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Information Journal Paper

Title

FORMULATION OF BEAM ELEMENT FOR WAVELET-BASED FINITE ELEMENT METHOD

Pages

  611-622

Abstract

 Wavelet Analysis has called the attentions in numerical solutions of PDEs in recent years. Because of orthogonality and compact support of DAUBECHIES SCALING FUNCTIONS, these functions have excellent ability of providing good accuracy and convergence for the approximation of the solution in singularities. In this article the method of using these functions for numerical solving of PDE for Euler–Bernoulli beams is formulated. This procedure needs to calculate derivatives and integrals of scaling functions as the shape functions of wavelet-based finite element method. Because of non-explicit formulation and high oscillation of these functions, conventional methods -like Gauss method for integration- are not suitable and accurate. Thus some special methods are formulated for these requirements. The ability and high accuracy of wavelet-based beam element for different boundary conditions and loads is shown in some examples.

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  • Cite

    APA: Copy

    NARAGHI, S.E., & NOORZAD, A.. (2012). FORMULATION OF BEAM ELEMENT FOR WAVELET-BASED FINITE ELEMENT METHOD. CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING), 45(5), 611-622. SID. https://sid.ir/paper/166524/en

    Vancouver: Copy

    NARAGHI S.E., NOORZAD A.. FORMULATION OF BEAM ELEMENT FOR WAVELET-BASED FINITE ELEMENT METHOD. CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING)[Internet]. 2012;45(5):611-622. Available from: https://sid.ir/paper/166524/en

    IEEE: Copy

    S.E. NARAGHI, and A. NOORZAD, “FORMULATION OF BEAM ELEMENT FOR WAVELET-BASED FINITE ELEMENT METHOD,” CIVIL ENGINEERING INFRASTRUCTURES JOURNAL (CEIJ) (JOURNAL OF FACULTY OF ENGINEERING), vol. 45, no. 5, pp. 611–622, 2012, [Online]. Available: https://sid.ir/paper/166524/en

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