A NEW NONREFLECTING OPEN BOUNDARY CONDITION FOR CIRCULAR CAVITIES IN UNBOUNDED DOMAIN

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Mirzajani Mohsen; KHAJI NASER

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Seminar Paper

Paper Information

Seminar: NATIONAL CONGRESS ON CIVIL ENGINEERING
Year:2016 | Issue:9

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Title

A NEW NONREFLECTING OPEN BOUNDARY CONDITION FOR CIRCULAR CAVITIES IN UNBOUNDED DOMAIN

Author(s)

Mirzajani Mohsen | KHAJI NASER

Keywords

SEMI-ANALYTICAL METHOD

OPEN NONREFLECTING BOUNDARY CONDITION

CHEBYSHEV POLYNOMIAL

SUB-PARAMETRIC ELEMENTS

Abstract

IN THIS PAPER, A NEW NON-REFLECTING OPEN BOUNDARY CONDITION IS INTRODUCED IN ORDER TO SOLVE CIRCULAR CAVITY PROBLEMS. IN THIS REGARD, A NEW SEMI-ANALYTICAL METHOD IS USED TO DIAGONALIZE THE COEFFICIENT MATRICES OF GOVERNING DIFFERENTIAL EQUATION. THIS METHOD USES FOUR TOOLS IN ORDER TO DIAGONALIZE THE COEFFICIENT MATRICES IN WHICH THEY ARE: HIGHER-ORDER SUB-PARAMETRIC ELEMENTS, HIGHER-ORDER CHEBYSHEV MAPPING FUNCTIONS, WEIGHTED RESIDUAL METHOD AND CLENSHAW-CURTIS QUADRATURE. THIS METHOD IS DEVELOPED TO DIAGONALIZE THE DYNAMIC STIFFNESS MATRIX. TO THIS AIM, THE SUBSTRUCTURE METHOD IS USED. TWO FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS (I.E. INTERACTION FORCE-DISPLACEMENT RELATIONSHIP AND GOVERNING DIFFERENTIAL EQUATION IN DYNAMIC STIFFNESS) ARE SOLVED TO SATISFY THE RADIATION CONDITION AT INFINITY AND BOUNDARY CONDITION OF SOIL-STRUCTURE INTERFACE. THE INTERACTION FORCE-DISPLACEMENT RELATIONSHIP IS CONSIDERED AS A NONREFLECTING OPEN BOUNDARY CONDITION FOR THE BOUNDED MEDIUM SUBSTRUCTURE. TWO CAVITIES EMBEDDED IN A FULL-PLANE ARE CONSIDERED AS BENCHMARK EXAMPLES AND THE RESULTS ARE COMPARED WITH ANALYTICAL SOLUTIONS.

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APA: Copy

Mirzajani, Mohsen, & KHAJI, NASER. (2016). A NEW NONREFLECTING OPEN BOUNDARY CONDITION FOR CIRCULAR CAVITIES IN UNBOUNDED DOMAIN. NATIONAL CONGRESS ON CIVIL ENGINEERING. SID. https://sid.ir/paper/943357/en

Vancouver: Copy

Mirzajani Mohsen, KHAJI NASER. A NEW NONREFLECTING OPEN BOUNDARY CONDITION FOR CIRCULAR CAVITIES IN UNBOUNDED DOMAIN. 2016. Available from: https://sid.ir/paper/943357/en

IEEE: Copy

Mohsen Mirzajani, and NASER KHAJI, “A NEW NONREFLECTING OPEN BOUNDARY CONDITION FOR CIRCULAR CAVITIES IN UNBOUNDED DOMAIN,” presented at the NATIONAL CONGRESS ON CIVIL ENGINEERING. 2016, [Online]. Available: https://sid.ir/paper/943357/en

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