简谐激励下多跨连续梁振动问题的解析解

Analytical Solution of the Vibration of Simple Harmonic Excitation of Continuous Beam

本文把多跨连续梁按单跨梁处理,将中间支座反力视为作用在梁上的未知外力。给出简谐激励下多跨连续粱动位移的解析式,同时还给出了自由振动的频率方程和振型函数的统一解析式,比已有的方法更为简单实用。

In the paper,we thought of reactive force of intermediate constraints of continuous beam as the unknown direct loads on one-span beam. We discussed the dynamic response of one-span beam under the simple harmonic forces and direct unknown loads. We offered the analytical solution for the problem and gave the frequency equations and mode shape functions of free vibration for continuous beam. The method was more concise and useful than some others.