The boundary element method with programming for engineers and scientists - phần 6 pot

... Results, Element 3 u= 0.480E-04 0.480E-0 4-0 . 467 E-03 0.744E-04 0.000E+0 0-0 . 468 E-03 0.000E+00 0.000E+0 0-0 .723E-03 0.000E+00 0.744E-0 4-0 . 468 E-03 t= 0.000 0.000 -0 .707 0.000 0.000 -0 .707 ... 298.892 6. 277 0.000 0.000 0.000 0.000 … 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...

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

... ( 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 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Q ... ( 1-3 QQ 2-1 0 Q C 14 1-2 Q ( 1-3 QQ 1-4 Q C 15 1 ( 1- QQ 1-2 Q C 16...

Ngày tải lên: 13/08/2014, 08:21

... 16. 1 Introduction 435 16. 2 Coupling theory 4 36 16. 2.1 Coupling to finite elements 4 36 16. 2.2 Coupling to boundary elements 443 16. 3 Example 444 16. 4 Dynamics 4 46 16. 4.1 Example 447 16. 5 ... 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 W...

Ngày tải lên: 13/08/2014, 08:21

... presented for the one-dimensional finite boundary elements, () () kn N K f are the same infinite shape functions as for the one-dimensional element, with K substituted for [ and the values for ... linear elements (c) one quadratic element 40 The Boundary Element Method with Programming If the element shape functions for the quadratic e...

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... & Mech, 12, 34 3-3 46. 5. Mindlin R.D. (19 36) Force at a point in the interior of a semi-infinite solid. Physics 7: 19 5-2 02. 134 The Boundary Element Method with Programming 6. 3.1 Singular ... 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 seg...

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... 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 .022 36 0.00079 0.00079 -0 .00787 -0 .00123 - 0.00787 -0 .00508 -0 .00508 -0 .00508 -0 .00787 - 0.00787 -0 .00123 -1 0.0000...

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

... Analysis with Boundary Elements 8: 10 9-1 12. 4 . Aliabadi M. H. (2002) The Boundary Element Method (Volume 2). J. Wiley. 5. Stroud, A.H. and Secrest, D. (1 966 ) Gaussian Quadrature Formulas. ... 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...

Ngày tải lên: 13/08/2014, 08:21

... The Boundary Element Method with Programming Figure 16. 2 Interface between finite element and boundary regions showing interface forces In the first method of coupling we propose that the boundary ... 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...

Ngày tải lên: 13/08/2014, 08:21