Evaluation of a Causal Time Domain Response from Bandlimited Frequency Domain Data

1993 ◽  
pp. 501-515 ◽  
Author(s):  
T. Sarkar ◽  
H. Wang ◽  
R. Adve ◽  
M. Moturi ◽  
M. Wicks
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Time Domain Response

scholarly journals Scattering of an Impact Wave by a Crack in a Composite Plate

1992 ◽  
Vol 59 (3) ◽  
pp. 596-603 ◽  
Author(s):  
S. K. Datta ◽  
T. H. Ju ◽  
A. H. Shah
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Impact Load ◽  
Near Field ◽  
Boundary Integral ◽  
Transition Elements ◽  
Element Discretization ◽  
Crack Tips ◽  
Time Domain Response ◽  
The Time Domain

The surface responses due to impact load on an infinite uniaxial graphite/epoxy plate containing a horizontal crack is investigated both in time and frequency domain by using a hybrid method combining the finite element discretization of the near-field with boundary integral representation of the field outside a contour completely enclosing the crack. This combined method leads to a set of linear unsymmetric complex matrix equations, which are solved to obtain the response in the frequency domain by biconjugate gradient method. The time-domain response is then obtained by using an FFT. In order to capture the time-domain characteristics accurately, high-order finite elements have been used. Also, both the six-node singular elements and eight-node transition elements are used around the crack tips to model the crack-tip singularity. From the numerical results for surface responses it seems possible to clearly identify both the depth and length of this crack.

scholarly journals Photosynthesis dynamics and regulation sensed in the frequency domain

2021 ◽  
Author(s):  
Ladislav Nedbal ◽  
Dušan Lazár
Keyword(s):  
Experimental Data ◽  
Frequency Domain ◽  
Time Domain ◽  
Fluorescence Emission ◽  
Plant Responses ◽  
Wide Range ◽  
Harmonic Modulation ◽  
Photosynthetic Regulation ◽  
Time Domain Response ◽  
Changing Light

AbstractFoundations of photosynthesis research have been established mainly by studying the response of plants to changing light, typically to sudden exposure to a constant light intensity after a dark acclimation or to light flashes. This approach remains valid and powerful, but can be limited by requiring dark acclimation prior to time-domain measurements and often assumes that rate constants determining the photosynthetic response do not change between the dark- and light-acclimation.We present experimental data and a mathematical model demonstrating that these limits can be overcome by measuring plant responses to sinusoidally modulated light of varying frequency. By its nature, such frequency domain characterization is performed in light-acclimated plants with no need for prior dark acclimation. Amplitudes, phase shifts and upper harmonic modulation extracted from the data for a wide range of frequencies can target different kinetic domains and regulatory feedbacks. The occurrence of upper harmonic modulation reflects non-linear phenomena, including photosynthetic regulation. To support these claims, we present a frequency and time domain response in chlorophyll fluorescence emission of the green alga Chlorella sorokiniana in the frequency range 1000 – 0.001 Hz. Based on these experimental data and on numerical as well as analytical mathematical models, we propose that the frequency domain measurements can become a versatile new tool in plant sensing.One sentence summaryIt is proposed to characterize photosynthesis in the frequency domain without the need for dark adaptation and, thus, without assumptions about the dark-to-light transition.

scholarly journals Determination of the response of a class of nonlinear time invariant systems

1981 ◽  
Vol 4 (3) ◽  
pp. 615-623
Author(s):  
Sudhangshu B. Karmakar
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Inverse Laplace Transform ◽  
New Approach ◽  
Functional Expansion ◽  
Expansion Time ◽  
Time Domain Response ◽  
The Time Domain ◽  
Time Invariant

This paper illustrates by means of a simple example a new approach for the determination of the time domain response of a class of nonlinear systems. The system under investigation is assumed to be described by a nonlinear differential equation with forcing term. The response of the system is first obtained in terms of the input in the form of a Volterra functional expansion. Each of the components in the expansion is first transformed into a multidimensional frequency domain and then to a single dimensional frequency domain by the technique of association of variables. By taking into consideration the conditions for the rapid convergence of the functional expansion the response of the system in the frequency domain can effectively be obtained by taking only the first few terms of the expansion. Time domain response is then found by inverse Laplace transform.

Approximate Structural Response Characterization Using Parametric and Envelope Models for Multimodal Systems

1986 ◽  
Vol 108 (1) ◽  
pp. 39-43
Author(s):  
P. Davies ◽  
J. K. Hammond
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Structural Response ◽  
Parametric Models ◽  
Response Signal ◽  
Response Characteristics ◽  
Multimodal Systems ◽  
Time Domain Response ◽  
The Time Domain

In the study of the response of systems to an excitation there are circumstances when it is desirable to obtain some overall or average characterization of the system and its response rather than a detailed description. In this paper two methods are used to describe the overall features of the system: one appropriate for the frequency domain and one for the time domain. For modally dense systems the main features of the frequency response function are described in terms of low-order parametric models. While these models may be adequate for the frequency domain representation, they may not produce a good approximation to the response of the system in the time domain. The second approach relates the envelope of the input signal to the envelope of the response signal, in order to describe the overall time domain response characteristics.

The Application of Adaptive Canceling in Chaos Identification

2003 ◽  
Author(s):  
Shuyong Liu ◽  
Shijian Zhu ◽  
Zhenming Liu ◽  
Weiian Qian
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Chaotic Signal ◽  
Lms Algorithm ◽  
Measuring System ◽  
Adaptive Technique ◽  
Time Domain Response ◽  
The Time Domain

The time domain response of a system is inevitably contaminated by noise arising from the environment as well as the measuring system itself. So an effective method is needed to reduce the noise components. The characteristic of the chaotic signal and noise in the frequency domain is analyzed. An adaptive canceling system based on the LMS algorithm is applied to process the contaminated signal. The simulation result shows that the adaptive technique can meet the goal.

scholarly journals Optimization of frequency domain impedances for time-domain response analyses of building structures with rigid shallow foundations

2021 ◽  
pp. 875529302098199
Author(s):  
Danilo S Kusanovic ◽  
Elnaz Seylabi ◽  
Domniki Asimaki
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Time Domain ◽  
Rigid Base ◽  
Building Structures ◽  
Flexible Base ◽  
Soil Foundation ◽  
Time Domain Response ◽  
Impedance Functions ◽  
Soil Impedance

The effects of dynamic soil–structure interaction (SSI) have been extensively studied in the last few decades, and proper analysis for the linear elastic case in frequency domain has been established successfully. However, SSI is rarely considered in the design of building structures, and instead, buildings are frequently analyzed using a rigid base assumption and quasi-static loading conditions that ignore SSI and its dynamic nature. Acknowledging these shortcomings, the National Institute of Standards and Technology (NIST) published in 2012 a set of recommendations on time-domain analyses of SSI for building structures compatible with standard finite element packages for consideration in engineering design. The so-called NIST GCR 12-917-21 report introduced a major simplification to enable frequency domain tools to be implemented in time domain analyses. That is, replacing the frequency-dependent soil impedance functions by a single-valued functions read at the flexible-base structure frequency; This work seeks to quantify the accuracy of this simplification considering fully coupled two-dimensional (2D) finite element models (FEM) as the reference. Using a Bayesian approach based on ensemble Kalman inversion (EnKI) and a range of numerical simulations of soil–foundation–building interaction, we estimate the optimal frequency that can be used to estimate soil impedance for time domain analyses; and we evaluate the improvement that the corresponding impedance offers relative to the full FEM results when compared to time domain analyses performed in accordance to the NIST recommendations outlined above.

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