A mass lumping scheme for the 10-node tetrahedral element

2019 ◽  
Vol 106 ◽  
pp. 190-200 ◽  
Author(s):  
Guohua Zhang ◽  
Yongtao Yang ◽  
Guanhua Sun ◽  
Hong Zheng
Keyword(s):  
Mass Lumping ◽  
Tetrahedral Element

A four-node tetrahedral element with continuous nodal stress

2017 ◽  
Vol 191 ◽  
pp. 180-192 ◽  
Author(s):  
Yongtao Yang ◽  
Guanhua Sun ◽  
Hong Zheng
Keyword(s):  
Tetrahedral Element

Dynamic Analysis of Plates with Cut-Out Carrying Concentrated and Distributed Mass

2020 ◽  
Vol 162 (A3) ◽  
Author(s):  
S Pal ◽  
S Haldar ◽  
K Kalita
Keyword(s):  
Finite Element ◽  
Dynamic Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Element Formulation ◽  
Plate Bending ◽  
Mass Lumping ◽  
First Order ◽  
Side Ratio ◽  
Isotropic Plates

An isoparametric plate bending element with nine nodes is used in this paper for dynamic analysis of isotropic cut-out plate having concentrated and uniformly distributed mass on the plate. The Mindlin’s first-order shear deformation theory (FSDT) is used in the present finite element formulation. Two proportionate mass lumping schemes are used. The effect of rotary inertia is included in one of the mass lumping schemes in the present element formulation. Dynamic analysis of rectangular isotropic plates with cut-out having different side ratio, thickness ratio and boundary condition is analysed using a finite element method. The present results are compared with the published results. Some new results on isotropic plates with cut-out having different side ratio, ratio of side-to-thickness of the plate, different position and size of cut-out in plates subjected to transversely concentrated and distributed mass are presented.

Structure Analysis with 2D Quadrilateral Meshes Generated by a Label-Driven Subdivision

2016 ◽  
Vol 10 (2) ◽  
pp. 187-194 ◽  
Author(s):  
Bo Liu ◽  
◽  
Kenjiro T. Miura ◽  
Shin Usuki ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Analysis ◽  
Structure Analysis ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Tetrahedral Element ◽  
Hexahedral Elements ◽  
Hexahedral Element ◽  
Preliminary Research

For a structural analysis using the finite element method, a hexahedral element is preferable to a tetrahedral element from the viewpoint of accuracy. However, it is very difficult to subdivide a mesh consisting of hexahedral elements if the shape of the mesh is complicated. Hence, in this paper, as a preliminary research, we use a label-driven subdivision method for a two-dimensional mesh, and show that meshes subdivided nonuniformly can guarantee as much accuracy as meshes with uniform subdivision.

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