确定无约束梁耦合振型的一种途径

摘要

无约束梁耦合振动问题属于单柔体动力学问题,确定无约束梁耦合振型对于分析梁的振动性质具有重要意义.首先给出单柔体动力学的拟变分原理,然后分析无约束梁耦合振动的特点,应用单柔体动力学的拟变分原理建立了确定无约束梁耦合振型的一种途径.应用这种途径求解无约束梁耦合振动的奇数次振型和偶数次振型.最后,讨论了有关问题.%The coupled vibration of unrestrained beam is single flexible body dynamics problem. For the analysis on properties of beam's vibration, it is very important to determine coupled vibration mode of unrestrained beam. Quasi-variational principle of single flexible body dynamics is presented. Then the properties of coupled vibration of unrestrained beam are analyzed. A approach of coupled vibration mode determined of unrestrained beam is established by quasi-variational principle of single flexible body dynamics.The even- and odd-order vibration mode of unrestrained beam coupled vibration is obtained by this approach. Finally, some correlative problems are discussed.