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提出了弹性薄板固有振动分析的贝蒂-瑞利互等功法.以常见约束情况下的矩形板为算例说明了该方法的分析过程,用止匕法求得的固有频率(方程)与已有的解析解完全一致.“,”A new analytical approach based on the Betty-Reyleigh\'\'s reciprocal theorem of work is introduced to study the nature vibration of plates. By means of it, we obtain the frequency (equation) ofrectangular plates which are the same as the known.