非均匀弹性地基上梁横向振动的渐近解法

研究非均匀弹性地基上梁的横向振动，提供了一种既能保证较高精度、计算又非常简单的固有频率的渐近解法，作为算例，给出了非均匀弹性地基上悬臂梁固有频率的一级近似计算公式并将计算结果与连续质量有限元素法的计算结果作了比较。

An Asymptotic Solution of Transverse Vibrations of Beams on Nonuniform Elastic Foundations

This paper studies the transverse vibrations of beams on nonuniform elastic foundations. An asymptotic solution for natural frequencies of transverse vibrations of beams is presented with very simple form and good accuracy. The first -order approximate formulas of frequencies are given with particular reference to cantilever beams as a calculating example and the results are compared with those of finite elements.