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  • Digitale Medien  (5)
  • Engineering  (3)
  • Error interaction  (2)
  • 1
    Digitale Medien
    Digitale Medien
    A method for assessing geometrical errors in layered manufacturing. Part 1: Error interaction and transfer mechanisms (1998)
    Springer
    The international journal of advanced manufacturing technology 14 (1998), S. 637-643 
    Details
    ISSN: 1433-3015
    Schlagwort(e): Error assessment ; Error interaction ; Error transfer process ; Geometrical model ; Layered manufacturing ; Rapid prototyping
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Abstract Geometric accuracy of components is one of the most important quality characteristics in layered manufacturing processes on which most rapid prototyping (RP) techniques are based. Layered manufacturing is an approximate fabricating process in which the final geometric error of the physical part is affected, not only by the approximation technique used, but also by the fabrication process. Errors that occur in one layer could propagate and transfer to other layers causing an accumulated error effect in the process. In this paper, a concept of disturbance error is introduced to describe the effect of accumulated errors in the fabrication process. A physical model is presented to describe error interactions and error transfer mechanisms in the layered manufacturing process. A geometrical model is developed using surface approximation techniques to describe the relationships of the geometrical errors. It is shown that although the complexity of the part geometry is not directly related to the manufacturing process, it will affect the geometrical errors of the part produced.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01192283
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  • 2
    Digitale Medien
    Digitale Medien
    Theoretical formulations for adaptive finite element computations (1995)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 857-868 
    Details
    ISSN: 1069-8299
    Schlagwort(e): adaptive analysis ; error estimate ; mesh refinement ; finite elements ; plate bending ; computations ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: A new mesh refinement formulation for h-adaptive solutions of linear elliptic problems is presented. The reliability of the methods employed for estimating errors and the convergence rate of the errors during an adaptive process are investigated by means of an asymptotic analysis method. The present adaptive mesh refinement strategy significantly improves adaptivity performance and has higher error convergence rates than those usually used. Numerical examples are shown to illustrate the efficiency of the method shown.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cnm.1640111010
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  • 3
    Digitale Medien
    Digitale Medien
    A method for assessing geometrical errors in layered manufacturing. Part 2: Mathematical modelling and numerical evaluation (1998)
    Springer
    The international journal of advanced manufacturing technology 14 (1998), S. 644-650 
    Details
    ISSN: 1433-3015
    Schlagwort(e): Error interaction ; Error transfer ; Geometrical error ; Layered manufacturing ; Mathematical model ; Rapid prototyping
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Abstract Layered manufacturing based rapid prototyping processes are subjected to not only a staircase effect owing to the approximating process used, but also an accumulated error transfer between layers. Certain types of error such as surface tilting and layer thickness variations that occur in one layer can transfer to other layers above it. This paper describes a mathematical model based on the physical and geometrical models discussed in Part 1 of the paper. The model uses the matrix transformation method to analyse the effect of transformation of local errors to the multiple layer global errors. A data preparation error transformation matrix is used to describe the error interactions between layers during the data preparation stage. A disturbance error transformation matrix is used to describe the error interaction within each layer and error propagation between layers during the part building process. This model describes geometrical error analysis involving profiling error, layer inclination and layer thickness variations. Numerical evaluation of the model is carried out for a typical benchmark component.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01192284
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  • 4
    Digitale Medien
    Digitale Medien
    The h-p-version of the finite-element method in the plate modelling problem (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 8 (1992), S. 17-26 
    Details
    ISSN: 0748-8025
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: The paper addresses the problem of plate modelling within the framework of the h-p-version of the finite-element method. A natural hierarchy of models is constructed. The lowest member of the hierarchy is the well-known Reissner-Mindlin model. It is shown that higher degree elements do not show any locking effects for the models under consideration.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cnm.1630080104
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  • 5
    Digitale Medien
    Digitale Medien
    Accuracy of some plate models for clamped-in boundary conditions (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 8 (1992), S. 211-217 
    Details
    ISSN: 0748-8025
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: The paper shows that the well-known Reissner-Mindlin plate model for the clamped-in boundary condition does not capture the boundary layer behaviour for the bending moments. This boundary layer is present in 3-D formulation. In contrast the proposed (1,1,2) model shows this boundary layer. The strength of the boundary layer for the (1,1,2) model is analysed.
    Zusätzliches Material: 5 Tab.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cnm.1630080402
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