摘要
水闸底板计算在目前水工结构设计中,是一项比较常见的计算工作,根据闸孔净宽的不同,常用的计算方法有倒置梁法、直线假定法、弹性地基法。弹性地基法是目前大中型水闸常用的计算方法,工程设计中常用郭氏法进行计算。通过参考弹性地基梁的三角级数解法的相关方程,利用数学推导,整理出了适用于平原区水闸底板应力分析的典型方程组,说明了公式应用的主要假定及边界条件。为了便于读者检验本法,通过典型的工程实例,计算了建成无水工况下闸底板的弯矩,并与郭氏表法进行了对比,说明三角级数解法的运用不仅提高了计算效率与精度,而且证明利用该方法的简洁性、精确性,在平原区中型水闸的底板结构计算中值得推广。
Calculation of Sluice plate is a relatively common calculation in the current design of hydraulic structures. According to the different widths of sluice opening, the calculation methods used include inverted beam method, assuming straight-line met od, and elastic foundation method. Elastic foundation method is commonly used in the calculation of medium-sized sluices with Guo＇s table method. In accordance with the calculation formula using trigonometric series method of elastic foundation beam, the equations suitable for analysis on internal force of sluice plate in plain areas are sorted out. Meantime, the paper elaborates the main assumptions and boundary conditions for equations application. In order to make it easy for readers to test out this method, through the typical engineering example, the calculation for the bottom gate under the moment anhydrous conditions is completed, and is compared with Guo＇s table method. This paper shows that the use of trigonometric series solution not only improves the computational efficiency and accuracy, but also is with simplicity and accuracy. It is worth promoting in the analysis on internal force of sluice plate for the medium-sized gates in plain areas.
出处
《南水北调与水利科技》
CAS
CSCD
2011年第4期156-159,共4页
South-to-North Water Transfers and Water Science & Technology
关键词
水闸底板
弹性地基梁
荷载
柔度系数
三角级数解法
应用比较
sluice plate
elastic foundation beam
load
coefficient of pliability
trigonometric series method
application and comparison
