Relevant bibliographies by topics / Equations of motion

Contents

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

Academic literature on the topic 'Equations of motion'

Author: Grafiati
Published: 4 June 2021
Last updated: 19 October 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Equations of motion.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Equations of motion"

1

Loide, R.-K., and P. Suurvarik. "SUPERFIELD EQUATIONS OF MOTION." Proceedings of the Academy of Sciences of the Estonian SSR. Physics. Mathematics 34, no. 3 (1985): 248. http://dx.doi.org/10.3176/phys.math.1985.3.02.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Wilson, C. R. "Discrete polar motion equations." Geophysical Journal International 80, no. 2 (February 1, 1985): 551–54. http://dx.doi.org/10.1111/j.1365-246x.1985.tb05109.x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Robinson, Enders, and Dean Clark. "Elasticity: Equations of motion." Leading Edge 9, no. 7 (July 1990): 24–27. http://dx.doi.org/10.1190/1.1439758.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Bao, Dehai, and Z. Y. Zhu. "Quantization from motion equations." International Journal of Theoretical Physics 32, no. 8 (August 1993): 1409–22. http://dx.doi.org/10.1007/bf00675202.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Chang, Liang-Wey, and James F. Hamilton. "A Sequential Integration Method." Journal of Dynamic Systems, Measurement, and Control 110, no. 4 (December 1, 1988): 382–88. http://dx.doi.org/10.1115/1.3152700.

Full text
Abstract:
This paper presents a method for simulating systems with two inertially coupled motions, i.e., a slow motion and a fast motion. The equations of motion are separated into two sets of coupled nonlinear ordinary differential equations. For each time step, the two sets of equations are integrated sequentially rather than simultaneously. Explicit integration methods are used for integrating the slow motion since the stability of the integration is not a problem and the explicit methods are very convenient for nonlinear equations. For the fast motion, the equations are linear and the implicit integrations can be used with guaranteed stability. The size of time step only needs to be chosen to provide accuracy of the solution for the modes that are excited. The interaction between the two types of motion must be treated such that secular terms do not appear due to the sequential integration method. A lumped model of a flexible pendulum will be presented in this paper to illustrate the application of the method. Numerical results for both simultaneous and sequential integration are presented for comparison.
APA, Harvard, Vancouver, ISO, and other styles
6

Burov, A. A. "Motion of a Variable Body with a Fixed Point in a Time-dependent Force Field." Прикладная математика и механика 87, no. 6 (November 1, 2023): 984–94. http://dx.doi.org/10.31857/s0032823523060024.

Full text
Abstract:
The problem of motion around a fixed point of a variable body in a time-dependent force field is considered. The conditions under which the equations of motion are reduced to the classical Euler–Poisson equations describing the motions of a rigid body in the field of attraction are indicated. The problems of the existence of the first integrals and the stability of steady motions are discussed.
APA, Harvard, Vancouver, ISO, and other styles
7

Jung, Soo-jin, and Eric Yee. "Compatible Ground Motion Models for South Korea Using Moderate Earthquakes." Applied Sciences 14, no. 3 (January 31, 2024): 1182. http://dx.doi.org/10.3390/app14031182.

Full text
Abstract:
Due to a heightened interest in the field of earthquakes after two moderately sized earthquakes occurred in Gyeongju and Pohang, this study explores which ground motion prediction equations are compatible for the South Korea region. Due to data availability, ground motions from five earthquakes of moderate magnitude were used for comparing against selected ground motion models. Median rotated response spectral ordinates at a period of 0.2 s were extracted from these ground motions, which served as a basis for comparison. Twelve ground motion models were considered from the Next Generation Attenuation West, West2, and East programs due to their extensive databases and robust analytical techniques. A comparison of relative residuals, z-score, and each event found that the subset of Next Generation Attenuation—East ground motion prediction equations did not perform as well as the suite of Next Generation Attenuation—West2 ground motion prediction equations, most likely due to the regional simulations involved in developing the database. Interestingly, the ground motion models that performed relatively well were from the set designed for rock conditions.
APA, Harvard, Vancouver, ISO, and other styles
8

Chang, Liang-Wey, and J. F. Hamilton. "Dynamics of Robotic Manipulators With Flexible Links." Journal of Dynamic Systems, Measurement, and Control 113, no. 1 (March 1, 1991): 54–59. http://dx.doi.org/10.1115/1.2896359.

Full text
Abstract:
This paper presents a dynamic model for the robotic manipulators with flexible links by means of the Finite Element Method and Lagrange’s formulation. By the concept of the Equivalent Rigid Link System (ERLS), the generalized coordinates are selected to represent the total motion as a large motion and a small motion. Two sets of coupled nonlinear equations are obtained where the equations representing small motions are linear with respect to the small motion variables. An example is presented to illustrate the importance of the flexibility effects.
APA, Harvard, Vancouver, ISO, and other styles
9

Tleubergenov, Marat, and Gulmira Ibraeva. "ON THE CLOSURE OF STOCHASTIC DIFFERENTIAL EQUATIONS OF MOTION." Eurasian Mathematical Journal 12, no. 2 (2021): 82–89. http://dx.doi.org/10.32523/2077-9879-2021-12-2-82-89.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

NAMSRAI, KH, YA HULREE, and N. NJAMTSEREN. "AN OVERVIEW OF THE APPLICATION OF THE LANGEVIN EQUATION TO THE DESCRIPTION OF BROWNIAN AND QUANTUM MOTIONS OF A PARTICLE." International Journal of Modern Physics A 07, no. 12 (May 10, 1992): 2661–77. http://dx.doi.org/10.1142/s0217751x92001198.

Full text
Abstract:
A simple scheme of unified description of different physical phenomena by using the Langevin type equations is reviewed. Within this approach much attention is being paid to the study of Brownian and quantum motions. Stochastic equations with a white noise term give all characteristics of the Brownian motion. Some generalization of the Langevin type equations allows us to obtain nonlinear equations of particles' motion, which are formally equivalent to the Schrödinger equation. Thus, we establish Nelson's stochastic mechanics on the basis of the Langevin equation.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Equations of motion"

1

Sebastianutti, Marco. "Geodesic motion and Raychaudhuri equations." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18755/.

Full text
Abstract:
The work presented in this thesis is devoted to the study of geodesic motion in the context of General Relativity. The motion of a single test particle is governed by the geodesic equations of the given space-time, nevertheless one can be interested in the collective behavior of a family (congruence) of test particles, whose dynamics is controlled by the Raychaudhuri equations. In this thesis, both the aspects have been considered, with great interest in the latter issue. Geometric quantities appear in these evolution equations, therefore, it goes without saying that the features of a given space-time must necessarily arise. In this way, through the study of these quantities, one is able to analyze the given space-time. In the first part of this dissertation, we study the relation between geodesic motion and gravity. In fact, the geodesic equations are a useful tool for detecting a gravitational field. While, in the second part, after the derivation of Raychaudhuri equations, we focus on their applications to cosmology. Using these equations, as we mentioned above, one can show how geometric quantities linked to the given space-time, like expansion, shear and twist parameters govern the focusing or de-focusing of geodesic congruences. Physical requirements on matter stress-energy (i.e., positivity of energy density in any frame of reference), lead to the various energy conditions, which must hold, at least in a classical context. Therefore, under these suitable conditions, the focusing of a geodesics "bundle", in the FLRW metric, bring us to the idea of an initial (big bang) singularity in the model of a homogeneous isotropic universe. The geodesic focusing theorem derived from both, the Raychaudhuri equations and the energy conditions acts as an important tool in understanding the Hawking-Penrose singularity theorems.
APA, Harvard, Vancouver, ISO, and other styles
2

Karlgaard, Christopher David. "Second-Order Relative Motion Equations." Thesis, Virginia Tech, 2001. http://hdl.handle.net/10919/34025.

Full text
Abstract:
This thesis presents an approximate solution of second order relative motion equations. The equations of motion for a Keplerian orbit in spherical coordinates are expanded in Taylor series form using reference conditions consistent with that of a circular orbit. Only terms that are linear or quadratic in state variables are kept in the expansion. A perturbation method is employed to obtain an approximate solution of the resulting nonlinear differential equations. This new solution is compared with the previously known solution of the linear case to show improvement, and with numerical integration of the quadratic differential equation to understand the error incurred by the approximation. In all cases, the comparison is made by computing the difference of the approximate state (analytical or numerical) from numerical integration of the full nonlinear Keplerian equations of motion.
Master of Science
APA, Harvard, Vancouver, ISO, and other styles
3

McKay, Steven M. "Brownian Motion Applied to Partial Differential Equations." DigitalCommons@USU, 1985. https://digitalcommons.usu.edu/etd/6992.

Full text
Abstract:
This work is a study of the relationship between Brownian motion and elementary, linear partial differential equations. In the text, I have shown that Brownian motion is a Markov process, and that Brownian motion itself, and certain Stochastic processes involving Brownian motion are also martingales. In particular, Dynkin's formula for Brownian motion was shown. Using Dynkin's formula and Brownian motion, I then constructed solutions for the classical Dirichlet problem and the heat equation, given by Δu=0 and ut= 1/2Δu+g, respectively. I have shown that the bounded solution is unique if Brownian motion will always exit the domain of the function once it has started at a point in the domain. The heat equation also has a unique bounded solution.
APA, Harvard, Vancouver, ISO, and other styles
4

Sanyal, Suman. "Stochastic dynamic equations." Diss., Rolla, Mo. : Missouri University of Science and Technology, 2008. http://scholarsmine.mst.edu/thesis/pdf/Sanyal_09007dcc80519030.pdf.

Full text
Abstract:
Thesis (Ph. D.)--Missouri University of Science and Technology, 2008.
Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed August 21, 2008) Includes bibliographical references (p. 124-131).
APA, Harvard, Vancouver, ISO, and other styles
5

Theron, Willem Frederick Daniel. "Analysis of the rolling motion of loaded hoops /." Link to the online version, 2008. http://hdl.handle.net/10019.1/1206.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Goleniewski, G. "Equations of motion for viscoelastic moving crack problems." Thesis, University of Bath, 1988. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383260.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Pinto, João Teixeira. "Slow motion manifolds for a class of evolutionary equations." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/29342.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Ricca, Renzo L. "Geometric and topological aspects of vortex filament motion." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.319585.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Cameron, Jonathan M. "Modeling and motion planning for nonholonomic systems." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/17793.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Shelton, Jessie. "Twisted and unstable : approaches to the string equations of motion." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/36813.

Full text
Abstract:
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2006.
Includes bibliographical references (p. 183-197).
In this thesis we will explore three approaches to aspects of the fundamental structure of string theory. We first provide a brief review of perturbative string theory, and briefly discuss how each of the three topics to be discussed in the body of this thesis depart from this starting point. We then study the open string one-loop tadpole diagram in Witten cubic open string field theory. We compute this diagram both analytically and numerically and study the divergences arising from the collective behavior of open string fields in the short-distance region of the diagram. We demonstrate that this region of the diagram encodes information about the linearized Einstein equation describing the shift in the closed string fields in reaction to the D-brane supporting the open strings. We also show that the manner in which this information is encoded is somewhat singular, and comment on the implications for the quantum consistency of open bosonic string field theory. We next compute the closed string radiation from a decaying D-brane in type II string theory. The calculation is made possible by noting that the integrals involved in the requisite disk one-point functions reduce to integrals over the group manifold of a product of unitary groups.
(cont.) We find that the total number and energy of strings radiated during the decay process diverges for D-branes of small enough dimension, in precise analogy to the bosonic case. Finally, we investigate a simple class of type II string compactifications which incorporate nongeometric "fluxes" in addition to "geometric flux" and the usual H-field and R-R fluxes. We develop T-duality rules for NS-NS geometric and nongeometric fluxes, which we use to construct a superpotential for the dimensionally reduced four-dimensional theory. The resulting structure is invariant under T-duality, so that the distribution of vacua in the IIA and IIB theories is identical when nongeometric fluxes are included.
by Jessie (Julia) Shelton.
Ph.D.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Equations of motion"

1

Puetzfeld, Dirk, Claus Lämmerzahl, and Bernard Schutz, eds. Equations of Motion in Relativistic Gravity. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18335-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Boccaletti, Dino. Galileo and the Equations of Motion. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-20134-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Rheinfurth, M. Space station rotational equations of motion. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

1953-, Futamase Toshifumi, and Hogan, P. A. (Peter A.), eds. Equations of motion in general relativity. New York: Oxford University Press, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Fuhrer, Claus. Formulation and numerical solution of the equations of constrained mechanical motion. Koln: DFLVR, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Deissler, Robert G. Turbulent fluid motion III: Basic continuum equations. [Washington, DC]: National Aeronautics and Space Administration, 1991.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kim, Tujin, and Daomin Cao. Equations of Motion for Incompressible Viscous Fluids. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Chen, Robert T. N. Flap-lag equations of motion of rigid, articulated rotor blades with three hinge sequences. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Center, Ames Research, ed. Flap-lag equations of motion of rigid, articulated rotor blades with three hinge sequences. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Center, Ames Research, ed. Flap-lag equations of motion of rigid, articulated rotor blades with three hinge sequences. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Equations of motion"

1

Tahir-Kheli, Raza. "Oscillatory Motion." In Ordinary Differential Equations, 227–55. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76406-1_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Scherer, Philipp O. J. "Equations of Motion." In Graduate Texts in Physics, 289–321. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61088-7_13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Ludwig, G. "Equations of Motion." In Foundations of Quantum Mechanics, 40–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-86754-5_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Joseph, Daniel D. "Equations of Motion." In Fluid Dynamics of Viscoelastic Liquids, 44–68. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-4462-2_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Hirschel, Ernst Heinrich, Jean Cousteix, and Wilhelm Kordulla. "Equations of Motion." In Three-Dimensional Attached Viscous Flow, 51–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-41378-0_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Ludwig, G. "Equations of Motion." In Foundations of Quantum Mechanics, 40–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-28726-2_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Nieuwstadt, Frans T. M., Bendiks J. Boersma, and Jerry Westerweel. "Equations of Motion." In Turbulence, 9–17. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31599-7_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Scherer, Philipp O. J. "Equations of Motion." In Computational Physics, 129–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13990-1_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Miller, James. "Equations of Motion." In Planetary Spacecraft Navigation, 1–49. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78916-3_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Yakimenko, Oleg, and Nathan Slegers. "Equations of Motion." In Precision Aerial Delivery Systems: Modeling, Dynamics, and Control, 263–352. Reston, VA: American Institute of Aeronautics and Astronautics, Inc., 2015. http://dx.doi.org/10.2514/5.9781624101960.0263.0352.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Equations of motion"

1

Carter, Ryan. "Store Separation Equations of Motion." In AIAA Atmospheric Flight Mechanics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-4957.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Mahmoodi, S. Nima, Siamak E. Khadem, and Ebrahim Esmailzadeh. "Equations of Nonlinear Motion of Viscoelastic Beams." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84944.

Full text
Abstract:
A viscoelastic nonlinear beam with cubic nonlinearities is considered. In order to obtain the equations of nonlinear motion of the beam for large deformation vibrations, the Lagrangian dynamics and Hamilton principle is used. It is considered that the beam vibrates in two directions, one in longitudinal direction and the other in the transverse direction. Large amplitude vibrations cause the nonlinearities in inertia and geometry terms. Also, due to viscoelastic property of the beam, a nonlinear damping term is appeared in the equations of motion. Using the condition of inextensible beams, the equation of motion and boundary conditions of bending vibration of a Kelvin-Voigt viscoelastic beam has been obtained. Finally, if one considers the damping coefficient to be equal to zero in the obtained equation of motion of viscoelastic system then, an equation of motion for the elastic beam will be obtained.
APA, Harvard, Vancouver, ISO, and other styles
3

Gebert, Glenn, Phillip Gallmeier, and Johnny Evers. "Equations of Motion for Flapping Flight." In AIAA Atmospheric Flight Mechanics Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-4872.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

GEORGI, M., and N. JANGLE. "SPIRAL WAVE MOTION IN REACTION-DIFFUSION SYSTEMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0108.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Dressel, Andrew E., and Adeeb Rahman. "Benchmarking Bicycle and Motorcycle Equations of Motion." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47344.

Full text
Abstract:
In 2007, Meijaard, et al. [1] presented the canonical linearized equations of motion for the Whipple bicycle model along with test cases for checking alternative formulations of the equations of motion or alternative numerical solutions. This paper describes benchmarking three other implementations of bike equations of motion: the linearized equations for bicycles written by Papadopoulos and Schwab [2] in JBike6, the non-linear equations for bicycles outlined by Schwab [3] and implemented in MATLAB as a Cornell University class project, and the non-linear equations for motorcycles implemented in FastBike from the Motorcycle Dynamics Research Group at the University of Padua. [4] Some implementations are easier to benchmark than others. For example, JBike6 is designed to produce eigenvalues and easily exposes the coefficients of its linearized equations of motion. At the other extreme, the class project non-linear equations were not originally intended to generate eigenvalues and are implemented in a single 48×48 matrix. Finally, while FastBike does generate eigenvalues, its equations of motion incorporate tire and frame compliance, which cannot be completely disabled. Instead, the tire stiffness parameters must be increased, but not so much as to cause convergence errors in FastBike. In the end, all three implementations generate eigenvalues that match the published benchmark values to varying degrees. JBike6 comes the closest, with agreement of 12 digits or more. The class project is second, with agreement of 12 digits for most forward speeds, but with a loss of measurable agreement near the capsize speed due to a peak in the eigenvalue condition number. Unfortunately, FastBike is limited at this time to exporting eigenvalues with no more than two decimal places, and so agreement can only be found to ±0.005.
APA, Harvard, Vancouver, ISO, and other styles
6

Galleani, Lorenzo, and Leon Cohen. "Wigner equations of motion for classical systems." In International Symposium on Optical Science and Technology, edited by Franklin T. Luk. SPIE, 2000. http://dx.doi.org/10.1117/12.406530.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Ghosh, Sanjib K. "Image Motion Compensation Through Augmented Collinearity Equations." In 16th International Congress on High Speed Photography and Photonics, edited by Michel L. Andre and Manfred Hugenschmidt. SPIE, 1985. http://dx.doi.org/10.1117/12.968023.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Meurer, Thomas, and Mourad Saidani. "Motion planning for the 2D Stokes equations." In 2012 IEEE 51st Annual Conference on Decision and Control (CDC). IEEE, 2012. http://dx.doi.org/10.1109/cdc.2012.6426388.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Jeong, D. Y., M. L. Lyons, O. Orringer, and A. B. Perlman. "Equations of Motion for Train Derailment Dynamics." In ASME 2007 Rail Transportation Division Fall Technical Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/rtdf2007-46009.

Full text
Abstract:
This paper describes a planar or two-dimensional model to examine the gross motions of rail cars in a generalized train derailment. Three coupled, second-order differential equations are derived from Newton’s Laws to calculate rigid-body car motions with time. Car motions are defined with respect to a right-handed and fixed (i.e., non-rotating) reference frame. The rail cars are translating and rotating but not deforming. Moreover, the differential equations are considered as stiff, requiring relatively small time steps in the numerical solution, which is carried out using a FORTRAN computer code. Sensitivity studies are conducted using the purpose-built model to examine the relative effect of different factors on the derailment outcome. These factors include the number of cars in the train makeup, car mass, initial translational and rotational velocities, and coefficients of friction. Derailment outcomes include the number of derailed cars, maximum closing velocities (i.e., relative velocities between impacting cars), and peak coupler forces. Results from the purpose-built model are also compared to those from a model for derailment dynamics developed using commercial software for rigid-body dynamics called Automatic Dynamic Analysis of Mechanical Systems (ADAMS). Moreover, the purpose-built and the ADAMS models produce nearly identical results, which suggest that the dynamics are being calculated correctly in both models.
APA, Harvard, Vancouver, ISO, and other styles
10

Pradeep, S. "Formulation of equations of motion of aircraft." In 24th Atmospheric Flight Mechanics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-4319.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Equations of motion"

1

MacLachlan, J. A., and /Fermilab. Distinction between difference and differential equations of motion for synchrotron motion. Office of Scientific and Technical Information (OSTI), November 2007. http://dx.doi.org/10.2172/920428.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Uhlman, J. S., and Jr. An Integral Equation Formulation of the Equations of Motion of an Incompressible Fluid. Fort Belvoir, VA: Defense Technical Information Center, July 1992. http://dx.doi.org/10.21236/ada416252.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Courant E. D. Revised Spin Motion Equations Spin Motion and Resonances in Accelerators and Storage Rings. Office of Scientific and Technical Information (OSTI), January 2008. http://dx.doi.org/10.2172/1061883.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Parzen, George. Linear Orbits Parameters for the Exact Equations of Motion. Office of Scientific and Technical Information (OSTI), February 1994. http://dx.doi.org/10.2172/1119381.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Parzen, G. Linear orbit parameters for the exact equations of motion. Office of Scientific and Technical Information (OSTI), February 1994. http://dx.doi.org/10.2172/10126234.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

AIR FORCE TEST PILOT SCHOOL EDWARDS AFB CA. Volume II. Flying Qualities Phase. Chapter 4: Equations of Motion. Fort Belvoir, VA: Defense Technical Information Center, October 1988. http://dx.doi.org/10.21236/ada319975.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Hayek, Sabih I., and Jeffrey E. Boisvert. Equations of Motion for Nonaxisymmetric Vibrations of Prolate Spheroidal Shells. Fort Belvoir, VA: Defense Technical Information Center, February 2000. http://dx.doi.org/10.21236/ada377034.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Zeng, D., M. C. Richmond, C. S. Simmons, and T. J. Carlson. Six-degree-of-freedom Sensor Fish design - Governing equations and motion modeling. Office of Scientific and Technical Information (OSTI), July 2004. http://dx.doi.org/10.2172/1218164.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Deng, Zhiqun, Marshall C. Richmond, Carver S. Simmons, and Thomas J. Carlson. Six-Degree-of-Freedom Sensor Fish Design: Governing Equations and Motion Modeling. Office of Scientific and Technical Information (OSTI), August 2004. http://dx.doi.org/10.2172/15020939.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

HAYES, DENNIS BREWSTER. Backward Integration of the Equations of Motion to Correct for Free Surface Perturbations. Office of Scientific and Technical Information (OSTI), May 2001. http://dx.doi.org/10.2172/783087.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Equations of motion' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography