摘要:

AbstractThe higher order dynamic correction terms for the stiffness and inertia matrices associated with a triangular plane stress‐strain finite dynamic element are developed in detail. Numerical results presented indicate that the adoption of these matrices along with a suitable quadratic matrix eigenproblem solver effects a significant economy in the free vibration solution of structures when compared with the analysis based on the usual finite element procedure.A FORTRAN IV computer program listing of the various relevant element matrices is also presented in the Appendi

ISSN:0029-5981    

DOI:10.1002/nme.1620141002

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractA numerical model is proposed to simulate the space‐time behaviour of a low‐density plasma in a linear multipole. Semi‐discrete Galerkin techniques are used in conjunction with triangular finite elements. For both space and time discretizations, special techniques are developed to numerically separate the effect of rapid diffusion along the field lines from the slow perpendicular diffusion. Numerical results are exhibited to show how these techniques succeed in eliminating the problems caused by the strong anisotropy of the diffusion coefficient in the strongly curved and very inhomogeneous multipole configur

ISSN:0029-5981    

DOI:10.1002/nme.1620141003

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

ISSN:0029-5981    

DOI:10.1002/nme.1620141004

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractSome tools are presented that may be used when implementing an application oriented software system. FEMSYS, a system for calculations based on the finite element method, will serve as example. Features of a simple problem oriented language and its parsing are treated and also a generally applicable data structure for both internal and external data storage. It is indicated how a system can be implemented which is suited to the solution of both standard and non‐standard problem

ISSN:0029-5981    

DOI:10.1002/nme.1620141005

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractAn isoparametric Hermite cubic element is developed for calculating compressible flows past complex aerofoils in two dimensions. A simple intermediate transformation is used to derive an isoparametric transform whose Jacobian is always non‐zero and which attains very high accuracy on the boundary. Application of the method and assessment of the error is illustrated by flow past a circular cylinde

ISSN:0029-5981    

DOI:10.1002/nme.1620141006

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractThree weighted residual methods are used to analyse several linear and nonlinear model problems related to the stream function–vorticity formulation of the Navier–Stokes equations. These methods are then used to solve the driven cavity problem. The results obtained at Reynolds numbers of 100 and 400 compare very favourably with those obtained by finite difference and spline methods on meshes using at least four times as many mesh poi

ISSN:0029-5981    

DOI:10.1002/nme.1620141007

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractVarious singularity finite elements proposed so far are reviewed and their correlations are discussed. The method adopted in the comparative study is based on the singularity mapping or transformation technique. It is suggested that a compact design of computational routines is materialized by using the element which embodies singularity transformation and can be compatible with the notion of using the variable‐number‐nodes element in the general‐purpose computer pro

ISSN:0029-5981    

DOI:10.1002/nme.1620141008

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractThe reasons for the presence of spurious modes in plane isoparametric elements are examined. Eigenvalue and eigenvector analyses of stiffness matrices for single elements and unconstrained and constrained meshes reveal the types of mechanisms and near‐mechanisms that can be expected when reduced or selective integration techniques are used with quadrilateral elements in the analysis of plane strain problem

ISSN:0029-5981    

DOI:10.1002/nme.1620141009

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractApproximate and exact methods are presented for computing a function, related to complete elliptic integrals of the first kind, which arise in the theory of microwave transmission lines. The method can be implemented on programmable hand calculators.

ISSN:0029-5981    

DOI:10.1002/nme.1620141010

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY

摘要:

AbstractA method is presented for inverting ann×ncomplex matrixM=A+jBby using a real matrix inversion. The approach avoids the requirements of inverting a 2n× 2nreal matrix as well as non‐singularity assumptions placed onAorB, orA+B, orA−B, as required by earlier me

ISSN:0029-5981    

DOI:10.1002/nme.1620141011

出版商:John Wiley&Sons, Ltd    

年代:1979

数据来源: WILEY