DocumentCode
1377024
Title
A method of solving Mathieu´s equation
Author
Smith, J. J.
Author_Institution
General Electric Company, Schenectady, N. Y.
Volume
74
Issue
4
fYear
1955
Firstpage
520
Lastpage
525
Abstract
MATHIEU´S equation ${d^{2}y over dt^{2}} + (b - 2q cos 2t)y = 0 eqno{hbox{(1)}}$ is gradually becoming a very important equation in physics and engineering. It apparently first appeared in a paper by Mathieu1 on the vibration of an elliptic membrane. However, since that time it has made its appearance in many practical problems in the fields of mechanics, electricity and magnetism, sound, etc. Many such examples will be found in McLachlan´s book on Mathieu functions.2
Keywords
Approximation methods; Equations; Force; Green´s function methods; Instruments; Ions; Oscillators;
fLanguage
English
Journal_Title
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
Publisher
ieee
ISSN
0097-2452
Type
jour
DOI
10.1109/TCE.1955.6372408
Filename
6372408
Link To Document