应用 NURBS,讨论了根据给定的(N-1)条边界曲线及其跨界导矢构造 N 边域曲面的方法,由参数域Ω中任一点 V 到边 E的距离 d 构造曲面的混合函数,再由 B 样条曲线的边界曲线和其跨界导矢可得插值于其上的映射 P,这样由混合函数和给定条件...应用 NURBS,讨论了根据给定的(N-1)条边界曲线及其跨界导矢构造 N 边域曲面的方法,由参数域Ω中任一点 V 到边 E的距离 d 构造曲面的混合函数,再由 B 样条曲线的边界曲线和其跨界导矢可得插值于其上的映射 P,这样由混合函数和给定条件的映射可生成一张整体几乎处处 G^1连续并且几乎处处 C^1值于给定的(n-1)条边界曲线及其跨界导矢的 N 边域 NURBS 曲面。展开更多
In this study,the wave motion in elastodynamics for unbounded media is modeled using an unsplit-field perfectly matched layer(PML)formulation that is solved by employing an isogeometric analysis(IGA).In the adopted co...In this study,the wave motion in elastodynamics for unbounded media is modeled using an unsplit-field perfectly matched layer(PML)formulation that is solved by employing an isogeometric analysis(IGA).In the adopted combination,the non-uniform rational B-spline(NURBS)functions are employed as basis functions.Moreover,the unbounded and artificial domains,defined in the PML method,are contained in a single patch domain.Based on the proposed scheme,the approximation of the geometry problem is set in a new scheme in which the PML’s absorbing and attenuation properties and the description of traveling waves can be represented.This includes a higher continuity and smoother approximation of the computed domain.As high-order NURBS basis functions are non-interpolatory,a penalty method is present to apply a time-dependent displacement load.The performance of the NURBS-based PML is analyzed through numerical examples for 1D and 2D domains,considering homogeneous and heterogeneous media.Further,we verify the long-time numerical stability of the present method.The developed method can be used to simulate hypothetical stratified domains commonly encountered in soil-structure interaction analyses.展开更多
文摘应用 NURBS,讨论了根据给定的(N-1)条边界曲线及其跨界导矢构造 N 边域曲面的方法,由参数域Ω中任一点 V 到边 E的距离 d 构造曲面的混合函数,再由 B 样条曲线的边界曲线和其跨界导矢可得插值于其上的映射 P,这样由混合函数和给定条件的映射可生成一张整体几乎处处 G^1连续并且几乎处处 C^1值于给定的(n-1)条边界曲线及其跨界导矢的 N 边域 NURBS 曲面。
文摘In this study,the wave motion in elastodynamics for unbounded media is modeled using an unsplit-field perfectly matched layer(PML)formulation that is solved by employing an isogeometric analysis(IGA).In the adopted combination,the non-uniform rational B-spline(NURBS)functions are employed as basis functions.Moreover,the unbounded and artificial domains,defined in the PML method,are contained in a single patch domain.Based on the proposed scheme,the approximation of the geometry problem is set in a new scheme in which the PML’s absorbing and attenuation properties and the description of traveling waves can be represented.This includes a higher continuity and smoother approximation of the computed domain.As high-order NURBS basis functions are non-interpolatory,a penalty method is present to apply a time-dependent displacement load.The performance of the NURBS-based PML is analyzed through numerical examples for 1D and 2D domains,considering homogeneous and heterogeneous media.Further,we verify the long-time numerical stability of the present method.The developed method can be used to simulate hypothetical stratified domains commonly encountered in soil-structure interaction analyses.
