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

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。

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.