Log in

Relevant bibliographies by topics / Mechanics of rigid bodies / Journal articles

Journal articles on the topic 'Mechanics of rigid bodies'

To see the other types of publications on this topic, follow the link: Mechanics of rigid bodies.

Author: Grafiati

Published: 6 September 2023

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

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Mechanics of rigid bodies.'

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.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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).

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

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).

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

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!