摘要:

AbstractA fully discrete stability and accuracy analysis of some algorithms for the one‐dimensional heat equation is presented. Results illustrate that 2‐pass explicit schemes which simultaneously employ lumped and coupled capacity matrices are capable of improved performance over the standard 1‐pass explicit s

ISSN:0029-5981    

DOI:10.1002/nme.1620210113

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

摘要:

AbstractA general matrix operator is established for solving linear boundary value problems in slip‐line field theory. The operator will enable a wider class of problems to be solved than were previously possible with the matrix slip‐line field technique. As an illustration, a range of solutions are generated involving the previously intractable Coulomb friction boundary condit

ISSN:0029-5981    

DOI:10.1002/nme.1620210114

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

摘要:

AbstractA simple approach is proposed to calculate the bifurcation and limit points of structures, talcing into account the pre‐unstable behaviour, by the finite element method. The approach is as follows: at each load step, the triangular factorization of the tangent stiffness matrix is checked to determine if the matrix is positive definite or not. When the tangent stiffness matrix is positive definite at a certain load step and non‐positive definite at the next load step, the structure is considered to become unstable between the two load steps and an eigenproblem is constructed based on the difference of the tangent stiffness matrices at the two load steps. The critical load and corresponding mode of the structure are then derived from solving the eigenproblem. The proposed procedure is simple and economical, and it can be easily incorporated into a conventional geometric nonlinear analysis computer program. It is implemented in the ADINA program and some sample calculations are sh

ISSN:0029-5981    

DOI:10.1002/nme.1620210115

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620210117

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620210118

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620210102

出版商:John Wiley&Sons, Ltd    

年代:1985

数据来源: WILEY