On the Projection of a Flexible Bodies Modal Coordinates Onto Another Finite Element Model With Local Modifications

Witteveen, Wolfgang; Pöchacker, Stefan; Pichler, Florian

doi:10.1115/1.4043524

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…Works dealing with the effective integration of equations of motion show results obtained to facilitate this step in [13]. Precise modeling of such systems is an important contribution to the development of engineering, but the potential is low due to the numerical calculation involved.…”

Section: Introductionmentioning

confidence: 99%

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Finite Element Method-Based Elastic Analysis of Multibody Systems: A Review

2022

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This paper presents the main analytical methods, in the context of current developments in the study of complex multibody systems, to obtain evolution equations for a multibody system with deformable elements. The method used for analysis is the finite element method. To write the equations of motion, the most used methods are presented, namely the Lagrange equations method, the Gibbs–Appell equations, Maggi’s formalism and Hamilton’s equations. While the method of Lagrange’s equations is well documented, other methods have only begun to show their potential in recent times, when complex technical applications have revealed some of their advantages. This paper aims to present, in parallel, all these methods, which are more often used together with some of their engineering applications. The main advantages and disadvantages are comparatively presented. For a mechanical system that has certain peculiarities, it is possible that the alternative methods offered by analytical mechanics such as Lagrange’s equations have some advantages. These advantages can lead to computer time savings for concrete engineering applications. All these methods are alternative ways to obtain the equations of motion and response time of the studied systems. The difference between them consists only in the way of describing the systems and the application of the fundamental theorems of mechanics. However, this difference can be used to save time in modeling and analyzing systems, which is important in designing current engineering complex systems. The specifics of the analyzed mechanical system can guide us to use one of the methods presented in order to benefit from the advantages offered.

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Section: Introductionmentioning

confidence: 99%

“…For example, simulating the behavior of a crankshaft that interacts with the surrounding elements requires a processing time for the CPU of several hours and determines the total time required for such a calculation. Methods for improving this step are presented in [13].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Method-Based Elastic Analysis of Multibody Systems: A Review

2022

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Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements

Vlase,

Marin,

Öchsner

et al. 2023

Continuum Mech. Thermodyn.

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Analytical mechanics methods in finite element analysis of multibody elastic system

Scutaru,

Vlase,

Marin

2023

Bound Value Probl

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The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics. Modeling this system with the finite element method requires obtaining the motion equation for an element in the circumstances imposed by a multibody system. The paper aims to present the main analysis methods used by researchers, to make a comparative analysis, and to show the advantages or disadvantages offered by different methods. For the presentation of the main methods (namely Lagrange’s equations, Gibbs–Appell’s equations, Maggi’s formalism, Kane’s equations, and Hamilton’s equations) a unified notation is used. The paper provides a critical evaluation of the studied applications that involved some of these methods, highlighting the reason why it was decided to use them. Also, the paper identifies potential research areas to explore.

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On the Projection of a Flexible Bodies Modal Coordinates Onto Another Finite Element Model With Local Modifications

Cited by 4 publications

References 5 publications

Finite Element Method-Based Elastic Analysis of Multibody Systems: A Review

Finite Element Method-Based Elastic Analysis of Multibody Systems: A Review

Equivalent analytical formulation-based multibody elastic system analysis using one-dimensional finite elements

Analytical mechanics methods in finite element analysis of multibody elastic system

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