Showing papers in "Computer Methods in Applied Mechanics and Engineering in 1974"

TL;DR: In this paper, a new method for network analysis, the "force density method" is presented, which is based upon the force-length ratios or force densities which are defined for each branch of the net structure.

TL;DR: In this article, two primal static formulations are found in linear programming, from which the relevant dual kinematic versions are obtained via duality properties, and some considerations about the numerical efficiency of the proposed formulations are given.

TL;DR: In this article, a computer-based procedure for finding the shape of tension roof structures is presented, which is quicker, more accurate and cheaper than that using models, and a number of examples taken from existing and proposed large scale structures.

TL;DR: In this article, a way of designing trusses with finite numbers of bars that achieve nearly the same economy of material as the corresponding Michell structures was proposed, while achieving the greatest possible material efficiency.

TL;DR: The finite element method is now a well established tool for the routine treatment of large linear problems, but the treatment of non-linear problems by the method is yet at the beginning as mentioned in this paper.

TL;DR: In this article, a method for calculating potential flow about arbitrary three-dimensional lifting bodies without the approximations inherent in small-perturbation or lifting-surface theories is described.

TL;DR: In this article, a variable grid scheme is applied to a flat plate laminar to turbulent boundary layer flow with a rapidly changing grid interval across the layer, and the accuracy of the solution is determined for a different number of intervals and compared to results obtained with the Keller box scheme.

TL;DR: In this paper, a method of solution of the two-dimensional non-linear partial differential equation describing the magnetic state in the cross-section of an alternator is studied, which is based on the combination of finite element technique with various nonlinear successive point overrelaxation algorithms.

TL;DR: In this article, a mixed finite-difference scheme is presented for the free vibration analysis of simply supported laminated orthotropic circular cylinders, based on the linear three-dimensional theory of orthotropic elasticity, and the governing equations are reduced to six firstorder ordinary differential equations in the thickness coordinate.

TL;DR: In this article, a computational procedure for the large deformation dynamic response of solids is presented and the underlying mechanics, the constitutive theories of interest, the spatial discretization, and the time integration scheme are each discussed.

TL;DR: In this paper, the problem of utilizing experimental data to characterize the stress constitutive function for a nonlinear elastic solid is formulated as an inverse boundary value problem and the use of finite element discretization is extended by introducing a technique of material parameterization.

TL;DR: In this article, a Taylor's expansion in space and time dimensions is used to solve the moving boundary problem in a grid system, and a practical diffusion problem is solved and the results are compared with those obtained from other methods.

TL;DR: The higher eigenvalues can be computed successively by minimizing the Rayleigh quotient of a modified eigenvalue problem based on a deflation process and some important computational advantages with regard to the amount of work are found.

TL;DR: In this paper, the stability and postbuckling analysis for structures with an initially linear behavior is developed on the basis of the general theory founded by Koiter, where the location of the nodal points is defined in terms of the displacement vector and the orientation of an orthogonal triad attached to each nodal point is described by means of modified angular coordinates of Euler.

TL;DR: In this article, the authors present an extension of ASKA to include material non-linearities such as plasticity and creep, and a short derivation of the incremental stress-strain relations which form the basis of the iterative numerical procedure is given.

TL;DR: Methods of decomposing a partitioned rectangular matrix A into a product of an orthogonal matrix Q and an upper triangular matrix R are presented and can be applied to decompose a matrix stored in rectangular blocks on a random access second level storage.

TL;DR: In this paper, a finite element iterative procedure for determination of the contact region between the plate and the elastic half space was proposed, where a special conforming triangular plate bending element having ten terminals was used together with the stiffness matrix of the half space.

TL;DR: In this article, a numerical method is described for solving the Navier-Stokes equations associated with a mathematical model of convective flow, and a variety of problems are described and solved.

TL;DR: In this article, the authors consider theoretical and numerical questions associated with finite element analysis of geometrically nonlinear structural problems and determine an integrated unified approach to solve these problems.

TL;DR: In this paper, the transient heat conduction problem can be solved by application of Galerkin's method to space as well as time discretization, which corresponds to the procedure known as finite elements in time and space.

TL;DR: An error analysis of the solution of linear systems of the form A t Ax = b is presented, and it is shown that the relative solution error using QR methods is usually considerably smaller than that using the Cholesky procedure.

TL;DR: A brief review of the various methods for the stress computation in finite elements by displacement approximation is given in this article, where the equilibrium equations in the nodal points, the stress resultants are obtained.

TL;DR: In this article, a modification to the successive-over-relaxation iterative procedure for solving elliptic partial differential equations is presented, where an individual relaxation factor is calculated for each node, depending on the grid size and the coefficients relating the variable at that node with its neighbours.

TL;DR: In this article, an elastic structure is postulated to consist of members which are taken from a given set of available cross sections, and the structure is to be designed, for given total volume, so as to be as stiff as possible.

TL;DR: In this article, the incremental equilibrium equations for a body subjected to large deformations are given in a Lagrangian description, and the loading terms due to both conservative and non-conservative types of loading are derived using virtual work considerations.

TL;DR: In this paper, a new discrete dynamics is used to model fluid flow in a fashion recommended by von Neumann, which conserves precisely the same Hamiltonian as does the continuous approach.

TL;DR: In this article, the asymptotic accuracies of structural shell theories are reviewed and the optimal choice of interpolation functions for tangential and normal displacement is treated, and the distribution of errors in the strain calculated by the strain method is determined and utilized for accuracte stress evaluation.

TL;DR: In this paper, a finite element algorithm is derived for the numerical solution of a three-dimensional flow field described by a system of initial-valued, elliptic boundary value partial differential equations.

TL;DR: An algorithm with a very modest core store requirement that uses the backing store in a highly efficient manner is obtained and an application to non-modal damping of vibration problems is discussed.