%0 Journal Article
%T ANALYSIS OF A TWO-STROKE OSCILLATOR MODEL HAVING THE GOODWIN CHARACTERISTIC<br>一种二拍振荡器模型的分析
%A YU CHUEI-PANG
%A <br>虞厥邦
%J 物理学报
%D 1963
%I 
%X A Le Corbeiller oscillator having the Goodwin characteristic is one of the simplest two-stroke oscillator model, its periodic process was discussed by Le Corbeiller and de Figueiredo with the help of Liénard construction-a graphical method5] in 1] and 2]. In this paper, the above problem is approached from analytic ways. Starting from the Lord Rayleigh type equation: x+f(x)+x=0 (1) by means of the piecewise linear method, the reduced characteristic F(x) is written as f(x)={-2h1x x2x-k x>b, where h1, h2,b, k are constants. By using the point-transformation and sussesor-func-tion theory3], the author proves that when 0 < h1 < h2 < 1 ,0 < h1 < 1 < h2, there is an unique and stable periodic solution of (1), and the oscillation has the soft-excitation character.The analytic expressions of the period and waveform for stable periodic solution are also given.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=D7C333AFA54A66D5&yid=49BEA5698E310F48&vid=2A8D03AD8076A2E3&iid=9CF7A0430CBB2DFD&sid=41A78CBB5BAB6860&eid=90773C2285A2F0BB&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0