A METHOD FOR THE STUDY OF THE VIBRATION OF MECHANICAL BARS SYSTEMS WITH SYMMETRIES
The paper presents a method to simplify the calculus of the eigenmodes of a mechanical system with bars in order to obtain more information concerning the deformations and the loads in the elements of the system using a semi-analytical model. Finite element method, currently used in engineering applications offers a set of standard results and sometime is necessary to process the dataset to obtain useful results. The method is applied to a symmetrical structure, this kind of system being discussed in previous papers. In this paper we aim to study a symmetrical system of beams that presents vibrations perpendicular on the plane of the system. The determination of properties of such systems would decrease the computational time and effort and offers more information about system.
Key words: vibrations, symmetrical beams, finite element method, eigenmodes
Meirovitch, L., Principles and Techniques of Vibrations, Pearson (1996).
Mangeron, D., Goia, I., Vlase, S., Symmetrical Branched Systems Vibrations, Scientific Memoirs of the Romanian Academy, Bucharest, Serie IV, Tom XII, Nr.1, 1991,p.232-236.
Vlase, S., Chiru, A., Simmetry in the study of the vibration of some engineering mechanical systems, Proceedings of the 3rd International Conference on Experiments/ Process/ System Modeling/ Simulation/ Optimization (3rd IC-EpsMsO), Athens, Greece, 8-11 July, 2009.
Shi, C.Z., Parker, R.G., Modal structure of centrifugal pendulum vibration absorber systems with multiple cyclically symmetric groups of absorbers, Journal of Sound and Vibration. ISSN 0022-460X, DI 10.1016/j.jsv.2013.03.009
Paliwal, D.N., Pandey,R.K., Free vibrations of circular cylindrical shell on Winkler and Pasternak foundations, International Journal of Pressure Vessels and Piping, Volume 69, Issue 1, November 1996, Pages 79-89
Celep,Z., On the axially symmetric vibration of thick circular plates, Ingenieur-Archiv. November 1978, Volume 47, Issue 6, pp 411-420
Buzdugan, Gh., Fetcu, L., Rades, M., Mechanical vibrations, Ed. Did. si Ped., Bucharest, 1982
Douglas, Th., Structural Dynamics and Vibrations in Practice: An Engineering Handbook, CRC Press, 2012
Timoshenko, P.S., M. Gere, J.M., Theory of Elastic Stability, McGraw-Hill,New York, London, 2nd Edition, 2009
Tyn Myint-U, Ordinary Differential Equations, Elsevier, 1977
Henderson, J., Luca,R., Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions, Elsevier, 2016
Sharma, K., Marin, M., Effect of distinct conductive and thermodynamic temperatures on the reflection of plane waves in micropolar elastic half-space, U.P.B. Sci. Bull., Series A-Appl. Math. Phys., 75(2), 121-132, 2013
Marin,M., On weak solutions in elasticity of dipolar bodies with voids, J. Comp. Appl. Math., vol. 82 (1-2), 291-297, 1997
Marin,M., Harmonic vibrations in thermoelasticity of microstretch materials, J. Vibr. Acoust., ASME, vol. 132(4), 044501-044501-6, 2010
Vlase, S., Paun, M., Vibration Analysis of a Mechanical System consisting of Two Identical Parts, Ro. J. Techn. Sci. - Appl. Mechanics, Vol. 60, No 3, pp. 216-230, Bucharest, 2015.
Vlase,S., Finite Element Analysis of the Planar Mechanisms: Numerical Aspects. In Applied Mechanics – 4, Elsevier, pp.90-100, 1992.
Vlase S, Danasel C, Scutaru ML, Mihalcica M., Finite Element Analysis of a Two-Dimensional Linear Elastic Systems with a Plane “Rigid Motion”, Rom. Journ. Phys., Vol. 59, Nos. 5–6, pp. 476–487, Bucharest, 2014
Vlase,S., Teodorescu,P.P., Itu,C., Scutaru,M.L., Elasto-Dynamics of a Solid with a General "Rigid" Motion Using FEM Model. Part II. Analysis of a Double Cardan Joint, Romanian Journal of Physics, 58 (7-8), 2013
Vlase, S., A Method of Eliminating Lagrangian-Multipliers from the Equation of Motion of Interconnected Mechanical Systems, Journal of Applied Mechanics-Transaction of the ASME, vol. 54, Issue:1, pp.235-237,1987
Vlase,S., Munteanu,M.V., Scutaru, M.L., On the Topological Description of the Multibody Systems, Annals of DAAAM, Book Series, pp.1493-1494, 2008
- There are currently no refbacks.