水中桩弯曲振动频率的简化计算公式
Simplified formula for frequency of bending vibration of piles in water
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摘要: 讨论了水中高承台桩的弯曲振动特性,引入附加质量的概念,假定一部分水体附着在桩上和桩一起振动,增加了桩的质量, 而不改变桩的抗弯刚度,使得桩分为密度不同的两段,根据达朗贝原理分别列出桩的弯曲振动方程,得出方程组,利用桩的连续性和边界约束条件求解方程组,得到一个计算频率的公式,并对计算桩长的选取进行了分析。通过对比东海大桥风力发电场风机基础中一根桩和青岛海湾大桥两根桩的实际检测数据与计算值,证明了此公式运算简单,精度较高,可以为工程上采用。Abstract: The characteristics of bending vibration of high piles in water are discussed by introducing the additional mass. It is supposed that the mass of some water attaches to the piles and vibrates with them, however it increases the mass of the piles but doesn’t change their bending rigidity. Thus, the piles can be divided into two parts with different densities. The bending vibration equations of the piles are put forward based on the D’alembert principle. A group of equations are obtained and solved by the condition of the continuity of piles and edge-restraints in which the formula of natural frequency of piles in water can be obtained. The determination of the pile length is analyzed. The comparisons are made between the calculated and measured values for one pile in Donghai Sea Wind Farm and for two piles in Tsingdao Sea Bridge. The agreed results indicate the formula has good precision with simple form, which can be applied in projects.