COMPARISON OF ISGEOMETRIC ANALYSIS AND FINITE ELEMENTS IN DYNAMIC ANALYSIS OF 2D ELASTICITY PROBLEMS

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HASSANI B.; ZHIANI E.; HASSANZADEH A.; ZARIF MOGHADAM N.

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Journal: Ferdowsi Civil Engineering Year:2013 | Volume:24 | Issue:1 Page(s): 1-14

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Title

COMPARISON OF ISGEOMETRIC ANALYSIS AND FINITE ELEMENTS IN DYNAMIC ANALYSIS OF 2D ELASTICITY PROBLEMS

Author(s)

HASSANI B. | ZHIANI E. | HASSANZADEH A. | ZARIF MOGHADAM N. | Issue Writer Certificate

Keywords

IS GEOMETRICQ2

TRANSIENT DYNAMIC ANALYSISQ2

SPLINESQ2

CONSISTENT AND LUMPED MASS MATRICESQ2

Abstract

Dynamic analysis of two-dimensional elasticity problems using the Isgeometric analysis method and its comparison with the finite element method is the subject of this research. For this purpose, formulation of the governing differential equation is obtained by using the B-spline basis functions. Some numerical examples employing CONSISTENT AND LUMPED MASS MATRICES are presented in order to compare the results of IS GEOMETRIC analysis and finite elements. The effect of increasing the number of control points and the degree of B-spline basis functions on the accuracy of the solution are also investigated. Furthermore, since the Newmark method is employed for TRANSIENT DYNAMIC ANALYSIS, the effects of parameters and on the solution accuracy are investigated. The obtained results demonstrate higher accuracy of the IS GEOMETRIC analysis method in comparison with the FEM, despite employing fewer numbers of degrees of freedom and consequently reduction in the dimensions of system of equations and computational effort.

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APA: Copy

HASSANI, B., ZHIANI, E., HASSANZADEH, A., & ZARIF MOGHADAM, N.. (2013). COMPARISON OF ISGEOMETRIC ANALYSIS AND FINITE ELEMENTS IN DYNAMIC ANALYSIS OF 2D ELASTICITY PROBLEMS. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), 24(1), 1-14. SID. https://sid.ir/paper/195857/en

Vancouver: Copy

HASSANI B., ZHIANI E., HASSANZADEH A., ZARIF MOGHADAM N.. COMPARISON OF ISGEOMETRIC ANALYSIS AND FINITE ELEMENTS IN DYNAMIC ANALYSIS OF 2D ELASTICITY PROBLEMS. JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING)[Internet]. 2013;24(1):1-14. Available from: https://sid.ir/paper/195857/en

IEEE: Copy

B. HASSANI, E. ZHIANI, A. HASSANZADEH, and N. ZARIF MOGHADAM, “COMPARISON OF ISGEOMETRIC ANALYSIS AND FINITE ELEMENTS IN DYNAMIC ANALYSIS OF 2D ELASTICITY PROBLEMS,” JOURNAL OF CIVIL ENGINEERING (JOURNAL OF SCHOOL OF ENGINEERING), vol. 24, no. 1, pp. 1–14, 2013, [Online]. Available: https://sid.ir/paper/195857/en

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