By A. Kahraman
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Additional info for Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair
8). The reason for this is that the resulting linearized eigenvalue problem is exactly the same form as the SLEP system which will be derived from the original system in a rigorous manner in Section 3.. This is important since formal analysis gives us a correct answer for the original system. As was mentioned in Section 1, the dynamics has two steps; first, the outer dynamics, and then slow layer dynamics. So is the linearized 48 Y. Nishiura problem. , all the spectrum have strictly negative parts, on the other hand, the one for the layer dynamics, which corresponds to the SLEP system, is subtle and needs more computation.
12c) (s) < cp2(S) < ... < CPn(s) < 1, where Re] M. Reeken, Stability of critical points under small perturbations, Part. I : Topological theory, Manuscripta Math. 7(1972), 387-411. [Sp] E. Spanier, "Algebraic topology", McGraw Hill, New York, 1966. [Sz] A. Szulkin, A relative category and applications to critical point theory for strongly indefinite functionals, preprint, Nonlinear Anal. A. 15(1990) 725739. [Szd A. Szulkin, Cohomology and Morse theory for strongly indefinite functionals, preprint, 1990. [Ta] G. TARANTELLO, Remarks on forced equations of the double pendulum type, Trans Amer.
Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair by A. Kahraman
Re] M. Reeken, Stability of critical points under small perturbations, Part. I : Topological theory, Manuscripta Math. 7(1972), 387-411. [Sp] E. Spanier, "Algebraic topology", McGraw Hill, New York, 1966. [Sz] A. Szulkin, A relative category and applications to critical point theory for strongly indefinite functionals, preprint, Nonlinear Anal. A. 15(1990) 725739. [Szd A. Szulkin, Cohomology and Morse theory for strongly indefinite functionals, preprint, 1990. [Ta] G. TARANTELLO, Remarks on forced equations of the double pendulum type, Trans Amer.