Modal analysis of cantilever beams with different boundary conditions

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (19) : 221-226.

LIU Jianying WANG Xiaoyue GONG Jinliang

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Abstract

In order to improve the accuracy of the established dynamic model of the assumed mode method, the flexible manipulator is simplified as the cantilever beam model is more precise problem. By analyzing the influence of different boundary conditions on the lateral vibration of Euler-Bernoulli cantilever beam, the shear boundary condition of cantilever free end into a specific mass and tensile spring, bending moment boundary conditions specific for torsion springs and rotational inertia components, obtained various boundary conditions under the cantilever beam modal frequency and vibration modal. The results show that adding boundary conditions of the cantilever beam model can better describe the vibration of the flexible manipulator, it can improve the accuracy of the dynamic model of the assumed modal method. According to the mode coupling between the flexible manipulator is strong, variation of boundary conditions to add modal frequencies, and puts forward the method of equivalent density correction. Finally, boundary conditions and modify the equivalent density of iterative calculation method, and using ANSYS and Adams co simulation analysis by the driving joints and free joints connecting two link flexible manipulator model corresponding to the vibration mode to verify the correctness of the calculation method.

Key words

flexible manipulator / cantilever beam model / boundary condition / modal vibration

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LIU Jianying WANG Xiaoyue GONG Jinliang. Modal analysis of cantilever beams with different boundary conditions[J]. Journal of Vibration and Shock, 2017, 36(19): 221-226

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