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双参数地基板振动的中值定理
THE THEOREM OF MEAN VALUE OF VIBRATION FOR PLATES ON FOUNDATION OF TWO PARAMETERS
【摘要】 本文提出并证明了双参数地基板振动的中值定理。如果G_p=0、G_p=k=0就分别得到Winklcr地基板和一般弹性薄板振动的中值定理。如果ω=0、ω=G_p=0、ω=G_p=k=0就分别得到双参数地基板、Winklcr地基板和一般弹性簿板的中值定理。
【Abstract】 In this paper, a theorem of mean value of vibration of plates resting on foundation of two parameters is presented. And, it is also proved that if Gp = 0 and Gp = k=0, this theorem of mean value of vibration is reduced to the theorem of mean value for plates on Winkler’s foundation and for ordinary elastic thin plates respectively. And, if ω = 0, ω = Gp = 0 and = Gp = k=0 we obtain respectively the theorem of mean value of plates resting on foundation of two parameters, of plates on Winkler’s foundation and of ordinary elastic thin plates.
【关键词】 中值定理;
双参数地基板;
振动;
【Key words】 Theorem of mean value; Plates on foundation of two parameters; Vibration.;
【Key words】 Theorem of mean value; Plates on foundation of two parameters; Vibration.;
- 【文献出处】 上海力学 , 编辑部邮箱 ,1995年02期
- 【分类号】O327
- 【被引频次】5
- 【下载频次】39