CAJ | 학술논문

应用拉格朗日方程建立了旋转柔性叶片非线性动力学控制方程.文中考虑了由于质量偏心所造成的弯曲与扭转振动的耦合,并假设了弯曲与扭转的一价振型对方程进行了离散,通过数值仿真给出了旋转运动所产生的叶片端部弯曲位移及转角位移,揭示了在叶片扭转刚度较大时,转角位移非常小.本文所建立的动力学方程可用于考虑弯扭耦合时实际旋转叶片的动力学分析.
응용랍격랑일방정건립료선전유성협편비선성동역학공제방정.문중고필료유우질량편심소조성적만곡여뉴전진동적우합,병가설료만곡여뉴전적일개진형대방정진행료리산,통과수치방진급출료선전운동소산생적협편단부만곡위이급전각위이,게시료재협편뉴전강도교대시,전각위이비상소.본문소건립적동역학방정가용우고필만뉴우합시실제선전협편적동역학분석.
Non-linear dynamical control equations of a rotating flexible beam was presented by using Lagrange equations in the paper.The coupling vibration of bending and twisting resulted from the mass eccentricity was considered.Assumed first mode of bending and twisting be used to discrete the equations.The displacement and angular displacement of the blade tip resulted from the angular motion were given by using numerical simulation.It is shown that the angular displacement is very small when the twisting rigid is relatively large.The equations in this paper can be used in the dynamical analysis of practical blade considering the coupling vibration of bending and twisting.