Academic literature on the topic 'New Newton Mechanics'

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Journal articles on the topic "New Newton Mechanics"

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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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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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Dissertations / Theses on the topic "New Newton Mechanics"

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Madhavan, Mayur C. "Mechanisms of Transdifferentiation and Regeneration." Miami University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=miami1133554812.

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Books on the topic "New Newton Mechanics"

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1760-1842, Bates Walter, ed. A narrative of the conduct and adventures of Henry Frederic Moon, alias Henry Frederic More Smith, alias William Newman, a native of Brighthelmstone, Sussex: And now under sentence of imprisonment in Connecticut, in North America; containing an account of his unparalleled artifices, impostures, mechanical ingenuity, &c. &c. displayed during and subsequently to his confinement in one of His Majesty's gaols in the province of New Brunswick. Printed for Allman and Co. ..., 1985.

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Gerck, Edgardo Vogel, and Ed Gerck. New Physics with the Euler-Lagrange Equation : Going Beyond Newton: On-Ramps to Quantum Mechanics, Special Relativity, and Noether Theorems. Independently Published, 2019.

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Mann, Peter. Lagrangian and Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.001.0001.

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This book explores the fascinating subject of classical mechanics, which is the pinnacle of nineteenth-century physics, from a fresh and exciting viewpoint. With its foundations laid down in ancient Greece, classical physics was truly born in the 1700s with Sir Isaac Newton’s discoveries and quickly developed into the modern scientific method that is commonplace today. After the Newtonian revolution, others reformulated classical mechanics into different descriptions and new formalisms, each uncovering novel aspects of the mathematical and geometrical laws of nature. Over the last 400 years, c
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Mercati, Flavio. Barbour–Bertotti Best Matching. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0004.

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Barbour and Bertotti’s Mach–Poincaré Principle can be realized in classical mechanics with a mathematical procedure which was beyond the grasp of Leibniz or Newton, and turns out to be equivalent to modern gauge theory. This is the formulation of a variational principle based on ‘best matching’: one transforms subsequent configurations of the system with the Euclidean group, and by minimizing a certain functional a notion of ‘equilocality’ is established: now it makes sense to say that a particle comes back to the same point at different times.
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Kattwinkel, John, Robert J. Boyle, Christian A. Chisholm, and Susan B. Clarke, eds. PCEP Specialized Newborn Care (Book IV). 2nd ed. American Academy of Pediatrics, 2012. http://dx.doi.org/10.1542/9781581107128.

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New 2nd edition features step-by-step skill instruction, and practice-focused exercises. Developed by a distinguished editorial board, the Perinatal Continuing Education Program (PCEP) is a comprehensive, self-paced education program in four volumes. The PCEP workbooks have been significantly revised and brought up-to-date with leading-edge procedures and techniques. The revised volumes are filled with clear explanations, step-by-step skill instruction, and practice-focused exercises. They offer time- saving, low-cost solutions for self-paced learning or as adjuncts to instructor-led skills tr
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A narrative of the conduct and adventures of Henry Frederic Moon, alias Henry Frederic More Smith, alias William Newman, a native of Brighthelmstone, Sussex: And now under sentence of imprisonment in Connecticut, in North America; containing an account of his unparalleled artifices, impostures, mechanical ingenuity, &c. &c. displayed during and subsequently to his confinement in one of His Majesty's gaols in the province of New Brunswick. 2nd ed. Printed for Allman and Co. ..., 1985.

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Book chapters on the topic "New Newton Mechanics"

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Laws, Priscilla W. "A New Mechanics Case Study: Using Collisions to Learn about Newton’s Third Law." In Microcomputer–Based Labs: Educational Research and Standards. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61189-6_6.

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Aydin Acar, Cigdem. "Cystic Fibrosis: Clinical Characteristics, Molecular Mechanisms and Treatment." In Molecular Approaches in Medicine. Nobel Tip Kitabevleri, 2024. http://dx.doi.org/10.69860/nobel.9786053359524.7.

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Cystic Fibrosis (CF) is a genetic disorder that primarily affects the respiratory and digestive systems. This chapter provides a comprehensive overview of CF, including its pathophysiology, clinical manifestations, diagnosis and treatment. CF is caused by mutations in the CFTR gene, which encodes the cystic fibrosis transmembrane conductance regulator protein. This protein is crucial for the regulation of chloride and sodium ions across epithelial membranes. Mutations lead to the production of thick, sticky mucus that clogs the airways and various channels throughout the body. This chapter des
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Buchwald, Jed Z., and Mordechai Feingold. "Introduction." In Newton and the Origin of Civilization. Princeton University Press, 2012. http://dx.doi.org/10.23943/princeton/9780691154787.003.0014.

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This introductory chapter discusses Isaac Newton’s immersion in ancient prophecies, Church history, and alchemy. These investigations raise several questions: what links his interest in such matters to his investigations in optics, mechanics, and mathematics? Was Newton in his alchemical laboratory the same Newton who analyzed the passage of light through a prism and who measured the behavior of bodies falling through fluid media? What did the Newton who interpreted the Book of Revelation have to do with the man who wrote the Principia Mathematica? And how does the Newton who pored over ancien
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Lepot, I., F. Meers, and J. A. Essers. "Parallel Multigrid Newton-Krylov Algorithms for Euler Computations on 3D Unstructured Grids." In Computational Mechanics–New Frontiers for the New Millennium. Elsevier, 2001. http://dx.doi.org/10.1016/b978-0-08-043981-5.50018-3.

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Meli, Domenico Bertoloni. "The Reception Of Newtonian And Leibnizian Theories." In Equivalence and Priority: Newton versus Leibniz. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198539452.003.0010.

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Abstract Although in the seventeenth century several philosphers including Rene Descartes, Giovanni Alfonso Borelli, Robert Hooke, and Christiaan Huygens studied celestial phenomena using the laws of mechanics, with the appearance of Newton’s Principia the mathematical study of the system of the world reached a new level of sophistication and a broader horizon. If physical causes had been left at the margin of Newton’s account, mechanics and astronomy were brought together to an unprecedented degree of cohesion. Not only planetary motion and Kepler’s three laws, but also the motion of comets,
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Gurukkal, Rajan. "The Rise of Science." In History and Theory of Knowledge Production. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199490363.003.0005.

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A review of knowledge production in the Age of Renaissance, impetus of great intellectuals like Roger Bacon, growth of natural philosophy of Copernicus, Galileo, Francis Bacon, Descartes, and Newton on contemporary knowledge production; and the making of the Age of Enlightenment constitute the fifth chapter. How Newton’s theories of objects, position, relations, dynamic, and velocity went into the making of a new field of knowledge called mechanics in Natural Philosophy, explaining the fundamental laws of the motion of bodies under the action of forces, became the hegemonic model for the centu
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Meli, Domenico Bertoloni. "General Introduction." In Equivalence and Priority: Newton versus Leibniz. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198539452.003.0001.

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Abstract Over the last few decades Newton’s itinerary to the Principia has been meticulously reconstructed through the study of his private manuscripts and correspondence; the new picture which has emerged has enriched enormously our understanding of his work in many aspects, ranging from the interaction between mathematics and mechanics to the role of alchemy and theology. The formation of Leibniz’s techniques and ideas about planetary motion is extremely well documented in an exciting series of previously unknown manuscripts which are published and analysed here for the first time. Leibniz’s
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Kaye, Phillip, Raymond Laflamme, and Michele Mosca. "Qubits and the Framework of Quantum Mechanics." In An Introduction to Quantum Computing. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198570004.003.0006.

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In this section we introduce the framework of quantum mechanics as it pertains to the types of systems we will consider for quantum computing. Here we also introduce the notion of a quantum bit or ‘qubit’, which is a fundamental concept for quantum computing. At the beginning of the twentieth century, it was believed by most that the laws of Newton and Maxwell were the correct laws of physics. By the 1930s, however, it had become apparent that these classical theories faced serious problems in trying to account for the observed results of certain experiments. As a result, a new mathematical fr
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Needham, Tristan. "Further Geometry of Differentiation." In Visual Complex Analysis. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192868916.003.0005.

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Abstract This chapter studies differentiation directly in the complex plane, primarily through the use of ultimate equality-the powerful geometrical tool that Newton unleashed in his great Principia of 1687. It begins with the rederivation of the Cauchy-Riemann equations, and the discovery of new forms that they can take on. These forms include the Cartesian form and the Polar form. The chapter then looks at the “rigidity” of analytic functions, which is a recurring theme in complex analysis. This means that their highly structured nature (everywhere locally an amplitwist) enables one to pin d
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Darrigol, Olivier. "Conclusion." In Worlds of Flow. Oxford University PressOxford, 2005. http://dx.doi.org/10.1093/oso/9780198568438.003.0008.

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Abstract Hydrodynamics evolved considerably in the course of its application to various phenomena. So did all major theories of mathematical physics. The myths that make Newton the sole creator of mechanics, Cauchy the father of the theory of elasticity, Clausius the founder of thermodynamics, and Maxwell the unique inventor of modern electrodynamics do not resist historical analysis. These theories have changed so much since the first formulations of their fundamental principles and equations that a modern physicist who reads the mythical founders can barely recognize a kinship with present t
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Conference papers on the topic "New Newton Mechanics"

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Qiao, Hongdong, Weidong Ruan, Zhaohui Shang, and Yong Bai. "Non-Linear Static Analysis of 2D Steep Wave Riser Under Current Load." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54460.

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A new solution combining finite difference method and shooting method is developed to analyze the behavior of steep wave riser subjected to current loading. Based on the large deformation beam theory and mechanics equilibrium principle, a set of non-linear ordinary differential equations describing the motion of the steep wave riser are obtained. Then, finite difference method and shooting method are adopted and combined to solve the ordinary differential equations with zero moment boundary conditions at both the seabed end and surface end of the steep wave riser. The resulting non-linear fini
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Rizq, Raed N., David R. Wulfman, David Peichel, Arthur G. Erdman, and Dennis L. Polla. "A New Linear Stepper Motor Within a Hand Held Surgical Device." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0344.

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Abstract A new hand held surgical device intended to aid physicians in microsurgery is reported. This device provides a means for delivering small implants through the use of a precision motion linear stepper motor fabricated from silicon and piezoelectric components. Test instruments have delivered over fifty implants with consistent performance. Typically the test instruments have attained 1.2 mm/s advancement speeds against 3 Newton resistance loads, a maximum output force of 4.6 Newtons, and maximum total displacement of 38 mm.
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Wilson, J. K. "New Efficient Drillstring-Wellbore Contact Model Makes Real-Time BHA Directional Estimation Possible." In SPE/IADC International Drilling Conference and Exhibition. SPE, 2025. https://doi.org/10.2118/223662-ms.

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Abstract Reliably predicting directional tendencies of downhole drilling assemblies has been an interest of researchers for decades. Initial efforts focused primarily on accuracy in calculation, attempting to account for the various nonlinearities that exist downhole (geometric coupling, wellbore contact, friction, etc.). As bottom-hole assembly (BHA) mechanics models have improved to capture these inherently nonlinear behaviors of the downhole system, focus has naturally shifted to improving calculation efficiency and reducing the time required to obtain results. With the continued adoption o
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Wang, David H., Michael J. Bockelie, Marc A. Cremer, and J. Y. Chen. "A Newton-Krylov Based Solver for Modeling Finite Rate Chemistry." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1542.

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To date, computational fluid dynamics (CFD) codes aimed at solving practical engineering problems involving chemically reacting flow have incorporated relatively simple descriptions of the chemical mechanisms involved. Techniques are now available to create reduced mechanisms that faithfully represent detailed chemical descriptions over an appropriate range of conditions using many fewer species. However, including reduced mechanisms into a CFD analysis typically leads to numerical difficulties. In a recent project, a new modeling tool was created that utilizes a combination of state-of-the-ar
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Tang, Qing, Martin Denison, Mike Maguire, Mike Bockelie, and Jyh-Yuan Chen. "Improvements on a Newton-Krylov Based Solver for CFD Models Using Finite Rate NOx Chemistry." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-3118.

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In this paper, we describe our progress on improving the performance of a newly developed Computational Fluid Dynamics (CFD) modeling tool, which uses reduced chemical kinetics mechanisms to model the finite rate chemistry effects and solves the resulting system of stiff partial differential equations with a matrix-free Newton-Krylov method. A multi-grid based preconditioner and a Newton iteration scheme have been implemented in the Newton-Krylov solver and the reduced mechanism module, respectively, to replace the original Picard based preconditioner and the point iteration scheme for steady
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Buyakova, S., T. Sablina, and S. Kulkov. "Porosity and mechanical properties of zirconium ceramics." In NEW OPERATIONAL TECHNOLOGIES (NEWOT’2015): Proceedings of the 5th International Scientific Conference «New Operational Technologies». AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4936004.

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Kolmakova, T. V., S. P. Buyakova, and S. N. Kul’kov. "Research of mechanics of the compact bone microvolume and porous ceramics under uniaxial compression." In NEW OPERATIONAL TECHNOLOGIES (NEWOT’2015): Proceedings of the 5th International Scientific Conference «New Operational Technologies». AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4936057.

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Nelson, Donald D., David E. Johnson, and Elaine Cohen. "Haptic Rendering of Surface-to-Surface Sculpted Model Interaction." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0014.

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Abstract Previous work in haptics surface tracing for virtual prototyping and surface design applications has used a point model for virtual finger-surface interaction. We extend this tracing method for surface-to-surface interactions. A straightforward extension of the point-surface formulation to surface-surface can yield extraneous, undesirable solutions, although we rework the formulation to yield more satisfactory solutions. Additionally, we derive an alternative novel velocity formulation for use in a surface-surface tracing paradigm that exhibits additional stability beyond the Newton m
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Beyene, Asfaw, and Andrzej Miller. "A New Numerical Procedure for Simulation of the Gas Turbine Engine." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0311.

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Abstract Mathematical model of the gas turbine engine (g.t.e.) requires formulation of the models of each of its components and framing their constraints and matching conditions to allow their operation as a unit system. Complexity of the g.t.e. configuration and the increase in the number of shafts impart an intricate multi-D mathematical model comprising from few tens to few hundreds of non-linear equations, at times yielding some serious numerical challenges. There are a number of successful attempts made in developing “universal” codes to simulate performance of g.t.e. systems. QNEP [14],
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Wang, Ren, Qing Xu, Xinhui Zhu, and Peng Wang. "A new collimation-checking system based on Newton's ring." In Third International Symposium on Precision Mechanical Measurements. SPIE, 2006. http://dx.doi.org/10.1117/12.716373.

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Reports on the topic "New Newton Mechanics"

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AN INVESTIGATION ON THE EFFECT OF RANDOM PITTING CORROSION ON THE STRENGTH OF THE SUBSEA PIPELINE USING MONTE CARLO METHOD. The Hong Kong Institute of Steel Construction, 2024. http://dx.doi.org/10.18057/ijasc.2024.20.1.10.

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Pitting corrosion is normally distributed randomly along the pipeline, which is the source of the uncertainty affecting the ultimate bearing capacity of the submarine pipelines. So the Monte Carlo method is employed to study the effect of pitting corrosion on the upheaval buckling behavior of the pipeline. A corroded pipeline model with randomly distributed pitting corrosion is utilized to captures the intricate realities of corrosion scenarios. Multiple corrosion models with distinct artificial patterns have been meticulously crafted. Additionally, a new pipeline element based on Euler-Bernou
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