Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-22T15:53:40.175Z Has data issue: false hasContentIssue false
  • English
  • Français

The Determination of an Upper Bound of the Lowest Natural Frequency of a Star Shaped Membrane

Published online by Cambridge University Press:  04 July 2016

Patricio A. Laura
Patricio A. Laura*
Affiliation:
Mechanical Engineering Department, The Catholic University of America
Get access Rights & Permissions [Opens in a new window]

Extract

Let Г be a closed curve in the z-plane with p-axis of symmetry. The mapping function

maps in general the interior of the unit circle |ξ| < 1 on to the interior of Г such that ξ=0 is transformed into z=0.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 68 , Issue 646 , October 1964 , pp. 703
Copyright
Copyright © Royal Aeronautical Society 1964

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Laura, P. A. On the Determination of the Natural Frequency of a Star Shaped Membrane. J.R.Ae.S., April 1964.CrossRefGoogle Scholar
2.Szezö, G. Conformal Mapping Related to Torsional Rigidity, Principal Frequency and Electrostatic Capacity. Proceedings of a Symposium—N.B.S., June 1949.Google Scholar