A Numerical-Analytical Method for the Computation of Robot Workspace

2006 ◽  
Author(s):  
X. J. Li ◽  
Y. Cao ◽  
D. Y. Yang
Keyword(s):  
Analytical Method ◽  
Numerical Analytical Method ◽  
Robot Workspace

A Numerical Analytical Method for Singularity Problem in V-Type Notch

2012 ◽  
Vol 446-449 ◽  
pp. 3561-3564
Author(s):  
Chao Yang ◽  
Zhen Huan Zhou ◽  
Xin Sheng Xu
Keyword(s):  
Analytical Method ◽  
Singularity Problem ◽  
Numerical Analytical Method

scholarly journals Calculation of radial inhomogeneity cylindrical shell when exposed to high temperatures by numerical-analytical method and fem

2019 ◽  
Vol 135 ◽  
pp. 01037
Author(s):  
Vladimir Andreev ◽  
Lyudmila Polyakova
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Method ◽  
Software Package ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Infinite Cylinder ◽  
The Finite Element Method ◽  
Numerical Analytical Method ◽  
Element Method

The purpose of the work is to compare two calculation methods using the example of solving the axisymmetric thermoelasticity problem. The calculation of a thick-walled cylindrical three-layer shell on the temperature effect was carried out by the numerical-analytical method and the finite element method implemented in the LIRA-CAD software package. In the calculation, a piecewise linear inhomogeneity of the shell due to its three-layer structure and continuous inhomogeneity caused by the influence of a stationary temperature field is taken into account. The numerical-analytical method of calculation involves the derivation of a resolving differential equation, which is solved by the sweep method, it is possible to take into account the nonlinear nature of the deformation of the material using the method of successive approximations. To solve this problem by the finite element method, a similar computational model of the shell was constructed in the LIRA-CAD software package. The solution of the problem of thermoelasticity for an infinite cylinder (under conditions of a plane deformed state) and for a cylinder of finite length with free ends is given. Comparison of the calculation results is carried out according to the obtained values of ring stresses.

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