The author dealt theoretically with some natures of the subharmonic resonance in the vibratory system with a small nonlinear characteristic. At first he treated the Duffing's Equation with viscous damping and then the case of the restoring force expressed as, a curve of n degrees of the displacement.

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Abstract The solutions of such problems have been explained by Dr. Timoshenko, but the author has simplified the solution by the slope deflection method. The merit of this method is displayed in the cases when two adjacent edges are clamped and the other two simply supported, and also when three edges are clamped and one simply supported.

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