Abstract
AbstractAn important stage in an analysis of a multibody system (MBS) with elastic elements by the finite element method is the assembly of the equations of motion for the whole system. This assembly, which seems like an empirical process as it is applied and described, is in fact the result of applying variational formulations to the whole considered system, putting together all the finite elements used in modeling and introducing constraints between the elements, which are, in general, nonholonomic. In the paper, we apply the method of Maggi’s equations to realize the assembly of the equations of motion for a planar mechanical systems using finite two-dimensional elements. This presents some advantages in the case of mechanical systems with nonholonomic liaisons.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Reference23 articles.
1. Erdman, A.G., Sandor, G.N., Oakberg, A.: A general method for kineto-elastodynamic analysis and synthesis of mechanisms. J. Eng. Ind. ASME Trans. 94(4), 1193 (1972)
2. 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. Contin. Mech. Thermodyn. (2019). https://doi.org/10.1007/s00161-018-0722-y
3. Vlase, S.: Dynamical response of a multibody system with flexible elements with a general three-dimensional motion. Rom. J. Phys. 57(3–4), 676–693 (2012)
4. Vlase, S., Dănăşel, C., Scutaru, M.L., Mihălcică, M.: Finite element analysis of a two-dimensional linear elastic systems with a plane “rigid motion”. Rom. J. Phys. 59(5–6) 476–487 (2014)
5. Piras, G., Cleghorn, W.L., Mills, J.K.: Dynamic finite-element analysis of a planar high-speed, high-precision parallel manipulator with flexible links. Mech. Mach. Theory 40(7), 849–862 (2005)
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