复杂荷载环境下海上风力机的建模及动力学特性分析

doi:10.3969/j.issn.1007-2861.2015.02.016

上海大学学报(自然科学版) ›› 2016, Vol. 22 ›› Issue (5): 573-585.doi: 10.3969/j.issn.1007-2861.2015.02.016

复杂荷载环境下海上风力机的建模及动力学特性分析

王青占, 赵建中, 郭兴明

上海大学上海市应用数学和力学研究所, 上海 200072

收稿日期:2015-06-16 出版日期:2016-10-31 发布日期:2016-10-31
通讯作者: 郭兴明(1964—), 男, 教授, 博士生导师, 博士, 研究方向为连续介质力学与力学中的数学方法. E-mail: xmguo@shu.edu.cn
作者简介:郭兴明(1964—), 男, 教授, 博士生导师, 博士, 研究方向为连续介质力学与力学中的数学方法. E-mail: xmguo@shu.edu.cn
基金资助:
国家重点基础研究发展计划(973计划)资助项目(2014CB0462003)

Dynamics modeling and analysis of offshore wind turbines under complicated loads

WANG Qingzhan, ZHAO Jianzhong, GUO Xingming

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2015-06-16 Online:2016-10-31 Published:2016-10-31

摘要/Abstract

摘要：

通过分析处于海风、海浪、海流、土壤力等复杂荷载作用下的海上风力机支撑结构, 采用赫维赛德阶跃函数和狄拉克函数建立了连续统一的、顶端带有集中质量块的悬垂梁风力机动力学模型. 基于对控制方程的Galerkin截断, 得到离散化的常微分方程组, 使用四阶Runge-Kutta方法求解, 得到了模型的动力学行为特性云图曲线. 通过悬垂梁风力机模型的时程曲线、庞加莱映射对风力机模型进行动力学分析, 给出了位移和速度的幅值随激振力频率变化的幅频特性曲线, 并研究了垂向激振、自重、变刚度参数对风力机结构振动特性及其稳定性的影响.

关键词: 变刚度, 变轴力, 动力响应, 复杂荷载, 海上风力机

Abstract:

By analyzing the structure and complexity of offshore wind turbines (OWTs), a beam model with free end carrying a concentrated mass body was built to analyze dynamical characteristics of OWTs subject to adverse working environment loads. Factors including vertical excitation, self-weight, rotary inertia and variety of stiffness were considered to study the effect on offshore wind turbines. A general and uniform governing equation was built by taking advantages of the Heaviside step function and Dirac delta function. Based on the Galerkin truncation and the Runge-Kutta time discretization, numerical solutions of the kinematic governing equation were obtained. By comparing with the analytical solution under specified conditions, validity of the method was checked. The time history of the beam’s free end was chosen to represent motion of the beam. Based on the steady time history of the beam, a Poincar´e map was constructed to study its periodic motion. Furthermore, an amplitude-frequency curve was given to find the dangerous frequency range where OWTs exist.

Key words: complicated load, varying axial force, varying rigidity , dynamic response, offshore wind turbines

王青占, 赵建中, 郭兴明. 复杂荷载环境下海上风力机的建模及动力学特性分析[J]. 上海大学学报(自然科学版), 2016, 22(5): 573-585.

WANG Qingzhan, ZHAO Jianzhong, GUO Xingming. Dynamics modeling and analysis of offshore wind turbines under complicated loads[J]. Journal of Shanghai University（Natural Science Edition）, 2016, 22(5): 573-585.

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复杂荷载环境下海上风力机的建模及动力学特性分析

Dynamics modeling and analysis of offshore wind turbines under complicated loads

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