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Статті в журналах з теми "Mechanics of rigid bodies"

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Автор: Grafiati

Опубліковано: 6 вересня 2023

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1

Sławianowski, Jan Jerzy, Vasyl Kovalchuk, Barbara Gołubowska, Agnieszka Martens, and Ewa Eliza Rożko. "Quantized mechanics of affinely rigid bodies." Mathematical Methods in the Applied Sciences 40, no. 18 (July 19, 2017): 6900–6918. http://dx.doi.org/10.1002/mma.4501.

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2

Steigmann, David J. "On pseudo-rigid bodies." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2066 (December 13, 2005): 559–65. http://dx.doi.org/10.1098/rspa.2005.1573.

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Анотація:

The concept of the pseudo-rigid body , a model of hypothetical bodies constrained to deform homogeneously, is discussed critically. An analysis is given of a recent attempt, published in this journal, to establish this model on the basis of continuum mechanics.

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3

Grekova, E. "Moment Interactions of Rigid Bodies." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 80, S2 (2000): 347–48. http://dx.doi.org/10.1002/zamm.20000801445.

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4

Marquina, J. E., M. L. Marquina, V. Marquina, and J. J. Hernández-Gómez. "Leonhard Euler and the mechanics of rigid bodies." European Journal of Physics 38, no. 1 (October 21, 2016): 015001. http://dx.doi.org/10.1088/0143-0807/38/1/015001.

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5

Sideris, Petros, and Andre Filiatrault. "Seismic Response of Squat Rigid Bodies on Inclined Planes with Rigid Boundaries." Journal of Engineering Mechanics 140, no. 1 (January 2014): 149–58. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000658.

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6

Iwai, Toshihiro. "The geometry and mechanics of generalized pseudo-rigid bodies." Journal of Physics A: Mathematical and Theoretical 43, no. 9 (February 15, 2010): 095206. http://dx.doi.org/10.1088/1751-8113/43/9/095206.

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7

Maggiorini, Dario, Laura Anna Ripamonti, and Federico Sauro. "Unifying Rigid and Soft Bodies Representation: The Sulfur Physics Engine." International Journal of Computer Games Technology 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/485019.

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Анотація:

Video games are (also) real-time interactive graphic simulations: hence, providing a convincing physics simulation for each specific game environment is of paramount importance in the process of achieving a satisfying player experience. While the existing game engines appropriately address many aspects of physics simulation, some others are still in need of improvements. In particular, several specific physics properties of bodies not usually involved in the main game mechanics (e.g., properties useful to represent systems composed by soft bodies), are often poorly rendered by general-purpose engines. This issue may limit game designers when imagining innovative and compelling video games and game mechanics. For this reason, we dug into the problem of appropriately representing soft bodies. Subsequently, we have extended the approach developed for soft bodies to rigid ones, proposing and developing a unified approach in a game engine: Sulfur. To test the engine, we have also designed and developed “Escape from Quaoar,” a prototypal video game whose main game mechanic exploits an elastic rope, and a level editor for the game.

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8

Federico, Salvatore, and Mawafag Alhasadi. "Inverse dynamics in rigid body mechanics." Theoretical and Applied Mechanics, no. 00 (2022): 11. http://dx.doi.org/10.2298/tam221109011f.

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Анотація:

Inverse Dynamics is used to calculate the forces and moments in the joints of multibody systems investigated in fields such as Biomechanics or Robotics. In a didactic spirit, this paper begins with an overview of the derivations of the kinematical and dynamical equations of rigid bodies from the point of view of modern Continuum Mechanics. Then, it introduces a matrix formulation for the solution of Inverse Dynamics problems and, finally, reports a simple two-dimensional example of application to a problem in Biomechanics.

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9

White, M. W. D., and G. R. Heppler. "Vibration Modes and Frequencies of Timoshenko Beams With Attached Rigid Bodies." Journal of Applied Mechanics 62, no. 1 (March 1, 1995): 193–99. http://dx.doi.org/10.1115/1.2895902.

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Анотація:

The equations of motion and boundary conditions for a free-free Timoshenko beam with rigid bodies attached at the endpoints are derived. The natural boundary conditions, for an end that has an attached rigid body, that include the effects of the body mass, first moment of mass, and moment of inertia are included. The frequency equation for a free-free Timoshenko beam with rigid bodies attached at its ends which includes all the effects mentioned above is presented and given in terms of the fundamental frequency equations for Timoshenko beams that have no attached rigid bodies. It is shown how any support / rigid-body condition may be easily obtained by inspection from the reported frequency equation. The mode shapes and the orthogonality condition, which include the contribution of the rigid-body masses, first moments, and moments of inertia, are also developed. Finally, the effect of the first moment of the attached rigid bodies is considered in an illustrative example.

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10

Zabuga, A. G. "Modeling the Collision with Friction of Rigid Bodies." International Applied Mechanics 52, no. 5 (September 2016): 557–62. http://dx.doi.org/10.1007/s10778-016-0776-0.

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11

Palffy-Muhoray, Peter, Epifanio G. Virga, Mark Wilkinson, and Xiaoyu Zheng. "On a paradox in the impact dynamics of smooth rigid bodies." Mathematics and Mechanics of Solids 24, no. 3 (January 31, 2018): 573–97. http://dx.doi.org/10.1177/1081286517751262.

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Анотація:

Paradoxes in the impact dynamics of rigid bodies are known to arise in the presence of friction. We show here that, on specific occasions, in the absence of friction, the conservation laws of classical mechanics are also incompatible with the collisions of smooth, strictly convex rigid bodies. Under the assumption that the impact impulse is along the normal direction to the surface at the contact point, two convex rigid bodies that are well separated can come into contact, and then interpenetrate each other. This paradox can be demonstrated in both 2D and 3D when the collisions are tangential, in which case no momentum or energy transfer between the two bodies is possible. The postcollisional interpenetration can be realized through the contact points or through neighboring points only. The penetration distance is shown to be [Formula: see text]. The conclusion is that rigid-body dynamics is not compatible with the conservation laws of classical mechanics.

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12

Li, Li, and J. Kim Vandiver. "Wave Propagation in Strings with Rigid Bodies." Journal of Vibration and Acoustics 117, no. 4 (October 1, 1995): 493–500. http://dx.doi.org/10.1115/1.2874489.

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This paper studies wave propagation in strings with rigid bodies using the method of transfer matrices. The transmission property of a single rigid body is investigated. It is found that when the size of a rigid body is included, a symmetrically defined rigid body will transmit wave energy completely at a non-zero frequency defined by the tension, the length of the body, the mass of the string replaced by the body, and the mass of the body. Using the concept of impedance matching, the effect of a discontinuity on wave transmission in an infinite string system is revealed. The same idea is extended to the study of wave propagation in a string with multiple, equally-spaced rigid bodies (a periodic structure). The input impedance of such a system and the conditions of complete transmission are expressed in terms of the transfer matrix. The input impedance is used to identify the frequencies at which there is complete wave transmission. These frequencies are related to the natural frequencies of the corresponding finite system and constitute the so-called propagation zones. The results of this work may be applied to the propagation of vibration in complex cable systems such as oceanographic moorings.

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13

Cohen, H., and G. P. Mac Sithigh. "Impulsive Motions of Elastic Pseudo-Rigid Bodies." Journal of Applied Mechanics 58, no. 4 (December 1, 1991): 1042–48. http://dx.doi.org/10.1115/1.2897680.

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Анотація:

We develop the formalism for treating impact problems in the theory of pseudorigid bodies developed by Cohen and Muncaster. Our treatment is general enough to include the effect of kinematical constraints.

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14

Solodovnikov, V. N. "Theory of normal contact of rigid bodies." Journal of Applied Mechanics and Technical Physics 41, no. 1 (January 2000): 115–19. http://dx.doi.org/10.1007/bf02465245.

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15

Cohen, H., and G. P. Mac Sithigh. "Plane motions of elastic pseudo-rigid bodies." Journal of Elasticity 21, no. 2 (April 1989): 193–226. http://dx.doi.org/10.1007/bf00040895.

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16

O’Reilly, O. M. "On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid Bodies." Journal of Applied Mechanics 64, no. 4 (December 1, 1997): 969–74. http://dx.doi.org/10.1115/1.2789008.

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Анотація:

In this paper, expressions are established for certain relative rotations which arise in motions of rigid bodies. A comparison of these results with existing relations for geometric phases in the motions of rigid bodies provides alternative expressions of, and computational methods for, the relative rotation. The computational aspects are illustrated using several examples from rigid-body dynamics: namely, the moment-free motion of a rigid body, rolling disks, and sliding disks.

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17

Pfister, F. "A dynamical formalism for unrooted systems of rigid bodies." Acta Mechanica 112, no. 1-4 (March 1995): 203–21. http://dx.doi.org/10.1007/bf01177489.

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18

Brach, Raymond M. "Rigid Body Collisions." Journal of Applied Mechanics 56, no. 1 (March 1, 1989): 133–38. http://dx.doi.org/10.1115/1.3176033.

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Анотація:

A general approach is presented for solving the problem of the collision of two rigid bodies at a point. The approach overcomes the difficulties encountered by others on the treatment of contact velocity reversals and negative energy losses. A classical problem is solved; the initial velocities are presumed known and the final velocities unknown. The interaction process between the two bodies is modeled using two coefficients. These are the classical coefficient of restitution, e, and the ratio, μ, of tangential to normal impulses. The latter quantity can be a coefficient of friction as a special case. The paper reveals that these coefficients have a much broader intepretation than previously recognized in the solution of collision problems. The appropriate choice of values for μ is related to the energy loss of the collision. It is shown that μ is bounded by values which correspond to no sliding at separation and conservation of energy. Another bound on μ combined with limits on the coefficient e, provides an overall bound on the energy loss of a collision. Examples from existing mechanics literature are solved to illustrate the significance of the coefficients and their relationship to the energy loss of collisions.

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19

Hongbo, Li. "On unilaterally constrained motions of rigid bodies systems." Applied Mathematics and Mechanics 17, no. 10 (October 1996): 939–44. http://dx.doi.org/10.1007/bf00147131.

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20

Babich, S. Yu, A. N. Guz', and V. B. Rudnitskii. "Contact problems for elastic bodies with initial stresses (rigid punches)." Soviet Applied Mechanics 25, no. 8 (August 1989): 735–48. http://dx.doi.org/10.1007/bf00887636.

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21

Kravets, V. V., and E. P. Kryshko. "Spatial motion of rigid bodies connected by an elastic rod." Soviet Applied Mechanics 24, no. 6 (June 1988): 630–33. http://dx.doi.org/10.1007/bf01890825.

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22

Mentrasti, L. "Paradoxes in Rigid-Body Kinematics of Structures." Journal of Applied Mechanics 65, no. 1 (March 1, 1998): 218–22. http://dx.doi.org/10.1115/1.2789029.

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Анотація:

The paper discusses two paradoxes appearing in the kinematic analysis of interconnected rigid bodies: there are structures that formally satisfy the classical First and Second Theorem on kinematic chains, but do not have any motion. This can arise when some centers of instantaneous rotation (CIR) relevant to two bodies coincide with each other (first kind paradox) or when the CIRs relevant to three bodies lie on a straight line (second kind paradox). In these cases two sets of new theorems on the CIRs can be applied, pointing out sufficient conditions for the nonexistence of a rigid-body motion. The question is clarified by applying the presented theory to several examples.

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23

Fosdick, Roger, and Gianni Royer-Carfagni. "Stress as a Constraint Reaction in Rigid Bodies." Journal of Elasticity 74, no. 3 (March 2004): 265–76. http://dx.doi.org/10.1023/b:elas.0000039619.96530.04.

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24

Cohen, Avraham, and Moshe Shoham. "Hyper Dual Quaternions representation of rigid bodies kinematics." Mechanism and Machine Theory 150 (August 2020): 103861. http://dx.doi.org/10.1016/j.mechmachtheory.2020.103861.

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25

MoradiMaryamnegari, H., and A. M. Khoshnood. "Robust adaptive vibration control of an underactuated flexible spacecraft." Journal of Vibration and Control 25, no. 4 (September 30, 2018): 834–50. http://dx.doi.org/10.1177/1077546318802431.

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Анотація:

Designing a controller for multi-body systems including flexible and rigid bodies has always been one of the major engineering challenges. Equations of motion of these systems comprise extremely nonlinear and coupled terms. Vibrations of flexible bodies affect sensors of rigid bodies and might make the system unstable. Introducing a new control strategy for designing control systems which do not require the rigid–flexible coupling model and can dwindle vibrations without sensors or actuators on flexible bodies is the purpose of this paper. In this study, a spacecraft comprising a rigid body and a flexible panel is used as the case study, and its equations of motion are extracted using Lagrange equations in terms of quasi-coordinates. For oscillations on a rigid body to be eliminated, a frequency estimation algorithm and an adaptive filtering are used. A controller is designed based on the rigid model of the system, and then robust stability conditions for the rigid–flexible system are obtained. The conditions are also developed for the spacecraft with more than one active frequency. Finally, the robust adaptive vibration control system is simulated in the presence of resonance. Simulations’ results indicate the advantage of the control method even when several active frequencies simultaneously resonate the dynamics system.

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26

Montanaro, A. "Global Equivalence for Rigid Heat-Conducting Bodies." Mathematics and Mechanics of Solids 6, no. 4 (August 2001): 423–36. http://dx.doi.org/10.1177/108128650100600404.

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27

Hesch, Christian, and Peter Betsch. "Continuum Mechanical Considerations for Rigid Bodies and Fluid-Structure Interaction Problems." Archive of Mechanical Engineering 60, no. 1 (March 1, 2013): 95–108. http://dx.doi.org/10.2478/meceng-2013-0006.

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Анотація:

The present work deals with continuum mechanical considerations for deformable and rigid solids as well as for fluids. A common finite element framework is used to approximate all systems under considerations. In particular, we present a standard displacement based formulation for the deformable solids and make use of this framework for the transition of the solid to a rigid body in the limit of infinite stiffness. At last, we demonstrate how to immerse a discretized solid into a fluid for fluid-structure interaction problems.

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28

de Saxcé, Géry, and Claude Vallée. "Affine tensors in mechanics of freely falling particles and rigid bodies." Mathematics and Mechanics of Solids 17, no. 4 (October 4, 2011): 413–30. http://dx.doi.org/10.1177/1081286511421339.

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29

Kayumov, O. R. "Parametric controllability of certain systems of rigid bodies." Journal of Applied Mathematics and Mechanics 70, no. 4 (January 2006): 527–48. http://dx.doi.org/10.1016/j.jappmathmech.2006.09.017.

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30

Lapin, V. N. "Stability of the Couette flow of ideal rigid-plastic bodies." Moscow University Mechanics Bulletin 66, no. 1 (February 2011): 1–7. http://dx.doi.org/10.3103/s0027133011010018.

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31

Kovalev, Aleksandr Mikhailovich, I. A. Bolgrabskaya, D. A. Chebanov, and V. F. Shcherbak. "Damping of Forced Vibrations in Systems of Connected Rigid Bodies." International Applied Mechanics 39, no. 3 (March 2003): 343–49. http://dx.doi.org/10.1023/a:1024430806596.

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32

Shenton, Harry W., and Nicholas P. Jones. "Base Excitation of Rigid Bodies. II: Periodic Slide‐Rock Response." Journal of Engineering Mechanics 117, no. 10 (October 1991): 2307–28. http://dx.doi.org/10.1061/(asce)0733-9399(1991)117:10(2307).

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33

Kravets, V. V., and T. V. Kravets. "On the nonlinear dynamics of elastically interacting asymmetric rigid bodies." International Applied Mechanics 42, no. 1 (January 2006): 110–14. http://dx.doi.org/10.1007/s10778-006-0065-4.

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34

Zakrzhevskii, A. E. "Program motion of systems of rigid and elastic bodies (review)." International Applied Mechanics 29, no. 6 (June 1993): 413–30. http://dx.doi.org/10.1007/bf00846903.

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35

TAO, JIN-HE, and CHONG-MING XU. "A MODEL OF 1PN QUASI-RIGID BODY FOR ROTATION OF CELESTIAL BODIES." International Journal of Modern Physics D 12, no. 05 (May 2003): 811–24. http://dx.doi.org/10.1142/s0218271803003311.

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Анотація:

Applying the Damour–Soffel–Xu framework of general-relativistic celestial mechanics, the theory of relativistic rigid body presented by Thorne and Gürsel is extended and developed in this paper. We successfully construct a quasi-rigid body model in the full post-Newtonian framework for the first time. This model has some simple properties in a similar way to the Newtonian rigid body, and it could be applied in geodynamics and astronomy, for example, to solve problems on rotation or precession of celestial bodies when relativistic effects are not negligible.

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36

Shabana, A. A. "Finite Element Incremental Approach and Exact Rigid Body Inertia." Journal of Mechanical Design 118, no. 2 (June 1, 1996): 171–78. http://dx.doi.org/10.1115/1.2826866.

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Анотація:

In the dynamics of multibody systems that consist of interconnected rigid and deformable bodies, it is desirable to have a formulation that preserves the exactness of the rigid body inertia. As demonstrated in this paper, the incremental finite element approach, which is often used to solve large rotation problems, does not lead to the exact inertia of simple structures when they rotate as rigid bodies. Nonetheless, the exact inertia properties, such as the mass moments of inertia and the moments of mass, of the rigid bodies can be obtained using the finite element shape functions that describe large rigid body translations by introducing an intermediate element coordinate system. The results of application of the parallel axis theorem can be obtained using the finite element shape functions by simply changing the element nodal coordinates. As demonstrated in this investigation, the exact rigid body inertia properties in case of rigid body rotations can be obtained using the shape function if the nodal coordinates are defined using trigonometric functions. The analysis presented in this paper also demonstrates that a simple expression for the kinetic energy can be obtained for flexible bodies that undergo large displacements without the need for interpolation of large rotation coordinates.

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37

Pfister, Jens, and Peter Eberhard. "Frictional contact of flexible and rigid bodies." Granular Matter 4, no. 1 (February 2002): 25–36. http://dx.doi.org/10.1007/s10035-001-0099-6.

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38

Zhogoleva, Nadiya, and Iryna Dmytryshyn. "Forced synchronization of rigid bodies angular velocities." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 35 (October 25, 2021): 27–36. http://dx.doi.org/10.37069/10.37069/1683-4720-2021-35-3.

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Анотація:

The problem of synchronization on incomplete information on a state of system is considered. In control theory, one of the ways to solve the problem of incompleteness of the measured information is to obtain a vector estimate state by the values of outputs with the help of an observer -- a special dynamic system, the state of which approaches the initial trajectory. The main problem in constructing an observer is therefore, to provide a exponential dynamics of observation error reduction. Assume that a solution in the form of feedback $ u (x) $ is found for the problem of synchronization of trajectories and estimate $ \hat x $ is obtained with the help of an observer. The question arises whether thus obtained control law in the form of feedback $ u (\hat x) $ solve the original problem. For linear stationary systems, the answer to this question is positive (the separation principle): if for of a linear stationary system an exponential observer is constructed and a linear feedback is found, globally asymptotically stabilizing a given equilibrium position at a known state vector -- then with the appropriate feedback on the estimate state vector global asymptotic stability of the equilibrium position stored. For nonlinear systems in the general case the answer to this question is negative: there are examples of nonlinear systems to which the separation principle is unsuitable. The reason for this is possible phenomenon of unlimited growth of system solutions with control $ u(\hat x) $ for a finite time before the observer estimates error of the state will be reduced to zero. To construct the laws of synchronization, in contrast to the general approach, we use the method of invariant relations developed in analytical mechanics, which is designed to find partial solutions (dependences between variables) in problems of dynamics of a rigid body with a fixed point. Modification of this method to the problems of control theory allows to synthesize a manifold in the space of an extended system, which avoids possible unlimited growth of solutions and provides controlled dynamics for trajectory deviation.

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39

Sankar, N., V. Kumar, and Xiaoping Yun. "Velocity and Acceleration Analysis of Contact Between Three-Dimensional Rigid Bodies." Journal of Applied Mechanics 63, no. 4 (December 1, 1996): 974–84. http://dx.doi.org/10.1115/1.2787255.

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Анотація:

During manipulation and locomotion tasks encountered in robotics, it is often necessary to control the relative motion between two contacting rigid bodies. In this paper we obtain the equations relating the motion of the contact points on the pair of contacting bodies to the rigid-body motions of the two bodies. The equations are developed up to the second order. The velocity and acceleration constraints for contact, for rolling, and for pure rolling are derived. These equations depend on the local surface properties of each contacting body. Several examples are presented to illustrate the nature of the equations.

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40

Stronge, W. J. "Swerve During Three-Dimensional Impact of Rough Rigid Bodies." Journal of Applied Mechanics 61, no. 3 (September 1, 1994): 605–11. http://dx.doi.org/10.1115/1.2901502.

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Анотація:

For collisions between rough bodies, dry friction can be represented by Coulomb’s law; this relates the normal and tangential components of contact force by a coefficient of limiting friction if the contact is sliding. The friction force acts in a direction opposed to sliding. For a collision with planar changes in velocity, sliding is in either one direction or the other; the direction can reverse before separation only if the impact configuration is eccentric or noncollinear and the initial velocity of sliding is small. In general, however, friction results in nonplanar changes in velocity; for free bodies the velocity changes are three-dimensional or nonplanar unless the initial sliding velocity lies in the same plane as two principal axes of inertia for each body. Nonplanar velocity changes give a direction of sliding that continually changes or swerves during an initial phase of contact in an eccentric impact configuration. The present paper obtains changes in relative velocity during “rigid” body collisions as a function of impulse Pn of the normal component of reaction force. The method of resolving changes in relative velocity as a function of impulse is demonstrated by obtaining the solution for a spherical pendulum colliding with a rough half-space. The solution depends on two independent material parameters—the coefficient of friction and an energetic coefficient of restitution.

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41

Franchi, C. G. "A highly redundant coordinate formulation for constrained rigid bodies." Meccanica 30, no. 1 (February 1995): 17–35. http://dx.doi.org/10.1007/bf00987123.

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42

Cohen, H., and G. P. Macsithigh. "Plane motions of elastic pseudo-rigid bodies: an example." Journal of Elasticity 32, no. 1 (July 1993): 51–59. http://dx.doi.org/10.1007/bf00042248.

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43

Khromov, A. I., E. P. Kocherov, and A. L. Grigor’eva. "Strain states and fracture conditions for rigid-plastic bodies." Doklady Physics 52, no. 4 (April 2007): 228–32. http://dx.doi.org/10.1134/s1028335807040143.

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Bukhan’ko, A. A., A. L. Grigor’eva, E. P. Kocherov, and A. I. Khromov. "Strain-energy failure criterion for rigid-plastic bodies." Mechanics of Solids 44, no. 6 (December 2009): 959–66. http://dx.doi.org/10.3103/s0025654409060132.

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Shamolin, Maxim V. "Cases of Integrability Which Correspond to the Motion of a Pendulum in the Three-dimensional Space." WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS 16 (August 10, 2021): 73–84. http://dx.doi.org/10.37394/232011.2021.16.8.

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Анотація:

We systematize some results on the study of the equations of spatial motion of dynamically symmetric fixed rigid bodies–pendulums located in a nonconservative force fields. The form of these equations is taken from the dynamics of real fixed rigid bodies placed in a homogeneous flow of a medium. In parallel, we study the problem of a spatial motion of a free rigid body also located in a similar force fields. Herewith, this free rigid body is influenced by a nonconservative tracing force; under action of this force, either the magnitude of the velocity of some characteristic point of the body remains constant, which means that the system possesses a nonintegrable servo constraint, or the center of mass of the body moves rectilinearly and uniformly; this means that there exists a nonconservative couple of forces in the system

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46

Papusha, A. N. "Free motion of a system of rigid bodies with dual-spin rotation." Soviet Applied Mechanics 21, no. 8 (August 1985): 816–22. http://dx.doi.org/10.1007/bf00887635.

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Kubenko, V. D., and V. V. Gavrilenko. "Axisymmetric problem of the penetration of rigid bodies into a compressible liquid." Soviet Applied Mechanics 23, no. 2 (February 1987): 152–58. http://dx.doi.org/10.1007/bf00889010.

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Sharekh, M. S. Abu, S. K. Pathak, G. L. Asawa, and P. D. Porey. "Turbulent Boundary Layer over Symmetric Bodies with Rigid and Flexible Surfaces." Journal of Engineering Mechanics 126, no. 4 (April 2000): 422–31. http://dx.doi.org/10.1061/(asce)0733-9399(2000)126:4(422).

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Vasilenko, A. T., and I. G. Emel'yanov. "Contact interaction of anisotropic cylindrical shells with elastic and rigid bodies." International Applied Mechanics 29, no. 3 (March 1993): 200–203. http://dx.doi.org/10.1007/bf00846997.

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Nesteruk, Igor G. "Rigid Bodies without Boundary-Layer Separation." International Journal of Fluid Mechanics Research 41, no. 3 (2014): 260–81. http://dx.doi.org/10.1615/interjfluidmechres.v41.i3.50.

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