Nonlinear Forced Vibration Analysis of a Three Dimensional Tree Structure by the Incremental Transfer Stiffness Coefficient Method

The incremental transfer stiffness coefficient method was developed, in the previous report, in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. By the incremental transfer stiffness coefficient method, the computation cost can be reduced remarkably from the iterative computation process of approximate solution. In this report, an algorithm based on the present method is formulated to analyze the longitudinal, flexural and torsional coupled vibration of the three dimensional tree structure supported by the nonlinear base support elements. In addition, the method of stability analysis using reduction model is applied to the periodic solution obtained for the three dimensional tree structure. The validity of the incremental transfer stiffness coefficient method and the method of stability analysis using reduction model for three dimensional tree structures is confirmed by the numerical computational results.