深海立管固有振动特性的进一步分析  

Further analysis on natural vibration of deep-water risers

作　　者：张杰[1] 唐友刚[1] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072

出　　处：《船舶力学》2014年第1期165-171,共7页Journal of Ship Mechanics

基　　金：国家自然科学基金资助项目(51079097);国家自然科学基金创新研究群体科学基金(51021004)

摘　　要：深海立管固有振动特性是参激振动、涡激振动等复杂振动分析的基础,而立管振动是变系数四阶偏微分方程,不易直接求解。为准确获得立管的固有频率和振型,根据定常轴力下立管固有振动特性的经典理论,考虑深水立管长细比大、自重影响及顶端受浮体升沉影响等特点,分析立管固有振动特性的变化,针对不同的分析模型,提出不同的固有振动特性计算公式,并提出简化计算方法,以满足工程应用和进一步研究的需要。The investigation on the natural vibration characteristics of deep-water riser is of significant importance for understanding the mechanism of parametric vibration and vortex-induced vibration, and vibration of the riser, described by a fourth-order partial differential equation, is difficult to solve analytical- ly. This paper presents natural vibration analysis of deep-water riser with a simplified analytical method based on classical vibration theory. The effects of gravity, bending stiffness and floating platform heave on the natural vibration are investigated and discussed. The results indicate that the simplified analytical method is easily programmed on portable computers and can meet the demand of engineering application and research of complex vibration.

关 键 词：深海立管 固有振动特性 解析解 简化计算 

分 类 号：TH113.1[机械工程—机械设计及理论]