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水中梁在地面运动作用下的受迫振动问题,由于所求解的方程和边界条件的复杂性,很难得到精确解.有些文献求解时假定梁的动力反应与梁在空气中的最低振型成正比,这具有较大的近似性;有些文献则将动力位移反应按梁在空气中的振型展开,所得到的求解振型坐标的方程互相耦联,求解仍较困难.本文将梁的动力位移按梁在水中的振型展开,所得到的求解振型坐标的方程互相独立,求解较为方便.本文的方法是一个精确而有效的方法.
Due to the complexity of the equations and the boundary conditions of the underwater beams, the forced vibration of the underwater beams is difficult to obtain exact solutions. In some literatures, it is assumed that the dynamic response of the beam and the minimum vibration mode of the beam are In proportion, this has a large similarity; in some literatures, the dynamic displacement response is developed in accordance with the vibration mode of the beam in the air, and the obtained equations for solving the mode coordinates are coupled to each other, and the solution is still difficult. This article will drive the beam The displacement is developed according to the vibration mode of the beam in the water. The obtained equations for solving the mode coordinates are independent and the solution is more convenient. The method in this paper is an accurate and effective method.