Relevant bibliographies by topics / Secant Linear System

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Secant Linear System'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Secant Linear System"

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Sunandar, Endang, and Indrianto Indrianto. "Perbandingan Metode Newton-Raphson & Metode Secant Untuk Mencari Akar Persamaan Dalam Sistem Persamaan Non-Linier." PETIR 13, no. 1 (2020): 72–79. http://dx.doi.org/10.33322/petir.v13i1.893.

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The numerical method is a technique used to formulate mathematical problems so that it can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytic methods. In the Numerical Method, we recognize two types of systems of equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the Linear Equation System between methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposition
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Zhou, Wenjie, Xuesong Wei, Leqin Wang, and Guangkuan Wu. "A superlinear iteration method for calculation of finite length journal bearing's static equilibrium position." Royal Society Open Science 4, no. 5 (2017): 161059. http://dx.doi.org/10.1098/rsos.161059.

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Solving the static equilibrium position is one of the most important parts of dynamic coefficients calculation and further coupled calculation of rotor system. The main contribution of this study is testing the superlinear iteration convergence method—twofold secant method, for the determination of the static equilibrium position of journal bearing with finite length. Essentially, the Reynolds equation for stable motion is solved by the finite difference method and the inner pressure is obtained by the successive over-relaxation iterative method reinforced by the compound Simpson quadrature fo
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Bakushev, Sergey V. "Differential equations of continuum equilibrium for plane deformation in cartesian axials at biquadratic approximation of closing equations." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 76 (2022): 70–86. http://dx.doi.org/10.17223/19988621/76/6.

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The subject under analysis is construction of differential equations of equilibrium in displacements for plane deformation of physically and geometrically nonlinear continuous media when the closing equations are biquadratically approximated in a Cartesian rectangular coordinate system. Proceeding from the assumption that, generally speaking, the diagrams of volume and shear deformation are independent from each other, six main cases of physical dependences are considered, depending on the relative position of the break points of biquadratic diagrams of volume and shear deformation. Constructi
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Kryvoruchko, I. P. "Piecewise Linear Approximation of Smooth, Flat Curves by the Secant Method." Èlektronnoe modelirovanie 44, no. 5 (2022): 51–60. http://dx.doi.org/10.15407/emodel.44.05.051.

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The approximation of smooth lines by a piecewise linear function is relevant in many applications, where this representation can significantly simplify the technological process without a significant loss in quality indicators. An improved method of dividing or representing a smooth curve by a piecewise linear line is proposed, which, in comparison with dividing by the "chord" method, reduces the degree of difference between the approximated and approximating curves for the selected number of segments. The essence of the method consists in the successive point-by-point calculation of the devia
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Syed Abdul Nasir, Sharifah Noha Zahirah, Nurul Ain Ab Wahab, and Mohd Agos Salim Nasir. "Graphical User Interface for Solving Non-Linear Equations for Undergraduate Students." International Journal of Advanced Research in Future Ready Learning and Education 30, no. 1 (2023): 25–34. http://dx.doi.org/10.37934/frle.30.1.2534.

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Solving non-linear equations problems for root-finding is more challenging rather than linear equations problems. Generally, this is because it cannot be solved by using the standard formula. The numerical method is one of the ways that can be applied, consisting of an iterative procedure. A simulator named Root Calculator to Solve Non-Linear Equations was developed, where it is a graphical user interface (GUI) system that can be used to approximate the root based on the equation and interval given. Four methods were chosen which are the Graphical Method, the Bisection Method, Newton’s Method,
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Sunandar, Endang. "Penyelesaian Sistem Persamaan Non-Linier Dengan Metode Bisection & Metode Regula Falsi Menggunakan Bahasa Program Java." PETIR 12, no. 2 (2019): 179–86. http://dx.doi.org/10.33322/petir.v12i2.490.

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The numerical method is a technique used to formulate mathematical problems so that they can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytical methods. In the Numerical Method, we know two types of system equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the System, the Linear Equation between the methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposi
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Xue, Guangming, Hongbai Bai, Tuo Li, Zhiying Ren, Xingxing Liu, and Chunhong Lu. "Numerical Solving Method for Jiles-Atherton Model and Influence Analysis of the Initial Magnetic Field on Hysteresis." Mathematics 10, no. 23 (2022): 4431. http://dx.doi.org/10.3390/math10234431.

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The Jiles-Atherton model was widely used in the description of the system with hysteresis, and the solution for the model was important for real-time and high-precision control. The secant method was used for solving anhysteretic magnetization and its initial values were optimized for faster convergence. Then, the Fourth Order Runge-Kutta method was employed to solve magnetization and the required computation cycles were supplied for stable results. Based on the solving method, the effect of the nonzero initial magnetic field on the magnetization was discussed, including the commonly used line
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Montoya Alba, David Esteban, Jhonatan Mcniven Cagua Herrera, and Gustavo Adolfo Puerto Leguizam´ón. "Design of a flattening filter using Fiber Bragg Gratings for EDFA gain equalization: an artificial neural network application." Ciencia e Ingeniería Neogranadina 29, no. 2 (2019): 25–36. http://dx.doi.org/10.18359/rcin.3818.

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 This paper presents a proposal for the non-uniform gain compensation of an Erbium-doped fiber optic amplifier (EDFA) in a Wavelength Division Multiplexed (WDM) system using Fiber Bragg Gratings (FBG). In this proposal, the multilayer perceptron feed-forward artificial neural network with backpropagation was trained under the secant method (one-step secant) and was selected according to mean square error measurement. The proposal optimizes FBG parameters such as center frequency, rejection level and length in order to determine a filtering response based on a reduced number
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Бакушев, С. В. "DIFFERENTIAL EQUILIBRIUM EQUATIONS IN IDEAL ELASTIC-PLASTIC CONTINUOUS MEDIUM FOR PLANE DEFORMATION IN CARTESIAN COORDINATES AT APPROXIMATION OF CLOSING EQUATIONS BY BIQUADRATIC FUNCTIONS." Stroitelʹnaâ mehanika i konstrukcii, no. 2(33) (June 16, 2022): 40–52. http://dx.doi.org/10.36622/vstu.2022.33.2.004.

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Постановка задачи. Рассматривается построение дифференциальных уравнений равновесия в перемещениях идеально упругопластической в отношении сдвиговых деформаций геометрически и физически нелинейной сплошной среды для плоского деформирования при биквадратичной аппроксимации замыкающих уравнений в декартовой прямоугольной системе координат. Построение физических зависимостей при этом основано на вычислении секущих модулей объёмного и сдвигового деформирования. Результаты. Исходя из предположения о независимости друг от друга диаграмм объёмного и сдвигового деформирования, рассмотрены пять основны
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Liu, Peng, Sheng Dong Liu, Zhneg Zhao, and Jia Qi Liu. "Modeling and Control for a Small UAV Helicopter." Applied Mechanics and Materials 532 (February 2014): 70–73. http://dx.doi.org/10.4028/www.scientific.net/amm.532.70.

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A frequency identification modeling method for a small UAV helicopter and its control system design is presented. A modified frequency identification method for a state-space model of helicopter is presented. The overall concept is to extract a complete set of non-parametric input-to-output frequency responses that fully characterizes the coupled helicopter dynamics, conduct a nonlinear search based on secant method for a linear state-space model that matches the frequency-response data set. The accuracy of the identified model is verified by flight experiments. A path following controller is
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Dissertations / Theses on the topic "Secant Linear System"

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Abuhamdia, Tariq Maysarah. "Wavelets Based on Second Order Linear Time Invariant Systems, Theory and Applications." Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/85439.

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This study introduces new families of wavelets. The first is directly derived from the response of Second Order Underdamped Linear-Time-Invariant (SOULTI) systems, while the second is a generalization of the first to the complex domain and is similar to the Laplace transform kernel function. The first takes the acronym of SOULTI wavelet, while the second is named the Laplace wavelet. The most important criteria for a function or signal to be a wavelet is the ability to recover the original signal back from its continuous wavelet transform. It is shown that it is possible to recover back the or
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Bruschetta, Mattia. "A variational integrators approach to second order modeling and identification of linear mechanical systems." Doctoral thesis, Università degli studi di Padova, 2011. http://hdl.handle.net/11577/3421654.

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The identication of linear second order models of mechanical systems has been object of intensive research and of several papers in the last decades. In this thesis the interest is focused on mechanical systems which can be described by the classical second order vector model defined by the generalized stiffness K, damping D, and inerzia M. All current identication techniques operate in discrete time. Noisy data obtained by sampling the system must be used to stimate the continuous time physical parameters M;K and D. Since identication operates in discrete time one needs to convert the discre
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Dzacka, Charles Nunya. "A Variation of the Carleman Embedding Method for Second Order Systems." Digital Commons @ East Tennessee State University, 2009. https://dc.etsu.edu/etd/1877.

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The Carleman Embedding is a method that allows us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential equations, it is difficult to use the Carleman Embedding method. This project will examine the Carleman Embedding and a variation of the method which is very convenient in applying to second order systems of nonlinear equations.
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Scheunert, Christian. "Über die Modellierung und Simulation zufälliger Phasenfluktuationen." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2011. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-64272.

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Nachrichtentechnische Systeme werden stets durch unvermeidbare zufällige Störungen beeinflußt. Neben anderen Komponenten sind davon besonders Oszillatoren betroffen. Die durch die Störungen verursachten zufälligen Schwankungen in der Oszillatorausgabe können als Amplituden- und Phasenabweichungen modelliert werden. Dabei zeigt sich, daß vor allem zufällige Phasenfluktuationen von Bedeutung sind. Zufällige Phasenfluktuationen können unter Verwendung stochastischer Prozesse zweiter Ordnung mit kurzem oder langem Gedächtnis modelliert werden. Inhalt der Dissertation ist die Herleitung eines Verf
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Bernstein, David. "Entwurf einer fehlerüberwachten Modellreduktion basierend auf Krylov-Unterraumverfahren und Anwendung auf ein strukturmechanisches Modell." Master's thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-151975.

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Die FEM-MKS-Kopplung erfordert Modellordnungsreduktions-Verfahren, die mit kleiner reduzierter Systemdimension das Übertragungsverhalten mechanischer Strukturen abbilden. Rationale Krylov-Unterraum-Verfahren, basierend auf dem Arnoldi-Algorithmen, ermöglichen solche Abbildungen in frei wählbaren, breiten Frequenzbereichen. Ziel ist der Entwurf einer fehlerüberwachten Modelreduktion auf Basis von Krylov-Unterraumverfahren und Anwendung auf ein strukturmechanisches Model. Auf Grundlage der Software MORPACK wird eine Arnoldi-Funktion erster Ordnung um interpolativen Startvektor, Eliminierung der
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Tahoumi, Elias. "New robust control schemes linking linear and sliding mode approaches." Thesis, Ecole centrale de Nantes, 2019. http://www.theses.fr/2019ECDN0056.

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Ce travail de thèse porte sur la conception des lois de commande pour des systèmes non linéaires, incertains et perturbés; ces lois de commande sont basées à la fois sur des approches par mode glissant, et sur des techniques linéaires. Les commandes par mode glissant (notamment d’ordre supérieur) sont connues pour leur robustesse face aux perturbations et incertitudes ainsi que pour leurs performances en terme de précision. Cependant, elles sont énergivores. Le retour d’état linéaire est connu pour être une commande lisse et à faible consommation d’énergie, mais il est très sensible aux pertur
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Rocha, Eugénio Alexandre Miguel. "Uma Abordagem Algébrica à Teoria de Controlo Não Linear." Doctoral thesis, Universidade de Aveiro, 2003. http://hdl.handle.net/10773/21444.

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Doutoramento em Matemática<br>Nesta tese de Doutoramento desenvolve-se principalmente uma abordagem algébrica à teoria de sistemas de controlo não lineares. No entanto, outros tópicos são também estudados. Os tópicos tratados são os seguidamente enunciados: fórmulas para sistemas de controlo sobre álgebras de Lie livres, estabilidade de um sistema de corpos rolantes, algoritmos para aritmética digital, e equações integrais de Fredholm não lineares. No primeiro e principal tópico estudam-se representações para as soluções de sistemas de controlo lineares no controlo. As suas trajetórias
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Kim, Jae-Hak, and Jae-Hak Kim@anu edu au. "Camera Motion Estimation for Multi-Camera Systems." The Australian National University. Research School of Information Sciences and Engineering, 2008. http://thesis.anu.edu.au./public/adt-ANU20081211.011120.

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The estimation of motion of multi-camera systems is one of the most important tasks in computer vision research. Recently, some issues have been raised about general camera models and multi-camera systems. Using many cameras as a single camera is studied [60], and the epipolar geometry constraints of general camera models is theoretically derived. Methods for calibration, including a self-calibration method for general camera models, are studied [78, 62]. Multi-camera systems are an example of practically implementable general camera models and they are widely used in many applications nowaday
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Baskar, Ashish Guhan, and Araavind Sridhar. "Short Term Regulation in Hydropower Plants using Batteries : A case study of hydropower pants in lower Oreälven river." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-289407.

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Hydropower is one of the oldest renewable energy (RE) sources and constitutes a major share in the Swedish electricity mix. Though hydropower is renewable, there exist some issues pertaining to the local aquatic conditions. With more environmental laws being implemented, regulating the use and management of water is jeopardizing the flexibility of hydropower plants. The decided national plan for new environmental conditions in Sweden is expected to start being implemented in 2025 and more restrictions are expected. Analysing a battery energy storage system's capabilities plants may improve fle
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Lin, Hsiao-Hsuan, and 林筱旋. "Secret Sharing by Linear Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/71262958583303593109.

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碩士<br>臺北市立教育大學<br>資訊科學系碩士班<br>99<br>Secret sharing is an elegant approach for safeguarding information. Since the first schemes invented by Shamir and Blakley independently in 1979, the research of secret sharing has attracted much attention. Skills including polynomial interpolation by Shamir, finite geometries by Blakley and combinatorial designs by Schellenberg and Stinson (1989), to name a few, are so classical that inspire many researchers in this research area. In this thesis, we intend to explore the feasibilities of the constructions of secret sharing schemes in threshold and general a
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Books on the topic "Secant Linear System"

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Deuflhard, P. Fast secant methods for the interative solution of large nonsymmetric linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1990.

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Chemodurov, Vladimir, and Ella Litvinova. Physical and mathematical modeling of building systems. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014191.

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Physical and mathematical modeling is widely used in scientific research. This is due to the fact that field experiments on real construction sites are often impossible to organize for various reasons. The material included in the textbook is a summary of the authors ' experience in the field of system analysis. In the first section, the regularities of physical modeling of the functioning of objects based on the similarity and dimension theorems are considered. The second section presents modern models and methods for choosing optimal solutions: linear, nonlinear, stochastic, and statistical.
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Zhukova, Galina. Differential equations: examples and tasks. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072182.

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To master the skills of solving examples and problems of the course "Ordinary differential equations" proposed a cycle of workshops covering the topics: differential equations of first, second, n-th orders; systems of linear differential equations; integration of initial and boundary value problems; stability theory. Given the large number of examples and tasks for independent operation with answers. This sample tests with solutions and analysis.&#x0D; It is recommended that teachers, postgraduates and students of higher educational institutions studying differential equations.
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1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. American Mathematical Society, 2011.

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Linear and Quasilinear Parabolic Systems: Sobolev Space Theory. American Mathematical Society, 2021.

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Tretkoff, Paula. Appell Hypergeometric Functions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0008.

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This chapter discusses the complete quadrilateral line arrangement, and especially its relationship with the space of regular points of the system of partial differential equations defining the Appell hypergeometric function. Appell introduced four series F1, F2, F3, F4 in two complex variables, each of which generalizes the classical Gauss hypergeometric series and satisfies its own system of two linear second order partial differential equations. The solution spaces of the systems corresponding to the series F2, F3, F4 all have dimension 4, whereas that of the system corresponding to the ser
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Lectures on linear partial differential equations. American Mathematical Society, 2011.

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Marchington, Mick. Employee Voice Systems. Edited by Peter Boxall, John Purcell, and Patrick M. Wright. Oxford University Press, 2009. http://dx.doi.org/10.1093/oxfordhb/9780199547029.003.0012.

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Employee voice appears to be the latest in a long line of terms used to describe employment practices designed to allow workers some ‘say’ in how their organizations are run; previous variants include worker participation, industrial democracy, employee involvement, and empowerment. The term is rarely defined precisely, and voice tends to incorporate HR practices of both a direct and an indirect form, in unionized and non-union settings, and in task-related and off-line teams. This article first develops a framework within which different forms of voice can be considered. Second, it discusses
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Zeitlin, Vladimir. Rotating Shallow-Water Models as Quasilinear Hyperbolic Systems, and Related Numerical Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0007.

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The chapter contains the mathematical background necessary to understand the properties of RSW models and numerical methods for their simulations. Mathematics of RSW model is presented by using their one-dimensional reductions, which are necessarily’one-and-a-half’ dimensional, due to rotation and include velocity in the second direction. Basic notions of quasi-linear hyperbolic systems are recalled. The notions of weak solutions, wave breaking, and shock formation are introduced and explained on the example of simple-wave equation. Lagrangian description of RSW is used to demonstrate that rot
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Deruelle, Nathalie, and Jean-Philippe Uzan. Gravitational radiation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0054.

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This chapter attempts to calculate the radiated energy of a source in the linear approximation of general relativity to infinity in the lowest order. For this, the chapter first expands the Einstein equations to quadratic order in metric perturbations. It reveals that the radiated energy is then given by the (second) quadrupole formula, which is the gravitational analog of the dipole formula in Maxwell theory. This formula is a priori valid only if the motion of the source is due to forces other than gravity. Finally, this chapter shows that, to prove this formula for the case of self-gravitat
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Book chapters on the topic "Secant Linear System"

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Beffa, Federico. "Introduction." In Weakly Nonlinear Systems. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40681-2_1.

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AbstractNonlinear systems are everywhere, yet most engineering curricula devote very little time, if any, to them. The reason is twofold: first of all, there is no general theory describing arbitrary nonlinear systems. Second, the theory of linear systems is effective in facilitating the design of many real-world systems. In fact, for sufficiently small input signals, the behaviour of most nonlinear systems can be approximated by a linear model. As a consequence the majority of engineered systems are designed based on linear system theory and their usability is limited in one way or another by
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Zhu, Shaowei, and Zachary Kincaid. "Reflections on Termination of Linear Loops." In Computer Aided Verification. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81688-9_3.

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AbstractThis paper shows how techniques for linear dynamical systems can be used to reason about the behavior of general loops. We present two main results. First, we show that every loop that can be expressed as a transition formula in linear integer arithmetic has a best model as a deterministic affine transition system. Second, we show that for any linear dynamical system f with integer eigenvalues and any integer arithmetic formula G, there is a linear integer arithmetic formula that holds exactly for the states of f for which G is eventually invariant. Combining the two, we develop a mono
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He, Zeng, Wen Jiang, and Lin Wang. "Continuous Systems." In Solved Problems in Nonlinear Oscillations. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-6113-5_7.

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Bak, Stanley, Sergiy Bogomolov, Brandon Hencey, Niklas Kochdumper, Ethan Lew, and Kostiantyn Potomkin. "Reachability of Koopman Linearized Systems Using Random Fourier Feature Observables and Polynomial Zonotope Refinement." In Computer Aided Verification. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13185-1_24.

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AbstractKoopman operator linearization approximates nonlinear systems of differential equations with higher-dimensional linear systems. For formal verification using reachability analysis, this is an attractive conversion, as highly scalable methods exist to compute reachable sets for linear systems. However, two main challenges are present with this approach, both of which are addressed in this work. First, the approximation must be sufficiently accurate for the result to be meaningful, which is controlled by the choice of observable functions during Koopman operator linearization. By using r
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Cacuci, Dan Gabriel. "The 2nd-ASAM for Linear Systems." In The Second-Order Adjoint Sensitivity Analysis Methodology. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315120270-3.

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Agarwal, Ravi P., Said R. Grace, and Donal O’Regan. "Oscillation Results for Differential Systems." In Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-2515-6_7.

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Mehta, Sanyam, and Vishal Saraswat. "Linear Secret Sharing Schemes with Finer Access Structure." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8061-1_15.

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Gonzalez-Mora, Jose, Nicolas Guil, and Emilio L. Zapata. "Tracking of Linear Appearance Models Using Second Order Minimization." In Advanced Concepts for Intelligent Vision Systems. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11864349_91.

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Feigelman, Justin, Daniel Weindl, Fabian J. Theis, Carsten Marr, and Jan Hasenauer. "LNA++: Linear Noise Approximation with First and Second Order Sensitivities." In Computational Methods in Systems Biology. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99429-1_19.

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Walrand, Jean. "Tracking—A." In Probability in Electrical Engineering and Computer Science. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-49995-2_9.

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AbstractThis chapter explains how to estimate an unobserved random variable or vector from available observations. This problem arises in many examples, as illustrated in Sect. 9.1. The basic problem is defined in Sect. 9.2. One commonly used approach is the linear least squares estimate explained in Sect. 9.3. A related notion is the linear regression covered in Sect. 9.4. Section 9.5 comments on the problem of overfitting. Sections 9.6 and 9.7 explain the minimum means squares estimate that may be a nonlinear function of the observations and the remarkable fact that it is linear for jointly
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Conference papers on the topic "Secant Linear System"

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Jiang, Ruimin, Zeyuan Wang, Xinjie Zhou, and Min Zhou. "Robust Mean and Variance Control for Second-Order Linear Uncertain Systems." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10661593.

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Torii, Takao, Nobuyoshi Morita, and Kimihiko Yasuda. "Numerical Integration Method to Determine Periodic Solutions of Nonlinear Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84529.

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A new method to obtain periodic solution of nonlinear systems is proposed by combining secant method with numerical integration. This method can be applied to nonlinear systems with discontinuous characteristics without special treatment. To check the validity of the proposed method, we applied this method to nonlinear systems with discontinuous characteristics, such as piecewise linear spring system, system with Coulomb’s friction and impact damper system. Comparing the results by the proposed method with the results by simple numerical integration or experimental results, the validity of the
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Heredia-Zavoni, Ernesto, Antonio Zeballos, Roberto Montes-Iturrizaga, and Luis Esteva. "Bayesian Estimation of Cumulative Damage From Seismic Response Records of Buildings." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21413.

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Abstract This paper discusses the estimation of probability distributions of damage using response records from instrumented buildings subjected to seismic excitations. The objective of the paper is to show how the information on the evolution of the mechanical properties of a system can be used to assess the state of cumulative damage. This implies expressing damage on the structural members in terms of its influence on the residual mechanical properties of the system. The information on the inelastic behavior from response records is used in a bayesian formulation along with a damage functio
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Lyublinskiy, Valery. "Stress-Strain State Multistory Buildings and Stiffness Shear Bonds." In The 13th International Conference on Contemporary Problems of Architecture and Construction. Trans Tech Publications Ltd, 2022. http://dx.doi.org/10.4028/p-gez359.

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The paper considers issues the nonlinear behavior of shear bonds affecting the changes in the distribution of stresses and strains in vertical structures, as well as to compare these stresses and strains with the linear statement of the problem solution in which the compliance of the bonds is constant. In a complex multiconnected system of the multistory building, the new redistribution of stresses arises, which does not coincide with the original distribution of stresses. To correct the stiffness value for the bonds, the experimental data of MGSU were used. A secant module was used to determi
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Wu, Haidong, Xiang Long, and Dang Lu. "Trajectory Planning and Tracking for Four-Wheel Independent Drive Intelligent Vehicle Based on Model Predictive Control." In WCX SAE World Congress Experience. SAE International, 2023. http://dx.doi.org/10.4271/2023-01-0752.

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&lt;div class="section abstract"&gt;&lt;div class="htmlview paragraph"&gt;This paper proposes a dynamic obstacle avoidance system to help autonomous vehicles drive on high-speed structured roads. The system is mainly composed of trajectory planning and tracking controllers. The potential field (PF) model is introduced to establish a three-dimensional potential field for structured roads and obstacle vehicles. The trajectory planning problem that considers the vehicle’s and tires’ dynamics constraints is transformed into an optimization problem with muti-constraints by combining the model predi
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Radisavljevic, Verica, and Dobrila Skataric. "Exact Decoupling of Non-Classically Damped Matrix Second-Order Linear Mechanical Systems." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13056.

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Matrix second-order damped linear dynamic systems are frequently encountered in mechanical, structural, civil, aerospace engineering, and related fields. This class of systems is also obtained by approximating dynamics of systems described by partial differential equations (distributed parameter systems). There are many papers in the engineering literature on analysis and control of matrix second-order linear damped systems. They provide either approximate (simplified) analytical results or accurate numerical results (usually computationally involved). In this paper, we show how to decouple ex
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Cilenti, Lautaro, Akobuije Chijioke, Nicholas Vlajic, and Balakumar Balachandran. "Error Quantification in Dynamic Applications of Weakly Nonlinear Transducers." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22137.

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Abstract Characterization and quantification of dynamic measurements is an ongoing area of research in the metrological community, as new calibration methods are being developed to address dynamic measurement applications. In the development undertaken to date, one largely assumes that nominally linear transducers can be used with linear assumptions in deconvolution of the input from the response and in system identification. To quantify the errors that arise from these assumptions, in this article, the effects of weak nonlinearities in transducers that are assumed to behave linearly during dy
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Basher, Hasanul A. "Linear model following control of mismatched uncertain systems." In Southeastcon 2008. IEEE, 2008. http://dx.doi.org/10.1109/secon.2008.4494303.

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Farret, Juliane Ritzel, Emerson Isaias da Silva, Lucas Vizzotto Bellinaso, and Rodrigo Varella Tambara. "Educational Linear Systems Emulation Platform." In Seminar on Power Electronics and Control (SEPOC 2022). sepoc, 2022. http://dx.doi.org/10.53316/sepoc2022.028.

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In the field of engineering and exact sciences, there is a constant demand for experimental verification of control strategies, and modulation schemes, among other aspects. For this reason, undergraduate laboratory classes should have modern approaches to control systems education using simulations and experiments to facilitate the learning process. This paper presents the development of a low-cost hardware-in-the-loop platform for linear system emulation. The platform is an AD-DA system that simulates mathematical models in discrete time. The project consists of software and hardware elements
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Carvalho, João Batista Da Paz, and Julio Cesar Claeyssen. "Refining natural frequencies of linear second-order vibrating systems." In DINCON 2015 – Conferência Brasileira de Dinâmica, Controle e Aplicações. SBMAC, 2016. http://dx.doi.org/10.5540/03.2016.004.01.0040.

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Reports on the topic "Secant Linear System"

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Young, D. M., and D. R. Kincaid. Linear stationary second-degree methods for the solution of large linear systems. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/674848.

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Emiliano, Diaz, and Jaspreet Singh. From linear insights to systemic solutions: the future of behavioral science. Busara, 2024. https://doi.org/10.62372/cesi7494.

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Behavioral Science has traditionally focused on understanding and influencing human behavior by identifying factors driving specific and directly related decisions. This linear approach, simplifies complex scenarios into isolated variables, and has provided the foundational insights for developing targeted interventions. While this perspective has proven effective in many cases, it may only sometimes fully capture the broader context in which behaviors occur, as a linear understanding alone is insufficient to grasp the complexities of human behavior fully. It misses important considerations li
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Riveros, Guillermo, Felipe Acosta, Reena Patel, and Wayne Hodo. Computational mechanics of the paddlefish rostrum. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41860.

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Purpose – The rostrum of a paddlefish provides hydrodynamic stability during feeding process in addition to detect the food using receptors that are randomly distributed in the rostrum. The exterior tissue of the rostrum covers the cartilage that surrounds the bones forming interlocking star shaped bones. Design/methodology/approach – The aim of this work is to assess the mechanical behavior of four finite element models varying the type of formulation as follows: linear-reduced integration, linear-full integration, quadratic-reduced integration and quadratic-full integration. Also presented i
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Garceau, Sean. PR-283-20207-R01 Field Trial of Solar Turbines Methane Emissions Reduction Solution for Gas Compressors. Pipeline Research Council International, Inc. (PRCI), 2022. http://dx.doi.org/10.55274/r0012230.

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The Methane Emissions Reduction solution designed by Solar Turbines was installed and evaluated at the Berkshire Hathaway Energy (Dominion) Chambersburg station in Pennsylvania, USA. Solar Turbines supplied a dry seal recompression (DSR) system and a process vent recompression (PVR) system at the station. The objective of the field trial was to evaluate the durability of this new system, compare the performance in the field to simulation models and as needed make improvements to the mechanical design and/or software control. The dry gas seal recompression system was installed and connected to
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Baader, Franz, and Marcel Lippmann. Runtime Verification Using a Temporal Description Logic Revisited. Technische Universität Dresden, 2014. http://dx.doi.org/10.25368/2022.203.

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Formulae of linear temporal logic (LTL) can be used to specify (wanted or unwanted) properties of a dynamical system. In model checking, the system’s behaviour is described by a transition system, and one needs to check whether all possible traces of this transition system satisfy the formula. In runtime verification, one observes the actual system behaviour, which at any point in time yields a finite prefix of a trace. The task is then to check whether all continuations of this prefix to a trace satisfy (violate) the formula. More precisely, one wants to construct a monitor, i.e., a finite au
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Singh, Surya V., and Aaron I. Thronas. Second Line of Defense Virtual Private Network Guidance for Deployed and New CAS Systems. Office of Scientific and Technical Information (OSTI), 2010. http://dx.doi.org/10.2172/1023133.

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Searcy, Stephen W., and Kalman Peleg. Adaptive Sorting of Fresh Produce. United States Department of Agriculture, 1993. http://dx.doi.org/10.32747/1993.7568747.bard.

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This project includes two main parts: Development of a “Selective Wavelength Imaging Sensor” and an “Adaptive Classifiery System” for adaptive imaging and sorting of agricultural products respectively. Three different technologies were investigated for building a selectable wavelength imaging sensor: diffraction gratings, tunable filters and linear variable filters. Each technology was analyzed and evaluated as the basis for implementing the adaptive sensor. Acousto optic tunable filters were found to be most suitable for the selective wavelength imaging sensor. Consequently, a selectable wave
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Rahai, Hamid, and Jeremy Bonifacio. Virus Control Aboard a Commuter Bus. Mineta Transporation Institute, 2023. http://dx.doi.org/10.31979/mti.2023.2248.

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A major health concern for public transit users is exposure to viruses from other passengers. This numerical study examines virus containment aboard a public bus with changes to the bus ventilation system. The virus was modeled as a 2.5 µm round solid particle released from the mouth of the infectious passenger at a rate of 21 particles per second at a mouth velocity of 0.278 m/sec. The air delivery to the cabin was two linear ceiling slots spanning the length of the bus delivering 59.38 m3/min (2,097 CFM) of air at a mean velocity of 1 m/sec. Two different axial and vertical linear exhaust sl
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Haines and Rosenfeld. L52125 Physical Performance and Inspection Objectives to Inspect Currently Non Piggable Pipelines. Pipeline Research Council International, Inc. (PRCI), 2004. http://dx.doi.org/10.55274/r0011137.

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A significant portion of the pipeline infrastructure cannot be assessed for integrity using in-line inspection. There may also be reasons why some segments cannot be readily assessed by hydrostatic testing or by direct assessment. New standards and regulations for integrity management provide for using other technology that can be demonstrated to be as effective in assessing for the presence of integrity threats as the standard techniques. The first part of the report discusses a survey of PRCI member pipeline operating companies investigating the reasons why their systems are not piggable. Th
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Simon, James E., Uri M. Peiper, Gaines Miles, A. Hetzroni, Amos Mizrach, and Denys J. Charles. Electronic Sensing of Fruit Ripeness Based on Volatile Gas Emissions. United States Department of Agriculture, 1994. http://dx.doi.org/10.32747/1994.7568762.bard.

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An electronic sensory system for the evaluation of headspace volatiles was developed to determine fruit ripeness and quality. Two prototype systems were designed, constructed, and later modified. The first is an improved version of our original prototype electronic sniffer using a single head sensing unit for use as a single or paired unit placed on an individual fruit surface for applications in the field, lab, or industry. The second electronic sniffer utilizes a matrix of gas sensors, each selected for differential sensitivity to a range of volatile compounds. This system is more sophistica
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