the boundary element method with programming for engineers and scientists - phần 10 pot

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Ngày tải lên: 13/08/2014, 08:21

... matrices and then solve for the boundary unknowns and another where the assembly and solution are intermixed. The analogy to this in the FEM is the direct solution and the Element by Element ... So the information that is needed for the assembly is the Connectivity or Destination vector and the boundary code for each element. Note that the bo...

Ngày tải lên: 13/08/2014, 08:21

... Results, Element 6 u= -0 .075 -0 .508 0.075 -0 .508 0.000 -0 .508 t= 0.000 -1 0.000 0.000 -1 0.000 0.000 -1 0.000 272 The Boundary Element Method with Programming Required are the displacements and the ... 0.480E-0 4-0 .467E-03 0.744E-04 0.000E+0 0-0 .468E-03 0.000E+00 0.000E+0 0-0 .723E-03 0.000E+00 0.744E-0 4-0 .468E-03 t= 0.000 0...

Ngày tải lên: 13/08/2014, 08:21

... assembly by element- by -element procedure 213 8.3.1 Sample input file 219 8.3.2 Sample output file 219 16 The Boundary Element Method with Programming When the array is no longer used, then the space ... common version of this method we subdivide the domain into elements and approximate 14 The Boundary Element Method with Programming be divided into...

Ngày tải lên: 13/08/2014, 08:21

... linear elements (c) one quadratic element 40 The Boundary Element Method with Programming If the element shape functions for the quadratic element are derived from Lagrange polynomials, then there ... are the same infinite shape functions as for the one-dimensional element, with K substituted for [ and the values for m(n) and k(n) are give...

Ngày tải lên: 13/08/2014, 08:21

... 0. -5 . 0. -4 .5 0. -4 . 0. -3 .5 0. -3 . 0. -2 .5 0. -2 . 0. -1 .5 BOUNDARY INTEGRAL EQUATIONS 117 or in discretised form using line segments (5.51) where (5.52) The flows at P a in x- and ... ns= 1,nseg-1 Thet= Thet + Delth xB(1,ns)= rqo*COS(Thet) xB(2,ns)= rqo*SIN(Thet) xA(1,ns+1)= xB(1,ns) xA(2,ns+1)= xB(2,ns) END DO & 102 The Bo...

Ngày tải lên: 13/08/2014, 08:21

... 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 597 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 598 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 599 -1 0.0 0.0 0.0 -1 0.0 ... -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 600 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 -1 0.0 0.0 0.0 1.E-9 50 4 .7...

Ngày tải lên: 13/08/2014, 08:21

... side of the beam are the same and agree very well with the analytical solution, except for the coarse mesh with continuous elements. For the discontinuous mesh with 3 elements and for the continuous ... 332 The Boundary Element Method with Programming We now investigate the other possibilities for the location of i P . i P is located at one...

Ngày tải lên: 13/08/2014, 08:21

... cube with a distributed boundary load of 2 10 KN/m on the top of the cube. The geometry is shown in Figure 12.6 and the material parameters for all regions are E =100 0kN/m 2 , Q=0. For the purpose ... swelling. The effect of the swelling on the deformations at the boundary of the hole is required. The material properties for the domain are assumed...

Ngày tải lên: 13/08/2014, 08:21

... previously if the point a P is not one of the cell nodes. If P a coincides with the nodes of cells, then the integrand tends to infinity with o(r 2 ) for 2-D and o(r 3 ) for 3-D problems and special ... The Boundary Element Method with Programming Figure 16.2 Interface between finite element and boundary regions showing interface forces In the f...

Ngày tải lên: 13/08/2014, 08:21