Home  About us  Contact
 

Method Lies (method + ly)

Distribution by Scientific Domains
Mathematics and Statistics40%
Engineering40%

Selected Abstracts

A unified formulation of the piecewise exact method for inelastic seismic demand analysis including the P -delta effect

EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Issue 6 2003
M. N. Ayd
Abstract The non-linear analysis of single-degree-of-freedom (SDOF) systems provides the essential background information for both strength-based design and displacement-based evaluation/design methodologies through the development of the inelastic response spectra. The recursive solution procedure called the piecewise exact method, which is efficiently used for the response analysis of linear SDOF systems, is re-formulated in this paper in a unified format to analyse the non-linear SDOF systems with multi-linear hysteresis models. The unified formulation is also capable of handling the P-delta effect, which generally involves the negative post-yield stiffness of the hysteresis loops. The attractiveness of the method lies in the fact that it provides the exact solution when the loading time history is composed of piecewise linear segments, a condition that is perfectly satisfied for the earthquake excitation. Based on simple recursive relationships given for positive, negative and zero effective stiffnesses, the unified form of the piecewise exact method proves to be an extremely powerful and probably the best tool for the SDOF inelastic time-history and response spectrum analysis including the P-delta effect. A number of examples are presented to demonstrate the implementation of the method. Copyright © 2003 John Wiley & Sons, Ltd. [source]

An efficient gridding reconstruction method for multishot non-Cartesian imaging with correction of off-resonance artifacts

MAGNETIC RESONANCE IN MEDICINE, Issue 6 2010
Yuguang Meng
Abstract An efficient iterative gridding reconstruction method with correction of off-resonance artifacts was developed, which is especially tailored for multiple-shot non-Cartesian imaging. The novelty of the method lies in that the transformation matrix for gridding (T) was constructed as the convolution of two sparse matrices, among which the former is determined by the sampling interval and the spatial distribution of the off-resonance frequencies and the latter by the sampling trajectory and the target grid in the Cartesian space. The resulting T matrix is also sparse and can be solved efficiently with the iterative conjugate gradient algorithm. It was shown that, with the proposed method, the reconstruction speed in multiple-shot non-Cartesian imaging can be improved significantly while retaining high reconstruction fidelity. More important, the method proposed allows tradeoff between the accuracy and the computation time of reconstruction, making customization of the use of such a method in different applications possible. The performance of the proposed method was demonstrated by numerical simulation and multiple-shot spiral imaging on rat brain at 4.7 T. Magn Reson Med, 2010. © 2010 Wiley-Liss, Inc. [source]

An inverse eigenvalue method for frequency isolation in spring,mass systems

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Issue 1 2002
Juan C. Egaña
Abstract The action of external vibrating forces on mechanical structures can cause severe damages when resonance occurs. The removal of natural frequencies of the structure from resonance bands is therefore of great importance. This problem is called frequency isolation problem and is the subject of this paper. A new inverse eigenvalue method is proposed and applied to spring,mass systems, which have generated much interest in the literature as prototypes of vibrating structures. The novelty of the method lies in using the zeros of the frequency response function at the last mass as control variables in an optimization problem to minimize the impact of redesign. Numerically accurate algorithms for computing the sensitivity with respect to the control variables are presented, which form the basis of an efficient multidimensional search strategy to solve the frequency isolation problem. Copyright © 2001 by John Wiley & Sons, Ltd. [source]

Anisotropic mesh adaptation for numerical solution of boundary value problems

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Issue 4 2004
Vít Dolej
Abstract We present an efficient mesh adaptation algorithm that can be successfully applied to numerical solutions of a wide range of 2D problems of physics and engineering described by partial differential equations. We are interested in the numerical solution of a general boundary value problem discretized on triangular grids. We formulate a necessary condition for properties of the triangulation on which the discretization error is below the prescribed tolerance and control this necessary condition by the interpolation error. For a sufficiently smooth function, we recall the strategy how to construct the mesh on which the interpolation error is below the prescribed tolerance. Solving the boundary value problem we apply this strategy to the smoothed approximate solution. The novelty of the method lies in the smoothing procedure that, followed by the anisotropic mesh adaptation (AMA) algorithm, leads to the significant improvement of numerical results. We apply AMA to the numerical solution of an elliptic equation where the exact solution is known and demonstrate practical aspects of the adaptation procedure: how to control the ratio between the longest and the shortest edge of the triangulation and how to control the transition of the coarsest part of the mesh to the finest one if the two length scales of all the triangles are clearly different. An example of the use of AMA for the physically relevant numerical simulation of a geometrically challenging industrial problem (inviscid transonic flow around NACA0012 profile) is presented. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004. [source]

Zur Diskussion des Böenreaktionsfaktors G nach DIN 1055-4:2005

BAUTECHNIK, Issue 10 2009
BayIKBau Robert Hertle Dr.-Ing., Beratender Ingenieur VBI, Prüfingenieur für Standsicherheit vpi
Allgemeines; Baumechanik; General Topics; Structural Mechanics Abstract Mit Einführung der DIN 1055-4:2005 fand ein Paradigmenwechsel bei der Beschreibung der Windlasten statt. Das bisherige, deterministische Konzept zur Definition der Windeinwirkung wurde verlassen und durch ein auf stochastischen Überlegungen fußendes ersetzt. Für Konstruktionen und Bauwerke, die nicht schwingungsanfällig unter böigen Windeinwirkungen sind, ergeben sich daraus keine nennenswerten Änderungen bei der rechnerischen Untersuchung. Für die Analyse von schwingungsanfälligen Konstruktionen hat diese Neukonzeption tiefgreifende Konsequenzen. Die bekannte und einfach zu handhabende Ermittlung des Böenreaktionsfaktors auf Grundlage der Normen der achtziger und neunziger Jahre des vergangenen Jahrhunderts wurde durch ein komplexes, unübersichtliches und mit einfachen Ingenieurmethoden nicht mehr zu überprüfendes Berechnungsschema abgelöst. In diesem Beitrag wird dieses Schema diskutiert, und es wird ein einfaches Näherungsverfahren zur Ermittlung der Böenreaktion einer Konstruktion vorgeschlagen, welches, insbesondere vor dem Hintergrund der sonstigen Unschärfen und Unsicherheiten einer Berechnung, ausreichende Genauigkeit zeigt. On the discussion of the gust reaction factor acc. DIN 1055-4:2005. With the introduction of DIN 1055-4:2005 a change of paradigm concerning the description of wind loads took place. The previous concept, based on a deterministic view, was replaced by an approach using stochastic considerations. For constructions and buildings deemed to be not susceptible to gust action, no significant changes within the structural analysis arise. Enormous consequences, on the other hand, have to be faced when analyzing structures susceptible to gust action. The well known and easy to handle method for calculating the gust reaction factor using the standards of the 80th and 90th of the last century, was redeemed by a complex, partly confused calculation scheme which is not checkable with usual engineering tools. In the following paper this calculation scheme is discussed. Following to this discussion, a simplified method for calculating the gust reaction factor is presented. The accuracy of this method lies, having the usual uncertainties and deficits of structural analyses in mind, in an acceptable range. [source]