The boundary element method with programming for engineers and scientists - phần 9 ppsx
... 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
... 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
... assembly by element- by -element procedure 213 8.3.1 Sample input file 2 19 8.3.2 Sample output file 2 19 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...
Ngày tải lên: 13/08/2014, 08:21
The boundary element method with programming for engineers and scientists - phần 2 pptx
... 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
The boundary element method with programming for engineers and scientists - phần 3 doc
... Finite and Boundary Element Methods for Engineers. J. Wiley. 3. Banerjee P.K. ( 199 4) Boundary Element Methods in Engineering Science. McGraw Hill. 4. Lachat, J.C. and Watson, J.O. ( 197 6) Effective ... 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 se...
Ngày tải lên: 13/08/2014, 08:21
The boundary element method with programming for engineers and scientists - phần 4 pot
... 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 ... with Boundary Elements 29: 44 7-4 53. 8. Stroud, A.H. and Secrest, D. ( 196 6) Gaussian Quadrature Formulas. Prentice-Hall, Englewood Cliffs. 9. Beer G and...
Ngày tải lên: 13/08/2014, 08:21
The boundary element method with programming for engineers and scientists - phần 5 pps
... 596 -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 0.0 597 -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 ... section for solving the equation system element- by- element. This contains two new subroutines form_lhs and get_km. The first of...
Ngày tải lên: 13/08/2014, 08:21
The boundary element method with programming for engineers and scientists - phần 6 pot
... 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 ... 0.8 2.0 0 .9 The output obtained from program 9. 1 is Post-processed Results Results at Boundary Elements: Element 1 xsi= -1 ....
Ngày tải lên: 13/08/2014, 08:21
The boundary element method with programming for engineers and scientists - phần 8 pps
... 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. ( 196 6) Gaussian Quadrature Formulas. ... continuous elements and then with the program prog111_discont, the discontinuous version of the multi-region program. If we compare the tractions at interface eleme...
Ngày tải lên: 13/08/2014, 08:21
the boundary element method with programming for engineers and scientists - phần 10 pot
... -1 /8Q - Q/8 -1 /15Q C 9 3-4 Q ( 3- QQ 4-5 Q C 10 1 ( 1-3 QQ 1-5 Q C 11 -1 /16GQ - Q/16G -1 /30GQ C 12 1 1 7-5 Q C 13 1-4 Q ( 1-3 QQ 2-1 0 ... 2-1 0 Q C 14 1-2 Q ( 1-3 QQ 1-4 Q C 15 1 ( 1- QQ 1-2 Q C 16 G/4( 1- Q GQ/4 G/15( 1- Q C 17...
Ngày tải lên: 13/08/2014, 08:21