角点支承矩形板的振动
Vibrations of Rectangular Plates Supported at Corner Points
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摘要: 本文用能量原理讨论在四角点被支承的矩形板上有对称的集中质量时计算最低固有频率的近似方法.当板上有几个集中质量的情形下,可应用迭加原理,很方便地求出质量换算系数,从而求出薄板的最低固有频率.文中列举了许多数值算例.Abstract: This paper discusses by energy theorem the methodof approximate computation for the lowest eigenfrequencies of rechmguhir plates,on which there are symmetrical concentrated masses,supported at corner points,In the case of seseral concentrated masses,by using the prineiple of superposition we mayfiml the reduneed coefficients of masses comveniently.llence we can louain the lowest eigenfrequencies of thin plates.In the paper a good mamy mmerical caleuhting eximples are illustrated.
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[1] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Platex and Shells,second edition,McGraw-Hill Book Comp.Inc.(1959). [2] Лехницкий С.Г.,Анизомропные Пласминкиц,Гостехиздат,М.(1957) [3] Rayleigh,J.W.S.,Theory of Sound,Macinillan and Co.Ltd.,London(1877). -
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