Establishment of Vibration Differential Equation and Analysis of Dynamics Characteristics for Curved Beam
In this paper, a differential segment of curved beam in the vibration state is analyzed, and the internal force equilibrium equations are established, then the vibration differential equations of curved beam are derived by considering Timoshenko’s geometric equations and physical equations. The vibration differential equations derived are similar to the Vlasov’s static differential equation of curved beam. By analyzing the vibration differential equations, some characteristics of vibration are obtained, and ideas of solving the vibration differential equations are also proposed. The vibration differential equations of curved beam can be reduced to those of corresponding straight beams, validating the derived vibration differential equation of curved beam.
Guangfan Li, Yong Huang and Chaohe Chen
Y. M. Song and D. J. Wu, "Establishment of Vibration Differential Equation and Analysis of Dynamics Characteristics for Curved Beam", Advanced Materials Research, Vols. 250-253, pp. 1329-1333, 2011