梁/液体耦合振动的边界积分对称列式法

 利用格林积分导出的液体内部扰动压力函数作为测试函数,通过变分得到一组具有对称系数的代数方程,将该方程同梁的有限元振动方程联立后,即可求解梁在液体中的耦合振动问题。本方法具有未知数目少,数据存储和计算效率高的特点。

SYMMETRIC BOUNDARY INTEGRAL FORMULATION OF THE COUPLING VIBRATION OF AN IMMERSED BEAM

An approximate function of the dynamic pressure of liquid in which a beam is vibrating is given by integration of Green's formula, than algebraic equations with symmetric coefficient matrices are obtained from the original problem by variational method. Solving the finite element dynamic equations of the beam coupled with the liquid pressure equations, we can find the solution of the coupled vibration of the immersed baem. Because only the boundary degrees of freedom of the fluid field are left in the liquid dynamic pressure equations, the numeber of algebraic equations is much smaller than that in common finite element method. At the same time, as all coefficient matrices of the equations are symmertrical, the present method is better than the common boundary element method in data storage and computational efficiency.