Bücher: „Mechanical constraint“

1

M, Hackett E., Schwalbe K. -H und Dodds R. H. 1955-, Hrsg. Constraint effects in fracture. Philadelphia, PA: ASTM, 1993.

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2

Gajewski, Antoni. Optimal structural design under stability constraints. Dordrecht: Kluwer Academic Publishers, 1988.

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3

Joyce, J. A. Effects of tensile loading on upper shelf fracture toughness. Washington, DC: Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1994.

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4

Hermann, Robert. Constrained mechanics and Lie theory. Brookline, Mass: Math Sci Press, 1992.

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5

1961-, Kirk Mark, und Bakker Ad 1946-, Hrsg. Constraint effects in fracture theory and applications: Second volume. Philadelphia, PA, U.S.A: ASTM, 1995.

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6

Gajewski, Antoni. Optimal Structural Design under Stability Constraints. Dordrecht: Springer Netherlands, 1988.

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7

Leine, Remco I., und Nathan van de Wouw, Hrsg. Stability and Convergence of Mechanical Systems with Unilateral Constraints. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-76975-0.

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8

de, Wouw Nathan van, Hrsg. Stability and convergence of mechanical systems with unilateral constraints. Berlin: Springer, 2008.

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9

F, Shih C., Anderson T. L. 1957-, U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., University of Illinois at Urbana-Champaign. Dept. of Civil Engineering., Brown University. Division of Engineering., Texas A & M University. Dept. of Mechanical Engineering. und Naval Surface Warfare Center (U.S.). Annapolis Detachment., Hrsg. Continuum and micromechanics treatment of constraint in fracture. Washington, DC: Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1993.

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10

U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering Technology., Valtion teknillinen tutkimuskeskus, University of Illinois at Urbana-Champaign. Dept. of Civil Engineering. und Naval Surface Warfare Center (U.S.), Hrsg. Numerical investigation of 3-D contraint effects on brittle fracture in SE(B) and C(T) specimens. Washington, DC: Division of Engineering Technology, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1996.

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11

Mahmoud, Magdi S. Decentralized systems with design constraints. London: Springer-Verlag London Limited, 2011.

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12

Jensen, Henrik Myhre. Fracture analysis of the constrained blister test. [S.l.]: The Danish Center for Applied Mathematics and Mechanics, The Technical University of Denmark, 1993.

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13

Kazerooni, Homayoon. A robust design method for impedance control of constrained dynamic systems. Cambridge: MIT Sea Grant College Program, Massachusetts Institute of Technology, 1985.

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14

Wachsmuth, Jakob. Effective Hamiltonians for constrained quantum systems. Providence, Rhode Island: American Mathematical Society, 2013.

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15

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

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16

Shen, Y. L. Constrained Deformation of Materials: Devices, Heterogeneous Structures and Thermo-Mechanical Modeling. Boston, MA: Springer Science+Business Media, LLC, 2010.

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17

Benedict, Leimkuhler, Hrsg. Formulation and numerical solution of the equations of constrained mechanical motion. Köln: DFVLR, 1989.

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18

Piunovskiy, A. B. Optimal Control of Random Sequences in Problems with Constraints. Dordrecht: Springer Netherlands, 1997.

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19

Pillai, G. Balachandran. Constraints on diffusion and adoption of agro-mechanical technology in rice cultivation in Kerala. Thiruvananthapuram: Kerala Research Programme on Local Level Development, Centre for Development Studies, 2004.

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20

1952-, Dodds R. H., U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering Technology., University of Illinois at Urbana-Champaign. Dept. of Civil Engineering. und Naval Surface Warfare Center (U.S.). Annapolis Detachment., Hrsg. Size and deformation limits to maintain constraint in KIc and Jc testing of bend specimens. Washington, DC: Division of Engineering Technology, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1995.

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21

M, Shum D. K., Keeney-Walker J, U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering. und Oak Ridge National Laboratory, Hrsg. Constraint effects on fracture toughness for circumferentially oriented cracks in reactor pressure vessels. Washington, DC: Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1992.

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22

Takács, Gergely. Model Predictive Vibration Control: Efficient Constrained MPC Vibration Control for Lightly Damped Mechanical Structures. London: Springer London, 2012.

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23

C, Newman J., Bigelow C. A und Langley Research Center, Hrsg. Three-dimensional CTOA and constraint effects during stable tearing in a thin-sheet material. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1995.

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24

C, Newman J., Bigelow C. A und Langley Research Center, Hrsg. Three-dimensional CTOA and constraint effects during stable tearing in a thin-sheet material. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1995.

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25

Davids, K. Dynamics of skill acquisition: A constraints-led approach. Champaign, IL: Human Kinetics, 2008.

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26

J, Liu Andrea, und Nagel Sidney R, Hrsg. Jamming and rheology: Constrained dynamics on microscopic and macroscopic scales. London: Taylor & Francis, 2001.

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27

F, Brust, Dong P, American Society of Mechanical Engineers. Pressure Vessels and Piping Division. und Pressure Vessels and Piping Conference (2002 : Vancouver, British Columbia), Hrsg. Computational weld mechanics, constraint, and weld fracture: Presented at the 2002 ASME Pressure Vessels and Piping Conference : Vancouver, British Columbia, Canada, August 5-9, 2002. New York: American Society of Mechanical Engineers, 2002.

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28

United States. National Aeronautics and Space Administration., Hrsg. Guidebook for analysis of tether applications. [Washington, DC: National Aeronautics and Space Administration, 1985.

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29

United States. National Aeronautics and Space Administration., Hrsg. Guidebook for analysis of tether applications: Final report on contract RH4-394049 with the Martin Marietta Corporation. [Washington, DC: National Aeronautics and Space Administration, 1985.

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30

Mrzygłód, Mirosław. Algorytm optymalizacji topologicznej konstrukcji ciągłych z ograniczeniami zmęczeniowymi: Algorithm of topology optimization of continuous structures with fatigue constraints = [Algoritm topologicheskoĭ optimizat︠s︡ii nepreryvnykh konstrukt︠s︡ii s ustalostnymi ogranichenii︠a︡mi]. Kraków: Politechnika Krakowska im. Tadeusza Kościuszki, 2013.

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31

Hatheway, Alson E. Optomechanical Constraint Equations: Theory and Applications. SPIE, 2016.

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32

Mann, Peter. Liouville’s Theorem & Classical Statistical Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0020.

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This chapter returns to the discussion of constrained Hamiltonian dynamics, now in the canonical setting, including topics such as regular Lagrangians, constraint surfaces, Hessian conditions and the constrained action principle. The standard approach to Hamiltonian mechanics is to treat all the variables as being independent; in the constrained case, a constraint function links the variables so they are no longer independent. In this chapter, the Dirac–Bergmann theory for singular Lagrangians is developed, using an action-based approach. The chapter then investigates consistency conditions and Dirac’s different types of constraints (i.e. first-class constraints, second-class constraints, primary constraints and secondary constraints) before deriving the Dirac bracket from simple arguments. The Jackiw–Fadeev constraint formulation is then discussed before the chapter closes with the Güler formulation for a constrained Hamilton–Jacobi theory.

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33

Kamm, Lawrence J. Designing Cost-Efficient Mechanisms: Minimum Constraint Design, Designing With Commercial Components, and Topics in Design Engineering. Mcgraw-Hill (Tx), 1990.

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34

Designing cost-efficient mechanisms: Minimum constraint design, designing with commercial components, and topics in design engineering. Warrendale, PA, U.S.A: Society of Automotive Engineers, 1993.

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35

Designing Cost-Efficient Mechanisms: Minimum Constraint Design, Designing With Commercial Components, and Topics in Design Engineering. Mcgraw-Hill (Tx), 1990.

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36

Mann, Peter. Constrained Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0008.

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This chapter builds on the previous two chapters to tackle constrained systems, using Lagrangian mechanics and constrained variations. The first section deals with holonomic constraint equations using Lagrange multipliers; these can be used to reduce the number of coordinates until a linearly independent minimal set is obtained that describes a constraint surface within configuration space, so that Lagrange equations can be set up and solved. Motion is understood to be confined to a constraint submanifold. The variational formulation of non-holonomic constraints is then discussed to derive the vakonomic formulation. These erroneous equations are then compared to the central Lagrange equation, and the precise nature of the variations used in each formulation is investigated. The vakonomic equations are then presented in their Suslov form (Suslov–vakonomic form) in an attempt to reconcile the two approaches. In addition, the structure of biological membranes is framed as a constrained optimisation problem.

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37

Control of Mechanical Systems With Constraints: Compliant Control of Constrained Robot Manipulators. World Scientific Pub Co Inc, 2004.

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38

Coolen, A. C. C., A. Annibale und E. S. Roberts. Ensembles with hard constraints. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198709893.003.0005.

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This chapter introduces random graph ensembles involving hard constraints such as setting a fixed total number of links or fixed degree sequence, including properties of the partition function. It continues on from the previous chapter’s investigation of ensembles with soft-constrained numbers of two-stars (two-step paths) and soft-constrained total number of triangles, but now combined with a hard constraint on the total number of links. This illustrates phase transitions in a mixed-constrained ensemble – which in this case is shown to be a condensation transition, where the network becomes clumped. This is investigated in detail using techniques from statistical mechanics and also looking at the averaged eigenvalue spectrum of the ensemble. These phase transition phenomena have important implications for the design of graph generation algorithms. Although hard constraints can (by force) impose required values of observables, difficult-to-reconcile constraints can lead to graphs being generated with unexpected and unphysical overall topologies.

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39

Wouw, Nathan van de, und Remco I. Leine. Stability and Convergence of Mechanical Systems with Unilateral Constraints. Springer, 2010.

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40

Mann, Peter. Coordinates & Constraints. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0006.

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This short chapter introduces constraints, generalised coordinates and the various spaces of Lagrangian mechanics. Analytical mechanics concerns itself with scalar quantities of a dynamic system, namely the potential and kinetic energies of the particle; this approach is in opposition to Newton’s method of vectorial mechanics, which relies upon defining the position of the particle in three-dimensional space, and the forces acting upon it. The chapter serves as an informal, non-mathematical introduction to differential geometry concepts that describe the configuration space and velocity phase space as a manifold and a tangent, respectively. The distinction between holonomic and non-holonomic constraints is discussed, as are isoperimetric constraints, configuration manifolds, generalised velocity and tangent bundles. The chapter also introduces constraint submanifolds, in an intuitive, graphic format.

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41

Astolfi, Alessandro, und Antonio Tornarnbe. Modeling and Control of Constrained Mechanical Systems. Springer, 2001.

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42

Siebert, Stefan, Sengupta Raj und Alexander Tsoukas. Complications of axial spondyloarthritis. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780198755296.003.0009.

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In addition to the well-recognized extra-articular manifestations (EAMs) of ankylosing spondylitis (AS), this condition can also be associated with a number of clinically important complications. While EAMs are considered part of the spondyloarthritis (SpA), the complications are generally a consequence of having the disease. Patients with AS are at increased risk of osteoporosis and spinal fractures. The latter may occur after seemingly minor trauma and may lead to significant neurological compromise. Other potential neurological complications include atlantoaxial subluxation and compressive radiculopathy or myelopathy. Cardiac complications include cardiovascular events, valvular disease, and conduction disturbances. Pulmonary disease in AS relates to parenchymal involvement or mechanical constraint from chest wall inflammation. Renal disease is generally rare in AS.

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43

(Editor), Frederick W. Brust, P. Dong (Editor) und Keim E. (Editor), Hrsg. 2002 Computational Weld Mechanics, Constraint, And Weld Fracture. Amer Society of Mechanical, 2002.

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44

Remco I. Leine,Nathan Wouw. Stability and Convergence of Mechanical Systems with Unilateral Constraints. Springer, 2008.

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45

Mann, Peter. Virtual Work & d’Alembert’s Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0013.

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This chapter discusses virtual work, returning to the Newtonian framework to derive the central Lagrange equation, using d’Alembert’s principle. It starts off with a discussion of generalised force, applied force and constraint force. Holonomic constraints and non-holonomic constraint equations are then investigated. The corresponding principles of Gauss (Gauss’s least constraint) and Jourdain are also documented and compared to d’Alembert’s approach before being generalised into the Mangeron–Deleanu principle. Kane’s equations are derived from Jourdain’s principle. The chapter closes with a detailed covering of the Gibbs–Appell equations as the most general equations in classical mechanics. Their reduction to Hamilton’s principle is examined and they are used to derive the Euler equations for rigid bodies. The chapter also discusses Hertz’s least curvature, the Gibbs function and Euler equations.

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46

McGinnis, Brian D. An object oriented representation for mechanical design based on constraints. 1990.

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47

Mahmoud, Magdi S. Decentralized Systems with Design Constraints. Springer London, Limited, 2011.

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48

Mahmoud, Magdi S. Decentralized Systems with Design Constraints. Springer, 2011.

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49

Mahmoud, Magdi S. Decentralized Systems with Design Constraints. Springer, 2014.

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50

Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu structures, the Nambu bracket and the Lagrange bracket. It describes Poisson bi-vector fields, Poisson structures, the Lie–Poisson bracket and the Lie–Poisson reduction, as well as Lie algebra, the Lie bracket and Lie algebra homomorphisms. Other topics include Casimir functions, momentum maps, the Euler–Poincaré equation, fibre derivatives and the geodesic equation. The chapter concludes by looking at deformation quantisation of the Poisson algebra, using the Moyal bracket and C*-algebras to develop a quantum physics.

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Bücher zum Thema „Mechanical constraint“

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