Numerical Chladni figures

作者:Mueller Thomas
来源:European Journal of Physics, 2013, 34(4): 1067-1074.
DOI:10.1088/0143-0807/34/4/1067

摘要

The Chladni patterns of vibrating membranes or thin plates were already considered fascinating in the 18th century. As a simple way to visualize acoustic phenomena it is a valuable experiment for beginners%26apos; courses. In this paper I present NumChladni, an interactive tool for studying arbitrary two-dimensional vibrating membranes based on the finite element method. I also describe the straightforward approach of the underlying mathematical details and give some examples. NumChladni is directly applicable in the undergraduate classroom, for example, as a complement to experimental setups.

  • 出版日期2013-7