mechanics Year:2018 | Volume:29 | Issue:2 (18) Page(s): 99-117

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Title

The Effect of Equilibrium Equation and Trefftz Functions on the Responses of Quadrilateral Bending Plate

Author(s)

REZAIEE PAJAND M. | Malekzadeh Gonabadi m. | Rajabzadeh Safaei n. | Issue Writer Certificate

Keywords

Thin bending plateQ1

equilibrium equationQ1

analytical solutionQ2

Trefftz functionQ1

quadrilateral bending elementQ1

incomplete interpolation functionQ1

Abstract

In this study, ten novel quadrilateral Kirchhoff’ s bending plate elements based on the Trefftz displacement functions and satisfying equilibrium equation are suggested. First, the most suitable arrangement of degrees of freedom and nodes are achieved by benefiting from previous researches. Afterwards, using the symmetry of terms, ten elements with different interpolation functions for the two top arrangements will be introduced. Numerical tests reveal that the correct choice of the interpolation’ s terms from the incomplete Trefftz functions leads to more efficient elements with lower degrees of freedom and higher order than the complete elements. Since the Trefftz functions meet the equilibrium conditions, the force responses of the most cases have a higher accuracy than the displacement responses.

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APA: Copy

REZAIEE PAJAND, M., Malekzadeh Gonabadi, m., & Rajabzadeh Safaei, n.. (2018). The Effect of Equilibrium Equation and Trefftz Functions on the Responses of Quadrilateral Bending Plate. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), 29(2 (18) ), 99-117. SID. https://sid.ir/paper/196273/en

Vancouver: Copy

REZAIEE PAJAND M., Malekzadeh Gonabadi m., Rajabzadeh Safaei n.. The Effect of Equilibrium Equation and Trefftz Functions on the Responses of Quadrilateral Bending Plate. JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2018;29(2 (18) ):99-117. Available from: https://sid.ir/paper/196273/en

IEEE: Copy

M. REZAIEE PAJAND, m. Malekzadeh Gonabadi, and n. Rajabzadeh Safaei, “The Effect of Equilibrium Equation and Trefftz Functions on the Responses of Quadrilateral Bending Plate,” JOURNAL OF APPLIED AND COMPUTATIONAL SCIENCES IN MECHANICS (JOURNAL OF SCHOOL OF ENGINEERING), vol. 29, no. 2 (18) , pp. 99–117, 2018, [Online]. Available: https://sid.ir/paper/196273/en

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