The boundary element method with programming for engineers and scientists - phần 4 pot

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Ngày tải lên: 13/08/2014, 08:21

... Results, Element 3 u= 0 .48 0E- 04 0 .48 0E-0 4- 0 .46 7E-03 0. 744 E- 04 0.000E+0 0-0 .46 8E-03 0.000E+00 0.000E+0 0-0 .723E-03 0.000E+00 0. 744 E-0 4- 0 .46 8E-03 t= 0.000 0.000 -0 .707 0.000 0.000 -0 .707 ... 0.113E-03 0.000E+00 0 .48 0E- 04 0 .48 0E-0 4- 0 .46 7E-03 0.000E+00 0. 744 E-0 4- 0 .46 8E-03 0.000E+00 0.154E-03 0.000E+00 t= 0.000 0.000 0.000 0....

Ngày tải lên: 13/08/2014, 08:21

... 1-2 Q ( 1- QQ 1-2 Q C 4 2  3 C 5 1 ( 1- QQ 1-2 Q C 6 4  5 C 7 1 -4 Q ( 1-3 QQ 1 -4 Q C 8 -1 /8Q - Q/8 -1 /15Q C 9 3 -4 Q ( 3- QQ 4- 5 Q C 10 ... C 10 1 ( 1-3 QQ 1-5 Q C 11 -1 /16GQ - Q/16G -1 /30GQ C 12 1 1 7-5 Q C 13 1 -4 Q ( 1-3 Q...

Ngày tải lên: 13/08/2014, 08:21

... 43 5 16.1 Introduction 43 5 16.2 Coupling theory 43 6 16.2.1 Coupling to finite elements 43 6 16.2.2 Coupling to boundary elements 44 3 16.3 Example 44 4 16 .4 Dynamics 44 6 16 .4. 1 Example 44 7 ... Element Method with Programming 3.2 One-dimensional boundary elements 32 3.3 Two-dimesional elements 36 3 .4 Three-dimensional cells 44 3.5 Elements of infinit...

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 ... n  n [  n K  n ]  1 -1 .0 -1 .0 1.0 5 -1 .0 -1 .0 -1 .0 2 1.0 -1 .0 1.0 6 1.0 -1 .0 -1 .0 3 1.0 1.0 1.0 7 1.0 1.0 -1 .0 4...

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 ... Math. & Mech, 12, 34 3-3 46 . 5. Mindlin R.D. (1936) Force at a point in the interior of a semi-infinite solid. Physics 7: 19 5-2 02. 1 34 The...

Ngày tải lên: 13/08/2014, 08:21

... inside the domain and on the boundary. For the computation of results the integral equation for 232 The Boundary Element Method with Programming the displacement (5.16) or temperature/potential ... -0 .02236 0.00079 0.00079 -0 .00787 -0 .00123 - 0.00787 -0 .00508 -0 .00508 -0 .00508 -0 .00787 - 0.00787 -0 .00123 -1 0.00000 0...

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

... 12 .4 Cantilever beam The expected error for the discontinuous displacement at common nodes of adjacent elements nodes is less then 0.1%. -0 .06 -0 .05 -0 . 04 -0 .03 -0 .02 -0 .01 0 0 1 2 3 4 ... Nodes 4 ! Elements 1.000 1.000 0.707 0.707 1.000 0.000 0.707 -0 .707 0.000 -1 .000 1 2 3 4 3 64 The Boundary Element Method with P...

Ngày tải lên: 13/08/2014, 08:21

... magnitude F at the tunnel face. Figure 14. 13 Problem statement Figure 14. 14 Boundary element mesh 44 4 The Boundary Element Method with Programming (16.18) where the inverse of N has to be determined. ... 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...

Ngày tải lên: 13/08/2014, 08:21