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Computational Topics in Nonlinear Mo...

Marcinek, Pawel Bogdan.

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Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting./
Author:	Marcinek, Pawel Bogdan.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	207 p.
Notes:	Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
Contained By:	Dissertation Abstracts International79-12B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10784224
ISBN:	9780438184756

Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting.
Marcinek, Pawel Bogdan.

Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 207 p.

Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.

Thesis (Ph.D.)--Oakland University, 2018.

The first part of the dissertation deals with a mathematical model for the process of debonding of two adhesively bonded slabs. The second part contains the full description of an algorithm for noise reduction in signal processing and its applications.

ISBN: 9780438184756Subjects--Topical Terms:

515831
Mathematics.

Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting.
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100 1 $a Marcinek, Pawel Bogdan. $3 3429452
245 1 0 $a Computational Topics in Nonlinear Models for Debonding, Approximation of Noisy Signals and Curve Fitting.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2018
300 $a 207 p.
500 $a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
500 $a Advisers: Meir Shillor; Serge Kruk.
502 $a Thesis (Ph.D.)--Oakland University, 2018.
520 $a The first part of the dissertation deals with a mathematical model for the process of debonding of two adhesively bonded slabs. The second part contains the full description of an algorithm for noise reduction in signal processing and its applications.
520 $a Joining lightweight dissimilar materials, such as metal-to-metal or metal-to-polymer, are becoming increasingly important in the automotive and aerospace industries, as well as in others. However, the adhesive strength deteriorates due mechanical vibrations, humidity and temperature effects. This process is still not fully understood. To gain deeper understanding of the deterioration mechanism and its dynamics we constructed a mathematical model for the process of debonding of two slabs. The model consists a system of coupled partial differential equations: four dynamic equations for two rods and two beams, two diffusion equations for humidity and temperature in the adhesive layer, and a differential inclusion for the bonding field. We developed a numerical algorithm for the approximate solutions of the model, implemented it and run extensive simulations. The dissertation depicts the dynamics of the system and the deterioration of the bonding field in a number of selected simulation results.
520 $a The second part deals with the problem of extracting the noise from contaminated signal. There exist a wide variety of digital filters for noise reduction. We proposed one parametric algorithm which acts as low-pass filter. We present three numerical examples that demonstrate the behavior of the proposed algorithm. In the first example we contrasted the performance of our algorithm with the Savitzky-Golay filter, which is widely used in spectroscopy. In the second example we showed that our algorithm act as low-pass filter and we contrasted its performance with finite impulse response filter. Finally, in the third example we demonstrate the capability of the algorithm in extracting a weak smooth signal in the Raman spectra.
590 $a School code: 0446.
650 4 $a Mathematics. $3 515831
650 4 $a Materials science. $3 543314
650 4 $a Computational physics. $3 3343998
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690 $a 0794
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710 2 $a Oakland University. $b Science. $3 3352687
773 0 $t Dissertation Abstracts International $g 79-12B(E).
790 $a 0446
791 $a Ph.D.
792 $a 2018
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10784224