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Relevant bibliographies by topics / Generalized coordinates

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Academic literature on the topic 'Generalized coordinates'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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Journal articles on the topic "Generalized coordinates"

1

ROSENFELD, AZRIEL. "COORDINATE GRAMMARS REVISITED: GENERALIZED ISOMETRIC GRAMMARS." International Journal of Pattern Recognition and Artificial Intelligence 03, no. 03n04 (1989): 435–44. http://dx.doi.org/10.1142/s0218001489000322.

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In a "coordinate grammar", the rewriting rules replace sets of symbols having been given coordinates by sets of symbols whose coordinates are given functions of the coordinates of the original symbols. It was shown in 1972 that coordinate grammars are "too powerful"; even if the rules are all of finite-state types and the functions are all computable by finite transducers, the grammar has the power of a Turing machine. This paper shows that if we require the functions to be shift-invariant and the rules to be of bounded diameter, then such grammars do have a useful hierarchy of types; in fact,

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Ziegler, Franz, and Piotr Borejko. "The Method of Generalized Ray-Revisited." Journal of Mechanics 16, no. 2 (2000): 125–26. http://dx.doi.org/10.1017/s1727719100001696.

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In Section 2, ROTATION OF COORDINATES, the Authors derived the emittance functions in the Weyl-Sommerfeld representation of the wave potentials for a horizontal instantaneous single force from those known for a vertical force from conditions of invariance of the phase and amplitude of plane waves under coordinate rotation, Eqs. (10) ∼ (13) and (18) ∼ (20). That transformation implies the validity of the commonly applied identity for the (force) vector components when rotating the vector in the opposite sense to the coordinate rotation. Further, in the three-dimensional case, the vertical force

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Rodríguez, E., W. Sengupta, and A. Bhattacharjee. "Generalized Boozer coordinates: A natural coordinate system for quasisymmetry." Physics of Plasmas 28, no. 9 (2021): 092510. http://dx.doi.org/10.1063/5.0060115.

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ISLAMPOUR, R. "Generalized coordinates molecular Hamiltonian." Molecular Physics 101, no. 16 (2003): 2489–96. http://dx.doi.org/10.1080/0026897032000112883.

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Haug, E. J., and Jeng Yen. "Implicit Numerical Integration of Constrained Equations of Motion Via Generalized Coordinate Partitioning." Journal of Mechanical Design 114, no. 2 (1992): 296–304. http://dx.doi.org/10.1115/1.2916946.

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An implicit, stiffly stable numerical integration algorithm is developed and demonstrated for automated simulation of multibody dynamic systems. The concept of generalized coordinate partitioning is used to parameterize the constraint set with independent generalized coordinates. A stiffly stable, Backward Differentiation Formula (BDF) numerical integration algorithm is used to integrate independent generalized coordinates and velocities. Dependent generalized coordinates, velocities, and accelerations, as well as Lagrange multipliers that account for constraints, are explicitly retained in th

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6

Платонова, Marina Platonova, Драпалюк, Mikhail Drapalyuk, Платонов, and Aleksey Platonov. "Justification of kinematic scheme small of the manipulator forestry machines." Forestry Engineering Journal 5, no. 3 (2015): 234–39. http://dx.doi.org/10.12737/14652.

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This article discusses the the selection and justification of the reference system and of the generalized coordinates for the kinematic scheme developed by of the manipulator taking into account these factors. The absolute (inertial) coordinate system associated with the center of the support member (eg turntable), joins the arm to the base machine and the subsequent coordinate system formed in accordance with the rules. On the whole, to describe the position of the investigated little detail of the manipulator in the space of generalized coordinates must be four and five right-hand orthogonal

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Shragge, Jeff. "Angle-domain common-image gathers in generalized coordinates." GEOPHYSICS 74, no. 3 (2009): S47—S56. http://dx.doi.org/10.1190/1.3103248.

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The theory of angle-domain common-image gathers (ADCIGs) is extended to migrations performed in generalized 2D coordinate systems. I have developed an expression linking the definition of reflection opening angle to differential traveltime operators and spatially varying weights derived from the non-Cartesian geometry. Generalized-coordinate ADCIGs can be calculated directly using Radon-based offset-to-angle approaches for coordinate systems satisfying the Cauchy-Riemann differentiability criteria. The canonical examples of tilted-Cartesian, polar, and elliptical coordinates can be used to ill

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Khomasuridze, N. "Thermoelastic Equilibrium of Bodies in Generalized Cylindrical Coordinates." gmj 5, no. 6 (1998): 521–44. http://dx.doi.org/10.1515/gmj.1998.521.

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Abstract Using the method of separation of variables, an exact solution is constructed for some boundary value and boundary-contact problems of thermoelastic equilibrium of one- and multilayer bodies bounded by the coordinate surfaces of generalized cylindrical coordinates ρ, α, 𝑧. ρ, α are the orthogonal coordinates on the plane and 𝑧 is the linear coordinate. The body, occupying the domain Ω = {ρ 0 < ρ < ρ 1, α 0 < α < α 1, 0 < 𝑧 < 𝑧1}, is subjected to the action of a stationary thermal field and surface disturbances (such as stresses, displacements, or their combinations)

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Arias, C., and L. F. Duque. "Seismic migration in generalized coordinates." Journal of Physics: Conference Series 850 (June 2017): 012018. http://dx.doi.org/10.1088/1742-6596/850/1/012018.

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Garcı́a-Perciante, Ana Laura, Alfredo Sandoval-Villalbazo, and L. S. Garcı́a-Colı́n. "Kaluza’s theory in generalized coordinates." Journal of Mathematical Physics 42, no. 12 (2001): 5785–99. http://dx.doi.org/10.1063/1.1412463.

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Dissertations / Theses on the topic "Generalized coordinates"

1

Davis, Simon. "Connections and generalized gauge transformations." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2646/.

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The derivation of the standard model from a higher-dimensional action suggests a further study of the fibre bundle formulation of gauge theories to determine the variations in the choice of structure group that are allowed in this geometrical setting. The action of transformations on the projection of fibres to their submanifolds are characteristic of theories with fewer gauge vector bosons, and specific examples are given, which may have phenomenological relevance. The spinor space for the three generations of fermions in the standard model is described algebraically.

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Gillette, Andrew, and Alexander Rand. "INTERPOLATION ERROR ESTIMATES FOR HARMONIC COORDINATES ON POLYTOPES." EDP SCIENCES S A, 2016. http://hdl.handle.net/10150/621355.

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Interpolation error estimates in terms of geometric quality measures are established for harmonic coordinates on polytopes in two and three dimensions. First we derive interpolation error estimates over convex polygons that depend on the geometric quality of the triangles in the constrained Delaunay triangulation of the polygon. This characterization is sharp in the sense that families of polygons with poor quality triangles in their constrained Delaunay triangulations are shown to produce large error when interpolating a basic quadratic function. Non-convex polygons exhibit a similar limitati

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SUBRAMANIAN, SUCHITHA. "PROTEIN STRUCTURE ALIGNMENT USING A GENERALIZED ALIGNMENT MODEL." University of Cincinnati / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1191966691.

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Garcia, Batista Deyka Irina. "Solvability of the direct Lyapunov first matching condition in terms of the generalized coordinates." Diss., Kansas State University, 2012. http://hdl.handle.net/2097/13736.

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Doctor of Philosophy<br>Department of Mechanical and Nuclear Engineering<br>Warren N. White<br>There are a number of different types of mechanical systems which can be termed as underactuated. The degrees of freedom (DOF) of a system are defined by the system’s number of independent movements. Underactuated mechanical systems have fewer actuators than DOF. Some examples such as satellites, air craft, overhead crane loads, and missiles have at least one unactuated DOF. The work presented here develops a nonlinear control law for the asymptotic stabilization of underactuated systems. This

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Braga, João Philipe Macedo. "Técnica Split Operator em Coordenadas Generalizadas." reponame:Repositório Institucional da UFC, 2010. http://www.repositorio.ufc.br/handle/riufc/7721.

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BRAGA, João Philipe Macedo. Técnica split operator em coordenadas generalizadas. 2010. 84 f. Dissertação (Mestrado em Física) - Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2010.<br>Submitted by francisco lima (admir@ufc.br) on 2014-03-18T12:27:21Z No. of bitstreams: 1 2010_dis_jpmbraga.pdf: 953031 bytes, checksum: 788517c406c012d339bc8fe1d2fb7079 (MD5)<br>Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2014-03-18T21:51:08Z (GMT) No. of bitstreams: 1 2010_dis_jpmbraga.pdf: 953031 bytes, checksum: 788517c406c012d339bc8fe1d2f

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Ljungberg, Malin. "Design of High Performance Computing Software for Genericity and Variability." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis Acta Universitatis Upsaliensis, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7768.

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Braga, JoÃo Philipe Macedo. "TÃcnica Split Operator em Coordenadas Generalizadas." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5493.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>A mecÃnica quÃntica desempenha um papel fundamental na descriÃÃo e entendimento dos fenÃmenos naturais. De fato, os fenÃmenos que ocorrem em uma escala muito pequena (atÃmica ou sub-atÃmica) nÃo podem ser corretamente explicados fora do contexto da mecÃnica quÃntica. AlÃm disso, existem muitos fenÃmenos em escala macroscÃpica que revelam o comportamento quÃntico da natureza. Nesse sentido, podemos dizer que a mecÃnica quÃntica Ã a base de todo nosso atual conhecimento sobre os fenÃmenos naturais. O estado de uma partÃcula em quÃn

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CORREIA, Balbina Raquel de Brito. "Simulação de reservatórios de petróleo com geometria complexa via método dos volumes finitos e coordenadas generalizadas." Universidade Federal de Campina Grande, 2016. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/512.

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Submitted by Kilvya Braga (kilvyabraga@hotmail.com) on 2018-04-27T11:04:15Z No. of bitstreams: 1 BALBINA RAQUEL DE BRITO CORREIA - DISSERTAÇÃO (PPGEM) 2016.pdf: 6215965 bytes, checksum: 1bfd34b81d73a0bb406a5054fcdbdd3a (MD5)<br>Made available in DSpace on 2018-04-27T11:04:15Z (GMT). No. of bitstreams: 1 BALBINA RAQUEL DE BRITO CORREIA - DISSERTAÇÃO (PPGEM) 2016.pdf: 6215965 bytes, checksum: 1bfd34b81d73a0bb406a5054fcdbdd3a (MD5) Previous issue date: 2016-08-16<br>CNPq<br>A simulação numérica é uma ferramenta utilizada para modelar e estudar reservatórios de petróleo de forma a auxiliar n

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Jain, Sumit. "Exploiting contacts for interactive control of animated human characters." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/44817.

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One of the common research goals in disciplines such as computer graphics and robotics is to understand the subtleties of human motion and develop tools for recreating natural and meaningful motion. Physical simulation of virtual human characters is a promising approach since it provides a testbed for developing and testing control strategies required to execute various human behaviors. Designing generic control algorithms for simulating a wide range of human activities, which can robustly adapt to varying physical environments, has remained a primary challenge. This dissertation introduces me

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Shragge, Jeffrey. "Wave-equation migration in generalized coordinate systems /." May be available electronically:, 2009. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Books on the topic "Generalized coordinates"

1

Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, Ames Research Center, 1987.

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Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, Ames Research Center, 1987.

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Panaras, Argyris G. Boundary-layer equations in generalized curvilinear coordinates. Ames Research Center, 1987.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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Lee, Jong-Hun. Hypersonic three-dimensional nonequilibrium boundary-layer equations in generalized curvilinear coordinates. National Aeronautics and Space Administration, 1993.

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7

Intrinsic geodesy. Springer-Verlag, 1985.

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Hormann, Kai, and N. Sukumar, eds. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. CRC Press, 2017. http://dx.doi.org/10.1201/9781315153452.

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Differential geodesy. Springer-Verlag, 1991.

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Zund, Joseph. Foundations of differential geodesy. Springer-Verlag, 1994.

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Book chapters on the topic "Generalized coordinates"

1

Greiner, Walter. "Generalized Coordinates." In Classical Mechanics. Springer New York, 2002. http://dx.doi.org/10.1007/978-0-387-21543-3_14.

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Ardema, Mark D. "Generalized Coordinates." In Analytical Dynamics. Springer US, 2005. http://dx.doi.org/10.1007/0-306-48682-2_5.

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Greiner, Walter. "Generalized Coordinates." In Classical Mechanics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03434-3_14.

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Røed, Lars Petter. "Generalized Vertical Coordinates." In Springer Textbooks in Earth Sciences, Geography and Environment. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93864-6_8.

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D’haeseleer, William Denis, William Nicholas Guy Hitchon, James D. Callen, and J. Leon Shohet. "Canonical Coordinates or “Generalized Magnetic Coordinates”." In Flux Coordinates and Magnetic Field Structure. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-75595-8_9.

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Paz, Mario. "Generalized Coordinates and Rayleigh’s Method." In Structural Dynamics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4684-0018-2_6.

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Paz, Mario. "Generalized Coordinates and Rayleigh’s Method." In Structural Dynamics. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7918-2_6.

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Paz, Mario, and William Leigh. "Generalized Coordinates and Rayleigh’s Method." In Structural Dynamics. Springer US, 2004. http://dx.doi.org/10.1007/978-1-4615-0481-8_21.

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Paz, Mario. "Generalized Coordinates and Rayleigh’s Method." In Structural Dynamics. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-9907-0_6.

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Punzo, Lionello F. "Harrodian Macrodynamics in Generalized Coordinates." In Growth Cycles and Multisectoral Economics: the Goodwin Tradition. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-49274-7_3.

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Conference papers on the topic "Generalized coordinates"

1

Spry, S., and J. K. Hedrick. "Formation control using generalized coordinates." In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). IEEE, 2004. http://dx.doi.org/10.1109/cdc.2004.1428775.

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Haug, E. J., and J. Yen. "Implicit Numerical Integration of Constrained Equations of Motion via Generalized Coordinate Partitioning." In ASME 1989 Design Technical Conferences. American Society of Mechanical Engineers, 1989. http://dx.doi.org/10.1115/detc1989-0114.

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Abstract An implicit, stiffly stable numerical integration algorithm is developed and demonstrated for automated simulation of multibody dynamic systems. The concept of generalized coordinate partitioning is used to parameterize the constraint set with independent generalized coordinates. A stiffly stable, backward difference numerical integration algorithm is applied to determine independent generalized coordinates and velocities. Dependent generalized coordinates, velocities, and accelerations, as well as Lagrange multipliers that account for constraints, are explicitly retained in the formu

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Carcione, Jose M. "The wave equation in generalized coordinates." In SEG Technical Program Expanded Abstracts 1993. Society of Exploration Geophysicists, 1993. http://dx.doi.org/10.1190/1.1822343.

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Balaji, Bhashyam, and Karl Friston. "Bayesian state estimation using generalized coordinates." In SPIE Defense, Security, and Sensing, edited by Ivan Kadar. SPIE, 2011. http://dx.doi.org/10.1117/12.883513.

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Kermani, M., and E. Plett. "Roe scheme in generalized coordinates. I - Formulations." In 39th Aerospace Sciences Meeting and Exhibit. American Institute of Aeronautics and Astronautics, 2001. http://dx.doi.org/10.2514/6.2001-86.

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Johnson, E. R., and T. D. Murphey. "Linearizations for mechanical systems in generalized coordinates." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5531096.

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Shragge, Jeff. "Angle‐domain common‐image gathers in generalized coordinates." In SEG Technical Program Expanded Abstracts 2008. Society of Exploration Geophysicists, 2008. http://dx.doi.org/10.1190/1.3059328.

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Serban, Radu, and Edward J. Haug. "Globally Independent Coordinates for Real-Time Vehicle System Simulation." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/dac-5587.

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Abstract Models of the dynamics of multibody systems generally result in a set of differential–algebraic equations (DAE). State–space methods for solving the DAE of motion are based on reduction of the DAE to ordinary differential equations (ODE), by means of local parameterizations of the constraint manifold that must be often modified during a simulation. In this paper it is shown that, for vehicle multibody systems, generalized coordinates that are dual to suspension and/or control forces in the model are independent for the entire range of motion of the system. In addition to the immediate

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Yakoub, R. Y., and A. A. Shabana. "A Numerical Approach to Solving Flexible Multibody Systems Using the Absolute Nodal Coordinate Formulation." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8204.

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Abstract By utilizing the fact that the absolute nodal coordinate formulation leads to a constant mass matrix, a Cholesky decomposition of the mass matrix can be used to obtain a constant velocity transformation matrix. This velocity transformation can be used to express the absolute nodal coordinates in terms of the generalized Cholesky coordinates. In this case, the inertia matrix associated with the Cholesky coordinates is the identity matrix, and therefore, an optimum sparse matrix structure can be obtained for the augmented multibody equations of motions. The implementation of a computer

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BRANKOVIC, ANDREJA, and SAADAT SYED. "Validation of Reynolds stress turbulence model in generalized coordinates." In 22nd Fluid Dynamics, Plasma Dynamics and Lasers Conference. American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-1782.

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Reports on the topic "Generalized coordinates"

1

Lee, Chang Jae. NMR with generalized dynamics of spin and spatial coordinates. Office of Scientific and Technical Information (OSTI), 1987. http://dx.doi.org/10.2172/5505828.

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Shi, Fengyan, Robert A. Dalrymple, James T. Kirby, Qin Chen, and Andrew Kennedy. A Fully Nonlinear Boussinesq Model in Generalized Curvilinear Coordinates. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada379007.

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Hallberg, Robert, Rainer Bleck, Eric Chassignet, et al. A Vision for Ocean Circulation Models: Generalized Vertical Coordinates. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada593098.

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Cook, W. A. Generalized finite strains, generalized stresses, and a hybrid variational principle for finite-element computer programs using curvilinear coordinates. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6288515.

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Arakawa, Akio, and C. S. Konor. Development of an atmospheric model based on a generalized vertical coordinate. Final report, September 12, 1991--August 31, 1997. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/666238.

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Blaha, Georges. Generalized Latitude and Longitude in a General Riemannian Space, with a Specialization for Hotine's (Omega, Phi, Nu) Coordinate System. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada235584.

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