CHEN Denghong. APPLICATION OF A HIGH-ORDER TRANSMITTING BOUNDARY BASED ON THE SCALED BOUNDARY FINITE ELEMENT METHOD[J]. MECHANICS IN ENGINEERING, 2013, 35(3): 66-71. DOI: 10.6052/1000-0879-13-012
Citation: CHEN Denghong. APPLICATION OF A HIGH-ORDER TRANSMITTING BOUNDARY BASED ON THE SCALED BOUNDARY FINITE ELEMENT METHOD[J]. MECHANICS IN ENGINEERING, 2013, 35(3): 66-71. DOI: 10.6052/1000-0879-13-012

APPLICATION OF A HIGH-ORDER TRANSMITTING BOUNDARY BASED ON THE SCALED BOUNDARY FINITE ELEMENT METHOD

  • For an unbounded domain, a local high-order transmitting boundary is implemented based on the scaled boundary finite element method and the continued-fraction expansion. An improved continued-fraction expansion is employed to solve the dynamic stiffness matrix equation of an unbounded domain. Compared to the previous approach, it is numerically more robust for large-scale systems and arbitrarily high orders of expansion. The equation of this boundary is a system of first-order ordinary differential equations in the time domain. The stability of the high-order boundary depends on the general eigenproblem of the coefficient matrices. Possible spurious modes can be eliminated using the spectral shifting technique. The accuracy and the robustness of the high-order transmitting boundary are verified by two numerical examples.
  • loading

Catalog

    Turn off MathJax
    Article Contents

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return