231 3 自由度防振支持系の振動実験(内部共振がある場合)

概要

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Nonlinear normal modes are defined as synchronous periodic motions of nonlinear systems. In this work, nonlinear normal modes in a three-degree-of-freedom vibration isolating systems, i.e., the vertical, horizontal and rotating vibrations, with a '2-1-1' internal resonance are examined. First, the equations of the 3 d.o.f. vibration system considering geometric nonlinearities are derived by the use of Lagrange's equations with the aid of computer algebra. Second, nonlinear normal modes are investigated in the conservative nonlinear system. Third, a forced oscillation of the nonconservative nonlinear system is analyzed with the method of multiple scales, and the response curves are obtained analytically. Furthermore a 3 d.o.f. experimental equipment was set up, and the presence of bifurcation in the internal resonance was experimentally verified with the primary resonant excitation.
社団法人日本機械学会の論文
2000-09-01