This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional(3D)complex geometry structures,which are the interlocking concrete blocks of step seawall.The elastostatic behavior of th...This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional(3D)complex geometry structures,which are the interlocking concrete blocks of step seawall.The elastostatic behavior of the block is analysed by solving the Galerkin weak form formulation over local support domain.The 3D moving least square(MLS)approximation is applied to build the interpolation functions of unknowns.The pre-defined number of nodes in an integration domain ranging from 10 to 60 nodes is also investigated for their effect on the studied results.The accuracy and efficiency of the studied method on 3D elastostatic responses are validated through the comparison with the solutions of standard finite element method(FEM)using linear shape functions on tetrahedral elements and the well-known commercial software,ANSYS.The results show that elastostatic responses of studied concrete block obtained by meshfree method converge faster and are more accurate than those of standard FEM.The studied meshfree method is effective in the analysis of static responses of complex geometry structures.The amount of discretised nodes within the integration domain used in building MLS shape functions should be in the range from 30 to 60 nodes and should not be less than 20 nodes.展开更多
利用添加多项式项的(Radial Point Interpolation Method,RPIM)形函数,形成了动力学问题的无网格全局弱形式.生成了伴随于域节点的Voronoi图,利用基于应变光滑稳定方案的稳定相容节点积分得到了改进后的总体刚度矩阵离散化形式,并利用...利用添加多项式项的(Radial Point Interpolation Method,RPIM)形函数,形成了动力学问题的无网格全局弱形式.生成了伴随于域节点的Voronoi图,利用基于应变光滑稳定方案的稳定相容节点积分得到了改进后的总体刚度矩阵离散化形式,并利用直接法施加位移边界条件.自由振动分析得到了与有限元参考解吻合良好的数值解,受迫振动分析采用了无条件稳定的Newmark法,从而验证了本方法在求解动力学问题所展现的稳定性、精确性及收敛性.展开更多
基金the VLIR-UOS TEAM Project,VN2017TEA454A103,‘An innovative solution to protect Vietnamese coastal riverbanks from floods and erosion’,funded by the Flemish Government.https://www.vliruos.be/en/projects/project/22?pid=3251.
文摘This study adapts the flexible characteristic of meshfree method in analyzing three-dimensional(3D)complex geometry structures,which are the interlocking concrete blocks of step seawall.The elastostatic behavior of the block is analysed by solving the Galerkin weak form formulation over local support domain.The 3D moving least square(MLS)approximation is applied to build the interpolation functions of unknowns.The pre-defined number of nodes in an integration domain ranging from 10 to 60 nodes is also investigated for their effect on the studied results.The accuracy and efficiency of the studied method on 3D elastostatic responses are validated through the comparison with the solutions of standard finite element method(FEM)using linear shape functions on tetrahedral elements and the well-known commercial software,ANSYS.The results show that elastostatic responses of studied concrete block obtained by meshfree method converge faster and are more accurate than those of standard FEM.The studied meshfree method is effective in the analysis of static responses of complex geometry structures.The amount of discretised nodes within the integration domain used in building MLS shape functions should be in the range from 30 to 60 nodes and should not be less than 20 nodes.
文摘利用添加多项式项的(Radial Point Interpolation Method,RPIM)形函数,形成了动力学问题的无网格全局弱形式.生成了伴随于域节点的Voronoi图,利用基于应变光滑稳定方案的稳定相容节点积分得到了改进后的总体刚度矩阵离散化形式,并利用直接法施加位移边界条件.自由振动分析得到了与有限元参考解吻合良好的数值解,受迫振动分析采用了无条件稳定的Newmark法,从而验证了本方法在求解动力学问题所展现的稳定性、精确性及收敛性.
