科研之友
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摘要
We use the Liouville-Green transformation to derive a new approximate solution to Liouville's problem. This approximate solution is then applied to the eigenvalue problem of free vibrations of non-homogeneous rectangular membranes. The examples show that the fundamental natural frequencies obtained in this work are in good agreement with those of previous studies. The main advantage of our method is that it is simple, easy to implement.
- 出版日期2014-7
- 单位湖南科技大学
