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Transfer function

About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.


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Journal ArticleDOI
TL;DR: In this paper, a coherence approach is developed for locating the damage position when the structural damage is observed, which has the advantage of using the proposed algorithm for practical applications for damage detection.
Abstract: A novel approach is presented for damage detection of large flexible structures by using the parameter change of the transfer function. First, an interval modeling technique, which represents the system uncertainty under the environmental change via the intervals of transfer function parameters, is used to distinguish the structural damage from the environmental change. In this paper a coherence approach is developed for locating the damage position when the structural damage is observed. Only a few sensors are required in using the proposed coherence approach for damage detection. This has the advantage of using the proposed algorithm for practical applications. Also this approach has the flexibility of using the multi-input and multi-output system. A nine-bay truss example is used to demonstrate and verify the approach developed. Nomenclature a, b = denominator and numerator parameters of transfer function C = coherence of the tested system to damage G = interval model g = transfer function k = number of modes m = number of outputs n = number of tests for environmental change p = parameter vector of transfer function R = magnitude ratio of the tested system to damage R, JR = magnitude ratio bounds W = weight of parameter change Wa, W}} = weights of intervals for interval model x,y = unit vectors of Cartesian coordinate system Ap = parameter change vector Superscripts

88 citations

Journal ArticleDOI
TL;DR: In this article, a theoretically exact relation between the Fourier amplitude spectrum and the elastic input energy spectrum is presented, which opens the door for a better understanding of the relationship between the input-energy spectrum and other seismological variables, such as magnitude and focal distance.
Abstract: A theoretically exact relation is presented between the Fourier amplitude spectrum and the elastic input-energy spectrum. This energy spectrum is computed from the Fourier acceleration amplitude spectrum and the real part of the relative velocity transfer function of the single-degree-of-freedom elastic oscillator. Some accelerometric records collected worldwide are used to prove the solution. It is shown that the relation presented in this work opens the door for a better understanding of the relationship between the input-energy spectrum and other seismological variables, such as magnitude and focal distance. Copyright © 2003 John Wiley & Sons, Ltd.

88 citations

Journal ArticleDOI
TL;DR: In this paper, the authors used the transfer function of a piezoelectric transducer, buffer rod and sample assembly to measure the sound velocity of solid materials, and obtained the time delay by performing pulse echo overlap and phase comparison measurements on reproduced signals.
Abstract: The transfer function of a piezoelectric transducer, buffer rod and sample assembly is used to measure the sound velocity of solid materials. From the recorded transfer function, pulse echo patterns at frequencies of the passband of the input signal are reproduced after convoluting with monochromatic RF input signals. The time delay is obtained by performing pulse echo overlap and phase comparison measurements on reproduced signals. Results for a single crystal of MgO along the [100] direction from this study are in good agreement with previous measurements but have the advantage of offline data analysis and fast data acquisition.

88 citations

Journal ArticleDOI
TL;DR: In this paper, a method for determining the exact solution to a set of first-order differential equations when the inputs are modeled by a continuous, piecewise linear curve is presented, which is more efficient than Euler, Crank-Nicolson, or other classical techniques.
Abstract: Finite difference or finite element methods reduce transient multidimensional heat transfer problems into a set of first-order differential equations when thermal physical properties are time invariant and the heat transfer processes are linear. This paper presents a method for determining the exact solution to a set of first-order differential equations when the inputs are modeled by a continuous, piecewise linear curve. For long-time solutions, the method presented is more efficient than Euler, Crank-Nicolson, or other classical techniques.

88 citations

Journal ArticleDOI
Ömer Morgül1
TL;DR: It is shown that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable and may be possible to attenuate the effect of the disturbance at the output if the authors choose the controller transfer function appropriately.
Abstract: We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is a proper rational function of the complex variable and may contain a single pole at the origin and a pair of complex conjugate poles on the imaginary axis, provided that the residues corresponding to these poles are nonnegative; the rest of the transfer function is required to be a strictly positive real function. We then show that depending on the location of the pole on the imaginary axis, the closed-loop system is asymptotically stable. We also consider the case where the output of the controller is corrupted by a disturbance and show that it may be possible to attenuate the effect of the disturbance at the output if we choose the controller transfer function appropriately. We also present some numerical simulation results which support this argument.

88 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023351
2022810
2021329
2020421
2019461
2018493