【摘 要】
:
The incremental harmonic balance method was extended to analyze the flutter of systems with multiple structural strong nonlinearities. The strongly nonlinear cu
【机 构】
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School of Engineering,Deptartment of Applied Mechanics and Engineering
【基金项目】
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教育部高等学校博士学科点专项科研基金;广东省自然科学基金;中山大学校科研和教改项目;中山大学校科研和教改项目
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The incremental harmonic balance method was extended to analyze the flutter of systems with multiple structural strong nonlinearities. The strongly nonlinear cubic plunging and pitching stiffness terms were considered in the flutter equations of two-dimensional airfoil. First, the equations were transferred into matrix form, then the vibration process was divided into the persistent incremental processes of vibration moments. And the expression of their solutions could be obtained by using a certain amplitude as control parameter in the harmonic balance process, and then the bifurcation,limit cycle flutter phenomena and the number of harmonic terms were analyzed. Finally,numerical results calculated by the Runge-Kutta method were given to verify the results obtained by the proposed procedure. It has been shown that the incremental harmonic method is effective and precise in the analysis of strongly nonlinear flutter with multiple structural nonlinearities.
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