• a new nonreflecting open boundary condition for circular cavities in unbounded domain

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1395/01/01
    • تاریخ انتشار در تی پی بین: 1395/01/01
    • تعداد بازدید: 558
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     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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