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《Chinese Journal of Theoretical and Applied Mechanics》 2011-04
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NONLINEAR VIBRATORY CHARACTERISTICS AND BIFURCATIONS OF SHROUDED BLADES

Wang Yanqing Guo Xinghui~(2)) Liang Hongkun Li Jian Jin Chengwu (Institute of applied mechanics,Northeastern University,Shenyang 110004,China)  
A shrouded blade is investigated in this paper.The nonlinear equation of vibration is obtained in consideration of frictions between two shrouds,damping and geometric large-deformation.The system is discretized by Galerkin's method.The averaging method is applied to study the nonlinear response of the discrete modal equations,and nonlinear frequency-response curves are gained.It can be found that the results obtained by the averaging method agree well with those from numerical simulation.The stability of periodic solutions of the system is also investigated.The bifurcation phenomenon of the averaged equations is studied in detail by the theory of nonlinear vibrations.The results show the change process and nonlinear dynamic characteristics of the periodic solutions of averaged equations.The analytical results in this study indicate that the frictions between two neighboring shrouds have great effect on the nonlinear resonance characteristics of the second order of this system.For the continuous change of friction directions between two neighboring shrouds, the frequency-response curve of the second order becomes incontinuous and two different resonant frequency domains occur.As time passes,the vibrational amplitude of the system will jump from one frequency-response curve to the other between the two frequency domains in periods of T/4 continually,resulting in the vibrational response of the blade falls greatly.
【Fund】: 国家自然科学基金和上海宝钢集团公司联合资助项目(50574019)~~
【CateGory Index】: O322
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