A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition

作者：Sedighi Hamid M^*; Shirazi Kourosh H

来源：Journal of Computational and Nonlinear Dynamics, 2012, 7(3): 034502.

DOI：10.1115/1.4005924

• exact equivalent function
• cantilever beam
• deadzone nonlinearity
• Bubnov-Galerkin
• He's parameter expanding method

This paper presents the application of novel and reliable exact equivalent EF) for deadzone nonlinearity in an analytical investigation of nonlinear differential equations. A highly nonlinear equation of cantilever beam vibration with a deadzone nonlinear boundary condition is used to indicate the effectiveness of this EF. To obtain the analytical solution of dynamic behavior of the mentioned system, a powerful method, called He's parameter expanding method (HPEM) is used. Comparison of the obtained solutions using a numerical method reveals the accuracy of this analytical EF. [DOI: 10.1115/1.4005924]

• 出版日期2012-7