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Journal articles on the topic 'New Newton Mechanics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Smith, Russell. "Light Path." Journal of Early Modern Studies 8, no. 2 (2019): 43–79. http://dx.doi.org/10.5840/jems20198212.

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This paper focuses on the mathematisation of mechanics in the seventeenth century, specifically on how the representation of compounded rectilinear motions presented in the ancient Greek Mechanica found its way into Newton’s Principia almost two thousand years later. I aim to show that the path from the former to the latter was optical: the conceptualisation of geometrical lines as paths of reflection created a physical interpretation of diagrammatic principles of geometrical point-motion, involving the kinematics and dynamics of light reflection. Upon the atomistic conception of light, the o

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IVANCEVIC, VLADIMIR G. "NEW MECHANICS OF SPINAL INJURY." International Journal of Applied Mechanics 01, no. 02 (2009): 387–401. http://dx.doi.org/10.1142/s1758825109000174.

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The prediction and prevention of spinal injury is an important aspect of preventive medical science. The spine, or vertebral column, represents a chain of 26 movable vertebral bodies, joint together by transversal viscoelastic intervertebral discs and longitudinal elastic tendons. This paper proposes a new locally–coupled loading–rate hypothesis, which states that the main cause of both soft- and hard-tissue spinal injury is a localized Euclidean jolt, or SE(3)-jolt, an impulsive loading that strikes a localized spinal section in several coupled degrees-of-freedom simultaneously. To show this,

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ZHANG, YU-FENG, and EN-GUI FAN. "SUBALGEBRAS OF THE LIE ALGEBRA R6 AND THEIR APPLICATIONS." International Journal of Modern Physics B 21, no. 22 (2007): 3809–24. http://dx.doi.org/10.1142/s0217979207037727.

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As we all know, the Hamiltonian systems are the same describing forms as Newton mechanics and Lagrange mechanics. Therefore, researching for a new Hamiltonian structure of the soliton equations has important significance. In the paper, firstly, with the help of the Lie algebra R6, a few types of subalgebras are constructed, from which the corresponding equivalent tensor systems are given. For their applications, two integrable couplings hierarchies along with the multi-potential component functions generated from the soliton theory and the Virasoro symmetric algebra are obtained. Secondly, the

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Mak, Man Kwong, Chun Sing Leung, and Tiberiu Harko. "The effects of the dark energy on the static Schrödinger–Newton system — An Adomian Decomposition Method and Padé approximants based approach." Modern Physics Letters A 36, no. 06 (2021): 2150038. http://dx.doi.org/10.1142/s0217732321500383.

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The Schrödinger–Newton system is a nonlinear system obtained by coupling together the linear Schrödinger equation of quantum mechanics with the Poisson equation of Newtonian mechanics. In this work, we will investigate the effects of a cosmological constant (dark energy or vacuum fluctuation) on the Schrödinger–Newton system, by modifying the Poisson equation through the addition of a new term. The corresponding Schrödinger–Newton-[Formula: see text] system cannot be solved exactly, and therefore for its study one must resort to either numerical or semianalytical methods. In order to obtain a

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Harko, Tiberiu, Matthew J. Lake, and Man Kwong Mak. "Series Solution of the Time-Dependent Schrödinger–Newton Equations in the Presence of Dark Energy via the Adomian Decomposition Method." Symmetry 15, no. 2 (2023): 372. http://dx.doi.org/10.3390/sym15020372.

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The Schrödinger–Newton model is a nonlinear system obtained by coupling the linear Schrödinger equation of canonical quantum mechanics with the Poisson equation of Newtonian mechanics. In this paper, we investigate the effects of dark energy on the time-dependent Schrödinger–Newton equations by including a new source term with energy density proportional to the cosmological constant Λ, in addition to the particle-mass source term. The resulting Schrödinger–Newton–Λ (S-N-Λ) system cannot be solved exactly, in closed form, and one must resort to either numerical or semianalytical (i.e., series)

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IVANCEVIC, VLADIMIR G. "NEW MECHANICS OF GENERIC MUSCULO-SKELETAL INJURY." Biophysical Reviews and Letters 04, no. 03 (2009): 273–87. http://dx.doi.org/10.1142/s1793048009001022.

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Prediction and prevention of musculo-skeletal injuries is an important aspect of preventive health science. Using as an example a human knee joint, this paper proposes a new coupled-loading-rate hypothesis, which states that a generic cause of any musculo-skeletal injury is a Euclidean jolt, or SE(3)-jolt, an impulsive loading that hits a joint in several coupled degrees-of-freedom simultaneously. Informally, it is a rate-of-change of joint acceleration in all six-degrees-of-freedom simultaneously, times the corresponding portion of the body mass. In the case of a human knee, this happens when

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SCOTT, J. R., and S. C. CHANG. "A NEW FLUX-CONSERVING NEWTON SCHEME FOR THE NAVIER-STOKES EQUATIONS." International Journal of Computational Fluid Dynamics 5, no. 3-4 (1995): 189–212. http://dx.doi.org/10.1080/10618569508940742.

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Staley, Richard. "The Interwar Period as a Machine Age: Mechanics, the Machine, Mechanisms, and the Market in Discourse." Science in Context 31, no. 3 (2018): 263–92. http://dx.doi.org/10.1017/s0269889718000236.

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ArgumentThis paper examines some of the ways that machines, mechanisms, and the new mechanics were treated in post-World War I discourse. Spengler's 1919Decline of the Westand Hessen's 1931 study of Newton have usually been tied closely to Weimar culture in Germany, and Soviet politics. Linking them also to the writings of Rathenau, Simmel, Chase, Mumford, Hayek, and others, as well as to Dada and film studies of the city will indicate central features of a wide-ranging, international discourse on the machine and mechanization. I argue that machines were so thoroughly integrated into social an

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KOCHAN, DENIS. "DIRECT QUANTIZATION OF EQUATIONS OF MOTION: FROM CLASSICAL DYNAMICS TO TRANSITION AMPLITUDES VIA STRINGS." International Journal of Geometric Methods in Modern Physics 07, no. 08 (2010): 1385–405. http://dx.doi.org/10.1142/s0219887810004865.

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New method of quantization is presented. It is based on classical Newton–Lagrange equations of motion (representing the fundamental physical law of mechanics) rather than on their traditional Lagrangian and/or Hamiltonian precursors. It is shown that classical dynamics is governed by canonical two-form Ω, which embodies kinetic energy and forces acting within the system. New type of variational principle employing differential two-form Ω and "umbilical strings" is introduced. The Feynman path integral over histories of the system is then rearranged to "umbilical world-sheet" functional integra

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10

Görg, Erdmann, and Rudolf Meer. "Physik und Metaphysik. Zur Umkehrung ihres Verhältnisses am Beispiel von Trägheitsgesetz und Raum bei Newton, Euler und Kant." Kant-Studien 116, no. 2 (2025): 289–303. https://doi.org/10.1515/kant-2025-2011.

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Abstract In this paper we examine Euler’s influence on Kant’s Metaphysical Foundations of Natural Science as a non-Newtonian source. We show that he is more than a mere mediator between Newton and Kant. Rather, Euler’s perspective on the relationship between mechanics and metaphysics as well as the law of inertia and space can be seen as paving the way for Kant’s critical project and his natural philosophy. To demonstrate this, we analyze key passages from Newton’s work and examine Euler’s Reflections on space and time. It becomes clear in this analysis that Euler, in contrast to Newton, rever

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Che, Xiao Yi, Zhe Ming He, You Xin Luo, and Qi Yuan Liu. "Planar Four-Linkage Guide Mechanism Synthesis Based on Mechanical Chaos System Methods." Applied Mechanics and Materials 55-57 (May 2011): 1009–12. http://dx.doi.org/10.4028/www.scientific.net/amm.55-57.1009.

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The problem of four-linkage guide mechanism synthesis is transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess points. For the first time, the mechanical chaos methods of mechanism synthesis and all solutions of the nonlinear questions of mechanism synthesis were found by utilizing chaos sequences of chaos motions of mechanical system to obtain locate initial points. As an example the problem of function generation for planar four-

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Laouar, M., M. Brahimi, and I. E. Lakhdari. "Kernel function with BFGS quasi-newton methods for solving nonlinear semi-definite problems." Journal of Mathematics and Computer Science 33, no. 01 (2023): 1–16. http://dx.doi.org/10.22436/jmcs.033.01.01.

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In this paper, we will improve the practical performance of an interior points algorithm for convex nonlinear semi-definite optimization, where to minimize a nonlinear convex objective function subject to nonlinear convex constraints. We will propose a new method for solving this kind of problem by using a straightforward kernel function and the iterative Newton directions combined with the Broyden-Fletcher-Goldfarb-Shanno (BFGS in short) quasi-Newton method. Further, a best polynomial complexity for solving nonlinear convex problems will be found until now.

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Ulji and Chen Guo-qing. "New simple smooth merit function for box constrained variational inequalities and damped Newton type method." Applied Mathematics and Mechanics 26, no. 8 (2005): 1083–92. http://dx.doi.org/10.1007/bf02466422.

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Kang, Jeong Gi. "In Newton’s proof of the inverse square law, geometric limit analysis and Educational discussion." Korean School Mathematics Society 24, no. 2 (2021): 173–90. http://dx.doi.org/10.30807/ksms.2021.24.2.001.

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This study analyzed the proof of the inverse square law, which is said to be the core of Newton's <Principia>, in relation to the geometric limit. Newton, conscious of the debate over infinitely small, solved the dynamics problem with the traditional Euclid geometry. Newton reduced mechanics to a problem of geometry by expressing force, time, and the degree of inertia orbital deviation as a geometric line segment. Newton was able to take Euclid's geometry to a new level encompassing dynamics, especially by introducing geometric limits such as parabolic approximation, polygon approximatio

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Sauve´, R. G., and D. R. Metzger. "Advances in Dynamic Relaxation Techniques for Nonlinear Finite Element Analysis." Journal of Pressure Vessel Technology 117, no. 2 (1995): 170–76. http://dx.doi.org/10.1115/1.2842106.

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Traditionally, the finite element technique has been applied to static and steady-state problems using implicit methods. When nonlinearities exist, equilibrium iterations must be performed using Newton-Raphson or quasi-Newton techniques at each load level. In the presence of complex geometry, nonlinear material behavior, and large relative sliding of material interfaces, solutions using implicit methods often become intractable. A dynamic relaxation algorithm is developed for inclusion in finite element codes. The explicit nature of the method avoids large computer memory requirements and make

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Luo, Yiping, Jinhao Meng, Defa Wang, and Guobin Xue. "New One-Dimensional Search Iteration Algorithm and Engineering Application." Shock and Vibration 2021 (November 2, 2021): 1–11. http://dx.doi.org/10.1155/2021/7643555.

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In structural optimization design, obtaining the optimal solution of the objective function is the key to optimal design, and one-dimensional search is one of the important methods for function optimization. The Golden Section method is the main method of one-dimensional search, which has better convergence and stability. Based on the solution of the Golden Section method, this paper proposes an efficient one-dimensional search algorithm, which has the advantages of fast convergence and good stability. An objective function calculation formula is introduced to compare and analyse this method w

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17

Inomata, Akira, and Georg Junker. "Power Law Duality in Classical and Quantum Mechanics." Symmetry 13, no. 3 (2021): 409. http://dx.doi.org/10.3390/sym13030409.

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The Newton–Hooke duality and its generalization to arbitrary power laws in classical, semiclassical and quantum mechanics are discussed. We pursue a view that the power-law duality is a symmetry of the action under a set of duality operations. The power dual symmetry is defined by invariance and reciprocity of the action in the form of Hamilton’s characteristic function. We find that the power-law duality is basically a classical notion and breaks down at the level of angular quantization. We propose an ad hoc procedure to preserve the dual symmetry in quantum mechanics. The energy-coupling ex

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18

He, Chun-Hui. "An introduction to an ancient Chinese algorithm and its modification." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 8 (2016): 2486–91. http://dx.doi.org/10.1108/hff-09-2015-0377.

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Purpose Every student knows Newton’s iteration method from a textbook, which is widely used in numerical simulation, what few may know is that its ancient Chinese partner, Ying Buzu Shu, in about second century BC has much advantages over Newton’s method. The purpose of this paper is to introduce the ancient Chinese algorithm and its modifications for numerical simulation. Design/methodology/approach An example is given to show that the ancient Chinese algorithm is insensitive to initial guess, while a fast convergence rate is predicted. Findings Two new algorithms, which are suitable for nume

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19

Ajay, Sharma*. "CONSEQUENCES OF ARISTOTLE'S ASSERTION IN FIRST PART OF NEWTON'S FIRST LAW OF MOTION." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 7, no. 2 (2018): 69–74. https://doi.org/10.5281/zenodo.1165630.

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<strong>Objective: </strong>One of the fundamental propositions of Aristotelian philosophy is that there is no effect without a cause. Aristotle justified that force is continuously needed to push or pull bodies. It was contradicted by Philonopus and Buridan, and then Galileo established law of inertia. Descartes and Newton’s laws are based on law of inertia. All facts are scientifically and neutrally discussed. However Aristotle’s assertion appears in first part of Newton’s first law of motion. <strong>Methods/Statistical analysis: </strong>The status of Aristotle’s, G

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Žmindák, Milan, and Martin Dudinský. "Inelastic damage using continuum damage mechanics in composite plate reinforced by unidirectional fibers." MATEC Web of Conferences 157 (2018): 01023. http://dx.doi.org/10.1051/matecconf/201815701023.

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It is well that a finite element method is very popular simulation method to predict the physical behavior of systems and structures. In the last years an increase of interest in a new type of numerical methods known as meshless methods was observed. The paper deals with application of radial basis functions on modelling of inelastic damage using continuum damage mechanics of layered plate composite structures reinforced with long unidirectional fibers. For numerical simulations of elastic-plastic damage of layered composite plates own computational programs were implemented in MATLAB programm

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21

Che, Xiao Yi, Zhe Ming He, Qi Yuan Liu, and You Xin Luo. "Chaos Nested Intervals Method to Solve Nonlinear Equations and Planar Crank-Slide Mechanism Synthesis." Applied Mechanics and Materials 55-57 (May 2011): 1013–16. http://dx.doi.org/10.4028/www.scientific.net/amm.55-57.1013.

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The problem of planar crank-slide mechanism synthesis is transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, based on the study of statistic property of Logistic mapping, a new method to find all solutions of the nonlinear equations based on utilizing chaos nested intervals of Logistic mapping to obtain locate initial points is proposed. The numerical example shows that the method is effective. This pro

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Ahmad, Najmuddin, and Balmukund Singh. "Numerical Solution of Integral Equation by using New Modified Adomian Decomposition Method and Newton Raphson Methods." Regular issue 10, no. 8 (2021): 5–11. http://dx.doi.org/10.35940/ijitee.h9069.0610821.

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In this paper, we discuss the numerical solution of Adomian decomposition method and Taylor’s expansion method in Volterra linear integral equation. And we apply modified Adomian decomposition method and Newton Raphson method in Volterra nonlinear integral equation with the help of example and estimated an error in MATLAB 13 versions.

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23

Mu¨ftu¨, Sinan, and M. Cengiz Altan. "Mechanics of a Porous Web Moving Over a Cylindrical Guide." Journal of Tribology 122, no. 2 (1999): 418–26. http://dx.doi.org/10.1115/1.555378.

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A model for analyzing the interfacial conditions of a porous web moving over a cylindrical rigid guide is presented. This problem is different from the classical foil bearing problem due to the fact that the air can diffuse through the porous web itself. A micromechanics model is used to express the web porosity as a function of the fiber volume fraction of the web. Darcy’s law is used to account for the air flow and pressure drop across the web thickness, and a new modified Reynolds equation is derived to model the airflow in the web-guide interface. The porous web is modeled as a moving cyli

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Afandi Sariman, Syahmi, and Ishak Hashim. "New Optimal Newton-Householder Methods for Solving Nonlinear Equations and their Dynamics." Computers, Materials & Continua 65, no. 1 (2020): 69–85. http://dx.doi.org/10.32604/cmc.2020.010836.

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Chang, L., T. F. Conry, and C. Cusano. "An Efficient, Robust, Multi-Level Computational Algorithm for Elastohydrodynamic Lubrication." Journal of Tribology 111, no. 2 (1989): 193–99. http://dx.doi.org/10.1115/1.3261886.

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A new computational algorithm is developed for the numerical analysis of elastohydrodynamic (EHD) lubrication problems. This algorithm combines direct-iteration, Newton-Raphson, and multigrid methods into one working environment. Accurate solutions for a wide range of steady-state, line-contact problems are obtained with a relatively small number of numerical operations. The algorithm can be used to efficiently simulate transient processes in EHD lubrication. It can also be extended to solve point-contact problems with high computational and storage efficiency.

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Malek, Abdul. "New Physics – The Negation of Einstein’s Theories of Relativity." JOURNAL OF ADVANCES IN PHYSICS 22 (March 7, 2024): 54–61. http://dx.doi.org/10.24297/jap.v22i.9594.

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From ontological considerations alone, a new revolutionary quantum dynamical-materialist dialectical (Quantum Dialectics or QD) perspective of space-time-matter-motion achieves a new quantitative mass-energy-velocity relation for any ponderable fundamental particles. This new relation, based on the quantum uncertainty principle, gives the mass m of any free fundamental particle at its origin, in terms of the inverse cube of its velocity v. This quantitative relation is different and is a negation of the one derived from mechanical-metaphysical (Classical Mechanics or CM) approach since Isaac N

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Hsiao, Hsing-Sen S., Bharat Bhushan, and Bernard J. Hamrock. "Ultrathin Liquid Lubrication of Magnetic Head–Rigid Disk Interface for Near-Contact Recording: Part II—Shear Thinning and Thermal Thinning." Journal of Tribology 118, no. 2 (1996): 396–401. http://dx.doi.org/10.1115/1.2831315.

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The Carreau shear thinning equation and the modified Roelands thermal thinning equation are combined by using the generalized master curve approach to construct a new thermal non-Newtonian rheology model. The Newton-Raphson method is then used to curve-fit existing experimental data for two perfluoropolyethers to this new model. The thermophysical properties thus found are then used to calculate thermal and shear thinning correction factors for the ultrathin liquid lubrication of magnetic head-rigid disk interfaces. The results of rheology modeling show excellent fits of the widely ranging raw

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Knodel, Markus, Stefano di, Arne Nägel, and Alfio Grillo. "An efficient algorithm for biomechanical problems based on a fully implicit nested Newton solver." Theoretical and Applied Mechanics, no. 00 (2022): 12. http://dx.doi.org/10.2298/tam221115012k.

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Numerical simulations of the dynamics of soft biological tissues are highly non-trivial because tissues generally exhibit complex biological response to external and internal actions, including large deformations and remodeling. Combining the advantages of globally implicit approach (GIA) solvers with the general applicability of the semi-implicit General Plasticity Algorithm (GPA), introduced by some of us some years ago, we present a new, efficient plasticity algorithm, which we call Bio Mechanics Basis Plasticity Algorithm (BMBPA). This is fully implicit, based on a nested Newton solver, an

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Vijayaraghavan, D., and T. G. Keith. "An Efficient, Robust, and Time Accurate Numerical Scheme Applied to a Cavitation Algorithm." Journal of Tribology 112, no. 1 (1990): 44–51. http://dx.doi.org/10.1115/1.2920229.

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In this paper, an implicit numerical scheme, based on an approximate factorization technique, is applied to a cavitation algorithm. The algorithm is a modified version of the Elrod cavitation algorithm, which automatically predicts film rupture and reformation in bearings. At each time step, Newton iterations are performed to achieve time accurate solutions for unsteady problems. This numerical scheme is applied in both orthogonal and nonorthogonal grid arrangements. An aligned finite grooved bearing and a flared, misaligned line grooved bearing are analyzed using this new approach. The predic

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Zhang, Youfei, Yaowen Xing, Shihao Ding, Yijun Cao, and Xiahui Gui. "New method to measure interaction force between particle and air bubble/water droplet using a micro-Newton mechanics testing instrument." Powder Technology 373 (August 2020): 142–46. http://dx.doi.org/10.1016/j.powtec.2020.06.049.

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Feng, Pang Xiao. "The build of nonlinear quantum mechancs and variations of feature of microscopic particles as well as their experimental affirmation." JOURNAL OF ADVANCES IN PHYSICS 5, no. 3 (2014): 871–981. http://dx.doi.org/10.24297/jap.v5i3.1927.

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We establish the nonlinear quantum mechanics due to difficulties and problems of original quantum mechanics, in which microscopic particles have only a wave feature, not corpuscle feature, which are completely not consistent with experimental results and traditional concept of particle. In this theory the microscopic particles are no longer a wave, but localized and have a wave-corpuscle duality, which are represented by the following facts, the solutions of dynamic equation describing the particles have a wave-corpuscle duality, namely it consists of a mass center with constant size and carri

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Cañete, Aileen Mae G., Angel Rose J. Hitgano, Ella Marie G. Nuñez, Alisa Mae D. Talamo, Ricka Mae Marie L. Ymas, and Joy A. Bellen. "A Lesson Study on Teaching Impulse and Momentum in the New Normal." Universal Journal of Educational Research 2, no. 1 (2023): 57–66. https://doi.org/10.5281/zenodo.7456049.

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Impulse and momentum are basic concepts of mechanics introduced in the K to 12 curricula. Despite its basic concepts, students still have difficulties understanding the topic, especially when they are out of school due to the pandemic. After reopening the gates for face–to–face classes in the Philippines, the researchers found a significant reason to conduct a lesson study to improve teaching strategies on the topic. Lesson study is a development process wherein teachers work collaboratively to improve teachers teaching capacity. This study was conducted at Plaridel National High S

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Ton-That, Hoang Lan. "A NEW C0 THIRD-ORDER SHEAR DEFORMATION THEORY FOR THE NONLINEAR FREE VIBRATION ANALYSIS OF STIFFENED FUNCTIONALLY GRADED PLATES." Facta Universitatis, Series: Mechanical Engineering 19, no. 2 (2021): 285. http://dx.doi.org/10.22190/fume200629040t.

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Nonlinear free vibration of stiffened functionally graded plates is presented by using the finite element method based on the new C0 third-order shear deformation theory. The material properties are assumed to be graded in the thickness direction by a power-law distribution. Based on the Von Karman theory and the third-order shear deformation theory, the nonlinear governing equations of motion are derived from the Hamilton’s principle. An iterative procedure based on the Newton-Raphson method is employed in computing the natural frequencies and mode shape. The comparison between these solution

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Roy, Jean-René. "L’empreinte de Kepler en astronomie contemporaine." Revue des questions scientifiques 192, no. 3-4 (2021): 281–300. http://dx.doi.org/10.14428/qs.v192i3-4.68533.

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Le 27 décembre 2021 marque le 450e anniversaire de la naissance de Johannes Kepler (1571-1630). Si Nicolas Copernic et Galileo Galilei sont le plus souvent présentés comme les phares de la révolution astronomique, Kepler est malheureusement parfois perçu comme un acteur secondaire dont le rôle et le travail auraient seulement servi de fondement à Isaac Newton (1643-1727) dans l’élaboration de sa théorie de la gravitation universelle. Newton a été l’héritier génial de Kepler en intégrant magistralement et naturellement la nouvelle mécanique céleste de ce dernier dans sa théorie de la gravitatio

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Petrucci, G., and M. Scafidi. "A New Procedure for the Evaluation of Non-Uniform Residual Stresses by the Hole Drilling Method Based on the Newton-Raphson Technique." Experimental Mechanics 51, no. 7 (2010): 1039–52. http://dx.doi.org/10.1007/s11340-010-9416-5.

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Родионов, А. А. "The science of strength before and after I.G. Bubnov. To the 150th anniversary of the founder of the ship's structural mechanics." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII)</msg> 2, no. 3(61) (2023): 10–18. http://dx.doi.org/10.37220/mit.2023.61.3.022.

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Рассмотрены истоки строительной механики, которые ведут свое начало с возведения величественных инженерных сооружений древности. Развитие строительного дела в древней Греции стимулировало разработку статики, составляющую основу строительной механики. Богатейший опыт возведения инженерных сооружений Римской империи обобщен в десятитомном трактате Витрувия об архитектуре. Эпоха возрождения сформировала устойчивый интерес к науке о прочности. Начало XVIII ознаменовано поиском путей применения нового математического аппарата интегро-дифференциального исчисления Ньютона-Лейбница в физике и механике

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HUNT, J. C. R., N. D. SANDHAM, J. C. VASSILICOS, B. E. LAUNDER, P. A. MONKEWITZ, and G. F. HEWITT. "Developments in turbulence research: a review based on the 1999 Programme of the Isaac Newton Institute, Cambridge." Journal of Fluid Mechanics 436 (June 10, 2001): 353–91. http://dx.doi.org/10.1017/s002211200100430x.

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Recent research is making progress in framing more precisely the basic dynamical and statistical questions about turbulence and in answering them. It is helping both to define the likely limits to current methods for modelling industrial and environmental turbulent flows, and to suggest new approaches to overcome these limitations. Our selective review is based on the themes and new results that emerged from more than 300 presentations during the Programme held in 1999 at the Isaac Newton Institute, Cambridge, UK, and on research reported elsewhere. A general conclusion is that, although turbu

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SCHULTZ, WILLIAM W., JEAN-MARC VANDEN-BROECK, LEI JIANG, and MARC PERLIN. "Highly nonlinear standing water waves with small capillary effect." Journal of Fluid Mechanics 369 (August 25, 1998): 253–72. http://dx.doi.org/10.1017/s0022112098001773.

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We calculate spatially and temporally periodic standing waves using a spectral boundary integral method combined with Newton iteration. When surface tension is neglected, the non-monotonic behaviour of global wave properties agrees with previous computations by Mercer & Roberts (1992). New accurate results near the limiting form of gravity waves are obtained by using a non-uniform node distribution. It is shown that the crest angle is smaller than 90° at the largest calculated crest curvature. When a small amount of surface tension is included, the crest form is changed significantly. It i

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Lee, An-Chen, and Song-Tsuen Chen. "Collocated Sensor/Actuator Positioning and Feedback Design in the Control of Flexible Structure System." Journal of Vibration and Acoustics 116, no. 2 (1994): 146–54. http://dx.doi.org/10.1115/1.2930405.

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This paper presents a new control design method for the control of flexible systems that not only guarantees closed-loop asymptotic stability but also effectively suppresses vibration. This method allows integrated determination of actuator/sensor locations and feedback gain via minimization of an energy criterion, which is chosen as the integrated total energy stored in the system. The energy criterion is determined via an efficient solution of the Lyapunov equation and minimized with a quasi-Newton or recursive quadratic programming algorithm. The prerequisite for this optimal design method

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Tolkachev, Evgeniy A., and Yuriy V. Kostenich. "THE GEOMETRY OF SPACE-TIME: METHODOLOGICAL ASPECT." ŠVIETIMAS: POLITIKA, VADYBA, KOKYBĖ / EDUCATION POLICY, MANAGEMENT AND QUALITY 1, no. 3 (2009): 26–38. http://dx.doi.org/10.48127/spvk-epmq/09.1.26b.

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One of the problems of present physics teaching at the initial stage is creation in pupils minds some artificial barriers and the stereotypes complicating the subsequent studying of modern concepts. The main idea of the approach developed - all the themes and topics of general physics course should be focused on modern physical knowledge. Major instructional techniques are illustrated by the formation of modern space-time representation in the study of kinematics. Emphasis is placed on the geometric interpretation of the Galilean transformations. Together with three rotations, which determined

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Hsiao, Hsing-Sen S., Bernard J. Hamrock, and John H. Tripp. "Finite Element System Approach to EHL of Elliptical Contacts: Part I—Isothermal Circular Non-Newtonian Formulation." Journal of Tribology 120, no. 4 (1998): 695–704. http://dx.doi.org/10.1115/1.2833767.

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The column continuity equation is used in formulating a modified Reynolds equation for elastohydrodynamic lubrication of elliptical contacts. A finite element method (FEM), here the Galerkin weighting method with isoparametric Q9 elements, is used to discretize the weak form of the Reynolds equation. In addition to the nodal pressures and the offset film thickness, the locations of the two-dimensional irregular free boundary are explicitly solved for by simultaneously forcing the essential and the natural Reynolds boundary conditions. Newton-Raphson’s iterations with a user-friendly yet effici

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Malek, Abdul. "New Physics II – Quantum-Dialectical Derivation of New Mass-Energy Relation Invalidates Einstein’s Famous Equation E = mc2." JOURNAL OF ADVANCES IN PHYSICS 22 (June 22, 2024): 178–84. http://dx.doi.org/10.24297/jap.v22i.9642.

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The notion that human scale inertial mass and the various forms of tangible energy, like kinetic, heat, light, chemical, gravity, etc., have some kind of equivalence; existed since the time of Isaac Newton. Historically, based purely on epistemological and phenomenological perspective, there has been speculative, theoretical, and experimental attempts based on electrostatic, electrodynamic and relativistic, etc., consideration to deduce a quantitative relation between mass and energy. By the turn of 20th century, a vastly oversimplified and wrongly derived relation ΔE = Δmc2, where E is energy

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Haggar, M. S. D., M. Mbehou, and A. Njifenjou. "Crank-Nicolson finite element methods for nonlocal problems with p -Laplace-type operator." Journal of Mathematics and Computer Science 33, no. 01 (2023): 57–70. http://dx.doi.org/10.22436/jmcs.033.01.05.

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A theoretical analysis of a Crank-Nicolson Galerkin finite element method for a class of nonlinear nonlocal diffusion problems associated with p -Laplace-type operator is presented here. It is shown, by a rigorous analysis that the unconditionally optimal error estimates for the fully discrete scheme are established. The presence of the nonlocal term in the models destroys the sparsity of the Jacobian matrices when solving the problem numerically using finite element method and Newton-Raphson method. As a consequence, computations consume more time and space in contrast to local problems. To o

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Luo, You Xin, Xiao Yi Che, and Bin Zeng. "The Research of Equal Probability Chaos Sequence Newton Iterative Methods and its Application to Mechanism Synthesis." Applied Mechanics and Materials 20-23 (January 2010): 676–81. http://dx.doi.org/10.4028/www.scientific.net/amm.20-23.676.

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The discovery of dynamical chaos is one of the main achievements in the modern science and how to expand its application has important significance to the development of modern science. Many questions in natural science and engineering are transformed into nonlinear equations to be found. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. To improve solving efficiency, the demand to chaos sequences is uniform distribution in every interval. The probability characteristic

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Bilgil, Halis, İbrahim Şafak, and Zafer Öztürk. "Analytical solution and flow topology in a lid-driven S-shaped cavity." Physics of Fluids 34, no. 12 (2022): 123113. http://dx.doi.org/10.1063/5.0134448.

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In this study, the Stokes flow problem in an S-shaped double lid-driven cavity filled with fluid was analyzed. Side edges of the cavity were considered as immovable walls. The flow region was divided into two sub-regions, and the streamfunction in each sub-region was considered as an extension of Papkovich–Faddle eigenfunctions. Parameters in the analytical solution were obtained using biorthogonality conditions. The Newton iteration method was used to obtain the eigenvalues of the problem, and integrals were calculated with the Gaussian quadrature method. It was ensured that solutions made se

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Kansal, Munish, Alicia Cordero, Juan R. Torregrosa, and Sonia Bhalla. "A stable class of modified Newton-like methods for multiple roots and their dynamics." International Journal of Nonlinear Sciences and Numerical Simulation 21, no. 6 (2020): 603–21. http://dx.doi.org/10.1515/ijnsns-2018-0347.

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AbstractThere have appeared in the literature a lot of optimal eighth-order iterative methods for approximating simple zeros of nonlinear functions. Although, the similar ideas can be extended for the case of multiple zeros but the main drawback is that the order of convergence and computational efficiency reduce dramatically. Therefore, in order to retain the accuracy and convergence order, several optimal and non-optimal modifications have been proposed in the literature. But, as far as we know, there are limited number of optimal eighth-order methods that can handle the case of multiple zer

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Khabou, M. T., O. Ksentini, A. Jarraya, M. S. Abbes, F. Chaari, and M. Haddar. "Influence of disk brake friction on the dynamic behaviour of a directly coupled spur gear transmission." Multidiscipline Modeling in Materials and Structures 10, no. 2 (2014): 146–62. http://dx.doi.org/10.1108/mmms-06-2013-0041.

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Purpose – The purpose of this paper is to study the influence of friction phenomenon generated by a disc brake on the dynamic behaviour of a one-stage spur gear. Design/methodology/approach – A theoretical model is proposed and is based on both theories of Coulomb and Dahl in order to analyse the influence of disc brake friction phenomenon on the dynamic behaviour of one-stage spur gear transmission. Findings – The influence of brake friction on the dynamic behaviour of the transmission is investigated using the proposed model and leads to observe higher vibration levels when the braking is oc

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Sha, Ha. "The Scientific Revolution in Europe and its Impact on Chinese Cosmology during the 16th -18th Centuries." INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH AND ANALYSIS 06, no. 12 (2024): 6031–43. https://doi.org/10.5281/zenodo.10452315.

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The scientific revolution, which developed in Western Europe during the 16th-18th centuries, was one of the most significant fruits of the activity of European universities. The cultural movement of Renaissance, born in Italy a century earlier, which moved the center of attention of scholars on man, ‘blacksmith of his destiny’ and on his dignity, with a marked curiosity for the laws of nature, greatly contributed to it. Another propulsive factor were the maritime expeditions across the Atlantic, the Pacific and the Indian Oceans, promoted by the kingdoms of Portugal and Spain at th

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Itoh, Jun, Takeshi Ebihara, Yuji Kubota, and Atsushi Takahashi. "Simulation of Tape Floating Behavior in VTR." Journal of Tribology 115, no. 4 (1993): 561–65. http://dx.doi.org/10.1115/1.2921675.

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An efficient method for numerical simulation of tape floating behavior in VTR has been developed. Parameter survey examples for tape floating height control in some drum-guide tape systems have been shown. The spacing between a drum and a tape is one of the most important topics regarding the tape/head interface problem for a VTR. The spacing is caused by air film lubrication and can be determined by using the Reynolds equation for air and the elastic equation for a tape. Each equation is discretized, using the finite element method, and solved by the Newton-Raphson method. The results, calcul

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Stávek, Jiří. "A New Interpretation of Contributions Presented at the Solvay Conference 1911. Can We Falsify the “Geocentric” Foundations of Quantum Mechanics in the Solar System?" European Journal of Applied Physics 3, no. 6 (2021): 61–65. http://dx.doi.org/10.24018/ejphysics.2021.3.6.135.

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We have studied the contributions and presentations published in the Proceedings of the Solvay Conference 1911. Based on the lecture of Ernest Solvay on the “gravito-matérialitique” we can distinguish two features of the Earth´s gravitational field – 1. “gravité réelle” described by the Newton´s gravitational law and 2. “gravité potentielle” acting as an agent of the self-organization on quantum particles and creating structures described by the Planck constant hEARTH. From the discussions followed after the presentations of Walther Nernst and Albert Einstein we interpreted the Nernst- Lindema

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