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《Journal of Vibration and Shock》 2017-18
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Bending vibration responses of a multi-span shaft by using the polynomial fitting mode function method

PENG Bo;ZHU Rupeng;LI Miaomiao;LI Zhiyue;College of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics;  
In order to solve the bending vibration response of a multi-span shaft under elastic support boundary conditions,a dynamic model of the Rayleigh continuous shaft was established based on the second Lagrange equation,and the partial differential equations were transformed into the ordinary differential ones by using Galerkin 's method. A polynomial fitting method for the mode shape functions of the multi-span shaft was proposed,the mode shape values at finite sections of the shaft were calculated by means of the transfer matrix method,and the mode shape functions and their higher order derivatives were fitted by using polynomials. A helicopter tail driving shaft was taken as an example,the fitted mode shape functions of three orders and their higher-order derivatives were substituted into the dynamic equations,and the bending vibration responses of the tail driving shaft under eccentric excitation were calculated by the mode superposition method. The study results reveal that the method has good convergence and reliability.
【Fund】: 国家自然科学基金资助项目(51375226;51505215);; 南京航空航天大学研究生创新基地(实验室)开放基金资助项目(kfjj20150506)
【CateGory Index】: V214;V275.1
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