Dynamic Response of a Damped Large Space Structure: A New Fractional-Spectral Approach

Horr, A.M.; Schmidt, Lewis C.

doi:10.1177/026635119501000204

Cited by 26 publications

(19 citation statements)

References 2 publications

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“…From a comparison between (4) and (7), it is clear that in the spectral formulation, the time variation terms are formulated in the frequency domain instead of a direct formulation in the time domain. If the spectral method applies to the conventional method, it gives the relationships [2] (8)…”

Section: Spectral Element Methodsmentioning

confidence: 99%

“…The matrix can be determined using the boundary conditions [2]. The spectral method can be constructed mainly by two concepts: a) assembling of the dynamic stiffness matrix based on the spectral shape function for elements; b) evaluation of the frequency-dependent quantities (damping, load) using the stable FFT.…”

Section: Spectral Element Methodsmentioning

confidence: 99%

“…Fig. 5 shows the complex spectral parameters for nonlinear dynamic analysis presented in [2]. The full Newmark [6] method is employed for the transient dynamic analysis of the conventional finite-element model using Ansys 1 general-purpose finite-element program.…”

Section: Numerical Analysismentioning

confidence: 99%

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Spectral Dynamic Analysis of Power Transmission Towers Using ANN Imperfection Simulator

Safi¹,

Horr²

2004

IEEE Trans. Power Delivery

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One major division in the mathematical modeling of power transmission towers is to include the effect of imperfections in the dynamical response of the system. The neural-network simulators as a nonparametric system identification approach present a robust and efficient way to simulate the nonlinear behavior of engineering systems. In the paper herein, an artificial-neural-network (ANN) simulator, a general back error propagating perceptron, is used to simulate random imperfection for spectral dynamic analysis of power transmission towers. There have been considerable efforts to apply the method of spectral analysis to the vibration of a structure using spectral frame elements. In the first part of the paper, the analytical development of the spectral method has been presented, while the second part deals with the ANN simulator and its base field data. The final part presents numerical examples which highlight the efficiency of the proposed method.

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Section: Spectral Element Methodsmentioning

confidence: 99%

Section: Spectral Element Methodsmentioning

confidence: 99%

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Spectral Dynamic Analysis of Power Transmission Towers Using ANN Imperfection Simulator

Safi¹,

Horr²

2004

IEEE Trans. Power Delivery

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“…1. The spectral solution for the flexural vibration of a beam can be found as (Horr 1995;Horr and Schmidt 1996a, 1996b, 1997 [1]…”

Section: Exact Spectral Modal Analysismentioning

confidence: 99%

Nonlinear spectral dynamic analysis of guyed towers. Part II: Manitoba towers case study

Horr¹,

Yibulayin²,

Disney³

2004

Can. J. Civ. Eng.

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Dynamic response of large complex space structures under wind loading is important in terms of performance and safety. Conventional method of wind loading calculation has been used successfully in codes to analyze large space structures. The method can be applied by approximating the air pressure, induced by wind, on the surfaces of structures. Although this replaces a wind loading test using complicated wind tunnel tests for any structural systems, the accuracy of the method, in the case of complex geometry guyed tower structures, is a matter of consideration. Hence, it is desirable to search for a procedure with more accuracy and reliability. In this respect, attention is paid to the advanced spectral element method and the computational fluid dynamics. Using the proposed formulation, a material and geometric nonlinear dynamic analyses have been performed to simulate post-buckling behaviours and also collapse modes for series of Manitoba Hydro's guyed towers under extreme wind loading conditions. Résumé : La réponse dynamique de grandes structures tridimensionnelles complexes sous des charges exercées par le vent est importante en termes de rendement et de sécurité. La méthode conventionnelle de calcul des charges dues au vent a été utilisée avec succès dans les codes pour analyser des grandes structures tridimensionnelles. La méthode peut être utilisée en appliquant une approximation de la pression d'air, induite par le vent, sur la surface des structures. Bien que cela remplace un essai des charges exercées par le vent qui utilise des essais compliqués en soufflerie pour tout système structural, il faut tenir compte de l'exactitude de la méthode dans le cas des tours haubanées, qui sont des structures géométriques complexes. Il est donc désirable de rechercher une procédure plus exacte et plus fiable. Concernant ces points, nous portons notre attention sur la méthode avancée des éléments spectraux et la dynamique des fluides numérique. En utilisant la formulation proposée, une analyse des matériaux et des analyses géométriques non linéaires ont été effectuées pour simuler le comportement post-flambement ainsi que les modes d'effondrement pour des séries de tours appartenant à Manitoba Hydro sous des conditions extrêmes de charges dues au vent.Mots clés : dynamique des fluides numérique, charge exercée par le vent, mode d'effondrement, analyse non linéaire, post-flambement.[Traduit par la Rédaction]

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“…The acceleration ( i+1 ), displacements (U i+1 ), forces (F(t) i+1 ) and stresses (s i+1 ) are calculated for the whole time steps. The algorithms may be written as (Bagley, 1979;Horr and Schmidt, 1996a) (32)…”

Section: Plasticity In Explicit Dynamic Analysismentioning

confidence: 99%

Multi‐layered energy absorber frames for tall buildings under high‐speed impact

Horr¹,

Safi²

2003

Structural Design Tall Build

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Based on the advanced fractional derivative damping theory for vibration of large systems and the flexible surfaceto-surface advanced contact theory, a new design strategy has been presented to deal with the high-speed impact of flying objects into tall buildings. Using a multi-layered frame system with external energy absorber frame and a new individual grid-stiffened flooring system (IGSF), a new system has been design to resist the initial impact force and the progressive collapse phenomena. The system can also guide the heat waves caused by the explosion using a special frame system. These characteristics of the new design method have been shown graphically using a full documented numerical example, which highlights the efficiency of the new multi-layered frame system under high-speed impact. The advanced flexible surface-to-surface contact theory is used to model the actual initial impact force and the advanced fractional derivative damping theory is used to obtained the energy absorption characteristics of large-scale dampers used in the external frame system. The purpose of this paper is to present a new design method, which improves the resulting dynamic responses of a tall building induced by a high-speed impact of a flying object.

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Dynamic Response of a Damped Large Space Structure: A New Fractional-Spectral Approach

Cited by 26 publications

References 2 publications

Spectral Dynamic Analysis of Power Transmission Towers Using ANN Imperfection Simulator

Spectral Dynamic Analysis of Power Transmission Towers Using ANN Imperfection Simulator

Nonlinear spectral dynamic analysis of guyed towers. Part II: Manitoba towers case study

Multi‐layered energy absorber frames for tall buildings under high‐speed impact

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