A Structural-Dynamic-Modeling Method for Long Cantilever Beam

In order to effectively suppress the fatigue failure of the long cantilever beam structure at the distal connection when it is subjected to periodic vibrations continuously from the fixed end, and to protect the cantilever beam structure, it is necessary to apply an active vibration suppression control algorithm for auxiliary support mechanism held at the far connection. To this end, the cantilever beam structure dynamic modeling is proposed, which provides a model basis for the control algorithm analysis, parameter design and research. Based on the analysis of the Euler-Bernoulli beam vibration model and the flexible foundation simplified model, the differential vibration equation of the cantilever beam with the flexible foundation at the auxiliary support point is derived from the periodic vibration signal input at the fixed end, and the structural deduction is consistent with the actual structural dynamics model. Through calculation and simulation, the dynamic response of the flexible foundation cantilever beam is obtained and the accuracy of the model is confirmed. Therefore, it provides an effective modeling solution for the long cantilever beam structure and has certain reference significance for the vibration suppression of the manipulator with flexible foundation.