Analytical Stiffness Matrix Method for Flexural Vibration of Compression Bar

Ting Deng, Weitong Guo, Min Ding, Jiajia Wang, Lin Mi, Xiaoke Cheng


According to differential equation for transverse flexural vibration of compression bar considering second-order effect and inertia force, displacement vector expression was achieved. Based on the displacement boundary condition, displacement coefficient expressed by nodal displacement vector was obtained. Internal force equations of compression bar were established and then internal force at bar ends expressed by nodal displacement vector was provided. Finally, dynamic stiffness matrix colligating mass matrix and geometry matrix was given and can be applied to accurate analysis for dynamic performance and dynamic responses of bar.


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