Modal Analysis of a Mechanical System Modeled as a 6 Degrees-of-Freedom Solid Body with Elastic Bearings and Structural Symmetries
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Abstract
The paper presents the physical model and the mathematical model of a mechanical system modeled as a solid body with 6 degrees of dynamic freedom and elastic bearings. Considering that the system has constructive symmetries (masses and inertia, elastic support elements), simpler physical and mathematical models are obtained, the systems of differential equations of motion being decoupled in subsystems with fewer equations. The systems of decoupled equations of motion describe the dynamic behavior of subsystems with coupled motions in certain directions (translational and/or rotational motions). The paper also presents a case study: a modal analysis of an 6DOF elastic mechanical system with a vertical plane of symmetry.
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