ANALYSIS OF FREE AND FORCED VIBRATIONS PROBLEMS USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD BASED ON INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS

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HAMZEHEI JAVARAN S.; KHAJI N.

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Paper Information

Journal: JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL) Year:2013 | Volume:32 | Issue:1 Page(s): 51-64

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Title

ANALYSIS OF FREE AND FORCED VIBRATIONS PROBLEMS USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD BASED ON INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS

Author(s)

HAMZEHEI JAVARAN S. | KHAJI N. | Issue Writer Certificate

Keywords

INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONSQ2

PARTICULAR SOLUTIONSQ2

BOUNDARY ELEMENT METHODQ3

DUAL RECIPROCITY METHODQ2

2D ELASTODYNAMICSQ2

FREE AND FORCED VIBRATION ANALYSISQ2

Abstract

This paper presents a new boundary element formulation for FREE AND FORCED VIBRATION ANALYSIS of 2D elastic domains. The main idea of the present formulation is to approximate the inertia terms using the INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS (IMQ RBFs). The DUAL RECIPROCITY METHOD (DRM) with the static-type fundamental solution is reconsidered by using the proposed RBFs. The fictitious particular solution kernels of inverse multiquadric RBFs corresponding to displacement and traction, a few terms of which are singular, are explicitly derived. Therefore, a simple mathematical trick is employed to resolve the singularity problem. In addition, the limiting values of the particular solution kernels are evaluated. Several examples are studied to demonstrate the validity and the accuracy of the proposed formulation. The results are compared to the obtained analytical and other RBFs available in the literature.

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APA: Copy

HAMZEHEI JAVARAN, S., & KHAJI, N.. (2013). ANALYSIS OF FREE AND FORCED VIBRATIONS PROBLEMS USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD BASED ON INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), 32(1), 51-64. SID. https://sid.ir/paper/173694/en

Vancouver: Copy

HAMZEHEI JAVARAN S., KHAJI N.. ANALYSIS OF FREE AND FORCED VIBRATIONS PROBLEMS USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD BASED ON INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL)[Internet]. 2013;32(1):51-64. Available from: https://sid.ir/paper/173694/en

IEEE: Copy

S. HAMZEHEI JAVARAN, and N. KHAJI, “ANALYSIS OF FREE AND FORCED VIBRATIONS PROBLEMS USING THE DUAL RECIPROCITY BOUNDARY ELEMENT METHOD BASED ON INVERSE MULTIQUADRIC RADIAL BASIS FUNCTIONS,” JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), vol. 32, no. 1, pp. 51–64, 2013, [Online]. Available: https://sid.ir/paper/173694/en

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