变截面梁的传递函数近似解法

An Improved Distributed Transfer Function Method For Wedge Beam

把有限元法与传递函数方法相结合，发展了一种便于处理变系数微分方程的传递函数方法。这种方法把有限元位移假设作为传递函数方法中对变系数部分预估的基础，然后再利用传递函数方法的标准解法进行处理。作为应用实例，利用此方法对变截面梁进行了具体的分析，并作了数值模拟。结果表明本方法既保留了传递函数方法的各种特点，又提高了单元的精度。

A new method combining the FEM and DTFM is present in this paper for solving the differ-ential equation with variable coefficients. In this method, an approximate solution is given using FEM,and the equation is transformed to a differential equation with constant coefficients, which can be solvedusing DTFM. Wedge beam is analyzed using this method, and numerical results are provided, which showthat this method has the property of DTFM but is more efficient in solving problems with variable coeffi-clents.