Symmetric and asymmetric roto-deformations of a symmetrical, isotropic, elastic pseudo-rigid body

Cohen, H.; Sithigh, G. P. Mac

doi:10.1016/0020-7462(92)90058-f

Cited by 4 publications

(4 citation statements)

References 6 publications

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“…The cylinder has mass density 0 = 1500 kg=m 3 and elastic constants = 1·5 × 10 8 kg=(m s 2 ) and = 3·1 × 10 6 kg=(m s 2 ), corresponding to a hard rubber. The penalty parameter for contact is set to = 10 13 . The time history of normal displacements and velocities for the contact point and the mass centre is presented in Figure 2.…”

Section: Impact Of a Cylinder On A Rigid Wallmentioning

confidence: 99%

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A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies

Solberg

Papadopoulos

1999

Int. J. Numer. Meth. Engng.

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SUMMARYThis article advocates a general procedure for the numerical investigation of pseudo-rigid bodies. The equations of motion for pseudo-rigid bodies are shown to be mathematically equivalent to those corresponding to certain constant-strain ÿnite element approximations for general deformable continua. A straightforward algorithmic implementation is achieved in a classical ÿnite element framework. Also, a penalty formulation is suggested for modelling contact between pseudo-rigid bodies. Representative planar simulations using a nonlinear elastic model demonstrate the predictive capacity of the pseudo-rigid theory, as well as the robustness of the proposed computational procedure.

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Section: Impact Of a Cylinder On A Rigid Wallmentioning

confidence: 99%

“…References [10][11][12][13]. The purpose of this article is to reformulate the equations of motion for pseudo-rigid bodies so that they may be interpreted as resulting from certain constant-strain ÿnite element approximations to fully deformable continua.…”

Section: Introductionmentioning

confidence: 99%

A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies

Solberg

Papadopoulos

1999

Int. J. Numer. Meth. Engng.

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“…cf. (18), (19). For the qualitative analysis of practically important dynamical models the ω,Ȧ -system is most convenient.…”

Section: Classical Preliminariesmentioning

confidence: 99%

“…The mechanics of affine bodies was a subject of many papers [6,10,13,14,15,16,17,18,19,20,21,22,23,24,25,27,30,36,37,38,39,44,45,42,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,…”

Section: Introductionmentioning

confidence: 99%

Quantization of Affine Bodies: Theory and Applications in Mechanics of Structured Media

Sławianowski

2007

Material Substructures in Complex Bodies

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Discussed is kinematics and dynamics of bodies with affine degrees of freedom, i.e., homogeneously deformable "gyroscopes". The special stress is laid on the status and physical justification of affine dynamical invariance. On the basis of classical Hamiltonian formalism the Schroedinger quantization procedure is performed. Some methods of the partial separation of variables, analytical treatment and search of rigorous solutions are developed. The possiblity of applications in theory of structured media, nanophysics, and molecular physics is discussed.

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Deformable Asymmetric Tops under Similarity Transformations

Miguel

2003

Journal of Nonlinear Science

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Symmetric and asymmetric roto-deformations of a symmetrical, isotropic, elastic pseudo-rigid body

Cited by 4 publications

References 6 publications

A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies

A simple finite element-based framework for the analysis of elastic pseudo-rigid bodies

Quantization of Affine Bodies: Theory and Applications in Mechanics of Structured Media

Deformable Asymmetric Tops under Similarity Transformations

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