This paper presents the application of novel and reliable exact equivalent function (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.
A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition
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Sedighi, H. M., and Shirazi, K. H. (March 19, 2012). "A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition." ASME. J. Comput. Nonlinear Dynam. July 2012; 7(3): 034502. https://doi.org/10.1115/1.4005924
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