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ABSTRACT

 

Triangular relationship between vibration modes of an elastically supported rigid body with a plane of symmetry

 

Jang, Seon Jun

Year 2012

 

 The geometrical properties of vibration modes of a single rigid body with one plane of symmetry are presented. When in-plane vibration modes are represented by the axes normal to the plane of symmetry, three intersecting points of those axes and the plane of symmetry constitute two triangles whose orthocentres are coincident with the mass centre and planar couple point, while the induced wrenches of three out-of-plane modes are found to form two triangles whose orthocentres are lying on the mass centre and the perpendicular translation point. Examining these triangles reveals that the triangular areas are proportional to the distributions of the mass and stiffness in the vibrating system and the shapes of the triangles are related to the natural frequencies. A numerical example is provided to verify the proposed findings.


Mechatronics & Robotics Lab at Yonsei Univ., Korea

 

제목
J W Kim, S Lee, Y J Choi, "Design method of planar vibration system for specified ratio of energy peaks," Journal of Sound and Vibration (2015), http://dx.doi.org/10.1016/j.jsv.2015.01.016i
J. W. Kim, M. B. Hong, Y. J. Choi, "New jacobian approach to the kinestatic analysis of a planar double-wishbone suspension mechanism", Proc. IMechE, Part D: Journal of Automobile Engineering, 2013.
S. J. Jang, J. W. Kim, Y. J. Choi, "Triangular relationship between vibration modes of an elastically supported rigid body with a plane of symmetry", Proc. IMechE, Part C: Journal of Mechanical Engineering Science Vol. 226 No. 5 , pp.1254-1262, 2012.
M. B. Hong, Y. J. Choi, "Design method of planar three-degrees-of-freedom serial compliance device with desired compliance characteristics", the Institution of Mechanical Engineers, Mechanical engineering science Vol. 226 No.9, pp.2331-2344, 2012.
M. B. Hong, Y. J. Choi, "Formulation of Unique Form of Screw Based Jacobian for Lower Mobility Parallel Manipulators", Journal of mechanisms and robotics Vol .3, pp.1-6, 2011.
M. B. Hong, Y. J. Choi, "Design method of planar three-degrees-of-freedom serial compliance device with desired compliance characteristics", The Institution of Mechanical Engineers, Mechanical engineering science Vol. 226 No.9, pp.2331-2344, 2012.
M. B. Hong, Y. J. Choi, "Formulation of Unique Form of Screw Based Jacobian for Lower Mobility Parallel Manipulators", Journal of mechanisms and robotics Vol .3, pp.1-6, 2011.
M. B. Hong, Y. J. Choi, "The conditions for mode decoupling of a linear vibration system with diagonalizable stiffness matrices via screw theory“, Proceedings of the Institution of Mechanical Engineers. Part C, Mechanical engineering science Vol. 225
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