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本文用有限元和统计理论对混凝土拱坝的自振特性按三种典型河谷(“V”形、梯形、抛物线形)进行了研究。结果表明:拱坝的固有周期不仅随坝高变化,而且因河谷而异,但与坝高均成直线变化。文中给出三种河谷情况下自振周期与坝高的关系式;对应于固有周期的固有振型(顶拱径向)与坝的厚度高比n(n=坝底部最大厚度/坝高)密切有关。在“V”形河谷情况下,n>0.225呈“正对称”振型,反之为“反对称”振型;在梯形河谷情况下,n>0.25呈“正对称”振型,反之为“反对称”振型。
In this paper, finite element and statistical theory are used to study the natural vibration characteristics of concrete arch dams according to three typical valleys (“V” shape, trapezoidal shape, and parabolic shape). The results show that the inherent period of the arch dam not only varies with the height of the dam, but also varies with the valley, but changes linearly with the height of the dam. The relationship between the natural vibration period and the dam height in the case of three river valleys is given in this paper; the ratio of natural vibration (top arch radial) and the thickness ratio of the dam corresponding to the natural period n (n=basis maximum thickness/dam height) Closely related. In the case of the “V” shaped valley, n>0.225 is a “positive symmetry” mode, and vice versa is an “antisymmetric” mode; in the trapezoidal case, n>0.25 is a “positive symmetry” mode, and vice versa is an “opposition. Said ”mode shape.