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Träfflista för sökning "swepub ;srt2:(1990-1994)"

Sökning: swepub > (1990-1994)

  • Resultat 51-60 av 30801
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51.
  • Eriksson, Anders, 1953- (författare)
  • Fold lines for sensitivity analyses in structural instability
  • 1994
  • Ingår i: Computer Methods in Applied Mechanics and Engineering. - 0045-7825 .- 1879-2138. ; 114:1-2, s. 77-101
  • Tidskriftsartikel (refereegranskat)abstract
    • The paper describes how a two-parameter formulation of a structural equilibrium problem can be used for a more accurate description of the occurring critical states. A fold line concept is used to evaluate the dependence of these states on an added variable, describing a disturbing load case or a disturbed geometry. The concept describes the local behaviour for small disturbances, but can also be used for parameter dependence analyses, e.g. in connection with optimization algorithms. Two different augmentations of the equilibrium relations are discussed; they describe the criticality of a solution state in different ways. Numerical adoption for a general equilibrium path following algorithm is discussed. A postponed factorization method for solution of the augmented sets of equations is proposed. Two simple examples are used to show the properties and the possibilities of the fold line concept. It is concluded that the suggested numerical procedure can give a better description of critical structural behaviour, especially with respect to imperfections in the structure and idealizations in the model. © 1994.
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52.
  • Eriksson, Anders, 1953- (författare)
  • On a thin shell element for non-linear analysis, based on the isoparametric concept
  • 1992
  • Ingår i: Computers & structures. - 0045-7949 .- 1879-2243. ; 42:6, s. 927-939
  • Tidskriftsartikel (refereegranskat)abstract
    • This paper discusses a finite element method model for the large displacement, moderate strain analysis of thin shells. The model is based on an 'adapted' reference configuration for a displaced element, separating the displacements into rigid body displacements and strain-producing deformations. A strategy is developed, making use of the isoparametric concept for both the choice of reference configuration and in the element formulation. This makes the use of arbitrarily shaped elements possible. The model is shown to give accurate results for a range of relevant problems. Some problems in the general application of this type of model are discussed. © 1992.
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53.
  • Eriksson, Anders, 1953- (författare)
  • On accurate descriptions for primary and secondary paths in equilibrium problems
  • 1992
  • Ingår i: Computers & structures. - 0045-7949 .- 1879-2243. ; 44:1-2, s. 229-242
  • Tidskriftsartikel (refereegranskat)abstract
    • The paper describes how several procedures, based on ideas and expressions from the analytical elastic stability theory, have been introduced as numerical tools in a general finite element program for geometrically non-linear structural analysis. Derivatives of the tangential stiffness matrix are utilized for improved predictions in the step-wise solution of equilibrium states, for identification of critical points and for accurate descriptions of initial post-bifurcation behaviour. The methods are used in a general solution algorithm, based on a parameterizing component formulation. For some element types, analytical expressions for these derivatives can be developed. The corresponding numerical approximations, needed in other element types, are also discussed. Other practical details in the numerical implementation are given. Two numerical frame examples, showing different types of limit and bifurcation behaviours, are used to discuss the numerical properties of the methods. © 1992.
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54.
  • Eriksson, Anders, 1953- (författare)
  • On improved predictions for structural equilibrium path evaluations
  • 1993
  • Ingår i: International Journal for Numerical Methods in Engineering. - 0029-5981 .- 1097-0207. ; 36:2, s. 201-220
  • Tidskriftsartikel (refereegranskat)abstract
    • The paper describes how several procedures for higher-order predictions have been introduced in order to improve the convergence speed in a general finite element program for non-linear structural analysis. In addition to higher-order Taylor expansions earlier discussed, Lagrangian extrapolations and some methods commonly used for the integration of initial value problems have been introduced. The methods are used for improved predictions in the stepwise solution of equilibrium states and for accurate descriptions of the initial post-bifurcation behaviour. They are used in a general solution algorithm, based on a parameter formulation. The methods are discussed in the light of the strategies for re-creation of the tangential stiffness matrix, used for equilibrium iterations. Numerical examples, exhibiting different limit and bifurcation behaviours for trusses, frames and shells, are used to evaluate the numerical properties and efficiencies of the methods. The paper concludes that the overall efficiency in the algorithm can be improved by introduction of more accurate predictions than the standard Euler prediction. In terms of reliability combined with efficiency, an implicit generalized Simpson method is the preferred method.
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55.
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56.
  • Forsman, Krister (författare)
  • An Algorithm for Finding Periodic Solutions to Systems of Nonlinear Difference Equations
  • 1991
  • Ingår i: Proceedings of the 30th IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780304500 ; , s. 2889-2990 vol.3
  • Konferensbidrag (refereegranskat)abstract
    • An algorithm for finding all N-periodic solutions to systems of nonlinear difference equations is given. The algorithm is based on elimination theory, and in special Gröbner bases. It is applicable to polynomial systems and can handle indeterminate parameters in the system equations. The system is not required to be in state space form; implicit equations are allowed.
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57.
  • Forsman, Krister (författare)
  • Construction of Lyapunov Functions Using Gröbner Bases
  • 1991
  • Ingår i: Proceedings of the 30th IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780304500 ; , s. 798-799 vol.1
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • In this paper we show how so called Grobner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamical systems in an optimal way. The method suggested requires the nonlinearities of the system and the Lyapunov function to be of polynomial type. Some concrete examples of how to apply the method is provided.
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58.
  • Forsman, Krister, et al. (författare)
  • Input-Output Equations and Observability for Polynomial Delay Systems
  • 1994
  • Ingår i: Proceedings of the 33rd IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780319680 ; , s. 880-882 vol.1
  • Konferensbidrag (refereegranskat)abstract
    • This paper discusses and strengthens a result by Fliess (1988) about input-output equations for polynomial systems with time delays. The proof given is more detailed and it opens the way for constructive methods for determining the input-output behavior. A method based on Grobner's approach is described in detail. Furthermore, some connections with observability are exploited.
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59.
  • Ganghoffer, J. F., et al. (författare)
  • Micromechanical simulation of a martensitic transformation by Finite Elements
  • 1991
  • Ingår i: Journal de Physique IV. - : EDP Sciences. - 1155-4339 .- 1764-7177. ; 1, s. C4-77-C4-82
  • Tidskriftsartikel (refereegranskat)abstract
    • A micromechanical model describing the martensitic transformation on the grain scale has been developed, using Finite Elements. First results gained from the simulation illustrate how the morphological evolution within the grain is directly controlled by the internal stress state. The reversible and irreversible part of transformation "plasticity" strain and their evolution with the transformation can then be obtained from these calculations.
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60.
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