TL;DR: In this paper, the performance of curved-beam, finite element models of circular center line in the solution of circular arch problems is investigated. But the authors focus on the selection of the assumed displacement patterns and the comparative efficiency of some relatively high-order, independently-interpolated models and of previously formula: ed models.

TL;DR: In this paper, the analysis of shallow and deep arches by curved beam finite elements is considered, where the individual elements are assumed to be shallow with respect to a local base line and different types of straindisplacement equations are utilised.

TL;DR: BOSOR4 as mentioned in this paper is a comprehensive computer program for analysis of the stress, stability, and vibration of segmented, ring-stiffened, branched shells of revolution and prismatic shells and panels.

TL;DR: In this paper, a study is made of two approximate techniques for structural reanalysis, which include Taylor series expansions for response variables in terms of design variables and the reduced-basis method.

TL;DR: In this paper, an overlay model is employed in the description of the non-linear behavior of materials, where the solid is assumed to be composed of several layers or overlays, each of which undergoes the same deformation.

TL;DR: In this paper, a study is made of optimum grids in two dimensional plane stress problems from which specific guidelines are suggested such that near-optimal grids can be selected by the analyst.

TL;DR: In this paper, the residual shear balancing technique was applied to the generation of the stiffness matrix of a 12 degree-of-freedom rectangular plate bending element, and the results were compared with those obtained with elements of similar size.

TL;DR: In this paper, a unique relationship is found among four very important and related solution methods for geometrically nonlinear analysis, and suggestions can then be made with respect to the most appropriate method by considering the required accuracy of the solution in conjunction with the costs of computation.

TL;DR: The superelement method in combination with extensive data generators materialized in the program system SESAM-69 introduce a new dimension to the concept of the Finite Element Method (FEM).

TL;DR: In this paper, an application of isoparametric elements for the elastic-plastic dynamic analysis of shells of revolution is presented, which can analyze axisymmetric structures subjected to axially symmetric loading as well as plane stress problems.

TL;DR: The theoretical predictions of as discussed by the authors concerning the needed accuracy in the numerical integration of curvilinear (isoparametric) finite elements are confirmed experimentally and the theoretical arguments and numerical results arrived at here suggest a way to lump the mass matrix with no accuracy loss.

TL;DR: The theory of linear, stationary, norm-reducing type iterations for the solution of linear simultaneous equations is briefly reviewed and the genesis of simple iterition, Jacobi iteration and Gauss-Seidel iteration is shown to be the consequence of splitting the coefficient matrix in different ways as discussed by the authors.

TL;DR: The locus of the roots for the homogeneous form of these equations is analyzed and related to the stability region for general, stiffly stable, linear multistep methods and a new family of third order formulas with a number of advantages over previously published formulas is given.

TL;DR: In this article, the authors extended the continuous mass matrix method to include the forced vibration in the dynamic analysis of plane and space frameworks, and proved the validity of the two orthogonality conditions of the modal shapes.

TL;DR: In this article, a tridiagonal partition with varying order of the submatrices is proposed for the solution of large systems of linear equations, based on the Potters' algorithm.

TL;DR: In this article, the results from application of shell elements for prediction of quasi static and dynamic stresses in marine propeller blades are compared with experiments, and specially designed data generators are employed to facilitate the helicoidal geometry involved.

TL;DR: In this paper, a detailed study of the large deflection behavior of skew plates has been made by varying three parameters, viz. skew angle, load, and aspect ratio, and representative non-dimensional solutions have been presented in the form of graphs to elucidate the nonlinear effect due to high loads.

TL;DR: The capability of the finite element method in solving non-linear and dynamic problems is sketched and the application of simple types of elements is discussed.

TL;DR: In this paper, the stiffness matrix for a conical shell finite element is derived using Novozhilov's strain-displacement relations for conical shells and numerical integration is carried out to ge the stiffness matrices.

TL;DR: In this paper, the displacement function has been taken as a product of two functions; one satisfying boundary conditions at the simply supported edges and the other a general function, from the resulting differential equation of motion, an exact solution is obtained for the general function.

TL;DR: In this paper, the authors proposed a finite element method for the analysis of polar orthotropic circular plates and derived the stiffness, mass, and stability coefficient matrices from the static displacement function.

TL;DR: In this paper, the structural design problem is formulated as a general nonlinear optimization problem with constraints and methods of solution for constrained as well as unconstrained problems are reviewed, with special emphasis on penalty function methods for constrained problems.

TL;DR: In this article, a complex multi-segment numerical integration procedure was developed for the static analysis of mechanically and thermally loaded branched laminated anisotropic shells of revolution with arbitrary meridional variations in thickness and material properties.

TL;DR: In this paper, the analysis of single and continuous span curved girders is accomplished by solution of the Vlasov equations using the finite difference technique, which by this means permits inclusion of point wise property variations ( I w, K t, I x ) and interaction of the vertical and torsional deformations.

TL;DR: In this paper, a quasi-analytical finite element procedure is developed which can analyze the static and dynamic mechanical fields of anisotropic axisymmetric shells and bodies using complex series representations.

TL;DR: In this article, a rectangular plate finite element is developed according to a variational principle due to Prager and it is applied to plate stability analysis and the results obtained compare very favorably with results based on previous formulations.

TL;DR: In this article, a method of analysing large amplitude vibrations of circular plates with mixed boundary conditions is explained and illustrated with an example where part of the boundary is clamped and the remaining simply-supported.

TL;DR: Both the fracture and lifetime characteristics observed indicate a need for a change in rational for the design of composite structures.

TL;DR: In this article, the authors have considered design behaviour at various loading stages and pressures, as an input in the design process called synthesis and geometric properties are generated as an output, for checking accepted design behaviour or safe pressure carrying capacity.