FINITE ELEMENT USED IN THE DYNAMIC ANALYSIS OF A MECHANICAL PLANE MBS WITH A PLANAR “RIGID MOTION”

Maria Luminita SCUTARU, Eliza CHIRCAN, Sorin VLASE, Marin MARIN

Abstract


Abstract: The paper aims to study a finite element in the case of plane motion of a plane mechanical system. The problem of using two-dimensional finite elements in the dynamic analysis of membranes has been little studied in the literature, which is mainly due to the formalism involved, which requires a special calculation effort. The evolution equations are established and the matrix coefficients are calculated. An example of calculating the eigenvalues for a rectangular shell is presented, which uses the formalism developed in the paper.

Key words: Multibody System (MBS), Finite Element Method (FEM), eigenfrequencies, eigenvectors, shell, two-dimensional


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References


Itu, C., Ochsner, A., Vlase, S., Marin,M., Improved rigidity of composite circular plates through radial ribs. Proceedings of the Institution of Mechanical Engineering-Design and Applications. Vol.233, Issue 8 (2019) pp.1585-1593.

Katouzian,M., Vlase, S., Calin, M.R., Experimental procedures to determine the viscoelastic parameters of laminated composites. Journal of Optoelectronic and Advanced Materials. Vol.13, Issue 9-10 (2011) pp.1185-1188.

Jurco, SG, Jurco, E., Tomoaia, Gh., Arghir, M., Study of Human Body Mobility through Mechanical Modeling. Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol 60, No 1 , 137-142, 2017.

Jurco,SG, Jurco, EC, Tomoaia, Gh, Arghir, M., Onaciu, Gr., Mechanical Modeling 4-EPPC Corresponding to Legs, Pelvis and Body, Supported on a Rigid Support with One Leg on Excitation. Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol 61, No 1, pp.17-22, 2018.

Massonet, Ch. Et al, Calcul des structures sur ordinateur. Eyroll EDITEUR, 1972

Marin, M., Chirila, A., Ochsner, A., Vlase, S , About finite energy solutions in thermoelasticity of micropolar bodies with voids. Boundary Value Problems, Article Number: 89, DOI: 10.1186/s13661-019-1203-3, 2019.

Marin,M., Agarwal, R.P., Mahmoud,S.R., Nonsimple material problems addressed by the Lagrange's identity, Boundary Value Problems, vol. 2013, 1-14, 2013, Art. No. 135.

Negrean I., New Formulations in Analytical Dynamics of Systems, published in Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol. 60, Issue I, ISSN 1221-5872, pp. 49-56, 2017.

Negrean I., Advanced Notions in Analytical Dynamics of Systems, published in Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol. 60, Issue IV, ISSN 1221-5872, pp. 491-502, 2017.

Negrean I., New Approaches on Notions from Advanced Mechanics, published in Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol. 61, Issue II, ISSN 1221-5872, pp. 149-158,2018.

Negrean I., Formulations on Input Parameters in Advanced Dynamics, published in Acta Technica Napocensis, Series: Applied Mathematics, Mechanics and Engineering, Vol. 61, Issue III, ISSN 1221-5872, pp. 305-312, 2018.

Negrean, I., Crișan, A.-D. Synthesis on the Acceleration Energies in the Advanced Mechanics of the Multibody Systems. Symmetry, 2019, 11(9), 1077.

Negrean, I., Crișan, A.-D., Vlase, S. A New Approach in Analytical Dynamics of Mechanical Systems. Symmetry, 2020, 12(1), 95.

Vlase, S., Dynamical Response of a Multibody System with Flexible Elements with a General Three-Dimensional Motion. Romanian Journal of Physics, Vol. 57, Issue 3-4, pp. 676-693, 2012.

Vlase, S., Marin, M., Öchsner, A., Scutaru, M.L. Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system. Continuum Mech. Thermodyn., 2019, doi.org/10.1007/ s00161-018-0722-y.

Vlase, S., Danasel, C., Scutaru, M. L., Mihalcica, M., Finite Element Analysis of a Two-Dimensional Linear Elastic Systems with a Plane "Rigid Motion". Romanian Journal of Physics, Vol.59, Issue 5-6, pp.476-487, 2014.


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