Finite element formulation of rigid body motion in dynamic analysis of mechanisms

Hać, M.; Osiński, J.

doi:10.1016/0045-7949(94)00601-x

Cited by 7 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the present paper, a form of equations of motion used in the superposition theory of elastic linkages is discussed. The model of a shape function for the planar rigid-body motion proposed in [19,20] is used. In this way, in contrast to many other studies [2][3][4][5][6], the shape function for elastic motion is not used to describe an arbitrary large rigid-body translation.…”

Section: Introductionmentioning

confidence: 99%

On Equations of Motion of Elastic Linkages by FEM

Hać

2013

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Discussion on equations of motion of planar flexible mechanisms is presented in this paper. The finite element method (FEM) is used for obtaining vibrational analysis of links. In derivation of dynamic equations it is commonly assumed that the shape function of elastic motion can represent rigid-body motion. In this paper, in contrast to this assumption, a model of the shape function specifically dedicated to the rigid-body motion is presented, and its influence on elastic motion is included in equations of motion; the inertia matrix related to the rigid-body acceleration vector depends on both shape functions of the elastic and rigid elements. The numerical calculations are conducted in order to determine the influence of the assumed shape function for rigid-body motion on the vibration of links in the case of closed-loop and open-loop mechanisms. The results of numerical simulation show that for transient analysis and for some specific conditions (e.g., starting range, open-loop mechanisms) the influence of assumed shape functions on vibration response can be quite significant.

show abstract

Section: Introductionmentioning

confidence: 99%

On Equations of Motion of Elastic Linkages by FEM

Hać

2013

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

Development of core support barrel installation tool for a bypass flow reduction in nuclear reactor core

Christopher Ondwasi,

Ihn

2024

Nuclear Engineering and Design

View full text Add to dashboard Cite

Computational strategies for flexible multibody systems

Wasfy

Noor

2003

Applied Mechanics Reviews

324

164

View full text Add to dashboard Cite

The status and some recent developments in computational modeling of flexible multibody systems are summarized. Discussion focuses on a number of aspects of flexible multibody dynamics including: modeling of the flexible components, constraint modeling, solution techniques, control strategies, coupled problems, design, and experimental studies. The characteristics of the three types of reference frames used in modeling flexible multibody systems, namely, floating frame, corotational frame, and inertial frame, are compared. Future directions of research are identified. These include new applications such as micro- and nano-mechanical systems; techniques and strategies for increasing the fidelity and computational efficiency of the models; and tools that can improve the design process of flexible multibody systems. This review article cites 877 references.

show abstract

Finite element formulation of rigid body motion in dynamic analysis of mechanisms

Cited by 7 publications

References 6 publications

On Equations of Motion of Elastic Linkages by FEM

On Equations of Motion of Elastic Linkages by FEM

Development of core support barrel installation tool for a bypass flow reduction in nuclear reactor core

Computational strategies for flexible multibody systems

Contact Info

Product

Resources

About