论文部分内容阅读
本文讨论的是拱的动力分析的问题。到目前为止，对于等断面的圆弧形的曲杆或拱，已有了完整的理论分析。对于非等断面或非圆弧形的曲杆或拱，只有几种近似计算法。这就是集中质量法、机动链法和用刚架代替拱来计算频率的方法。本文在分析了过去各种近似法的误差之后，提出了决定非圆拱频率的新的近似法。新建议的方法是以圆拱代替非圆拱，借助集中质量法找到合适的对应圆拱，然后利用圆拱频率的公式和图表计算非圆拱的频率。 分析结果表明，新建议的方法是比较准确的。
This article discusses the issue of dynamic analysis of arches. So far, there has been a complete theoretical analysis of arc-shaped curved rods or arches of equal section. For non-equal or non-circular curved bars or arches, there are only a few approximate calculations. This is the lumped mass method, the maneuvering chain method, and the method of calculating the frequency by replacing the arch with a rigid frame. In this paper, after analyzing the errors of various approximation methods in the past, a new approximate method for determining the frequency of non-circular arches is proposed. The new proposed method is to replace the non-circular arch with a circular arch, find the appropriate corresponding circular arch with the help of the lumped mass method, and then calculate the frequency of the non-circular arch using the formula of the frequency of the arches and the diagram. The analysis results show that the new proposed method is more accurate.