• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2018, Vol. 54 ›› Issue (18): 115-122.doi: 10.3901/JME.2018.18.115

• 运载工程 • 上一篇    下一篇

压电圆环结构动刚度控制有限差分仿真分析

王雷1, 邓宗全2, 武练梅3, 汪豪蒂1   

  1. 1. 哈尔滨工业大学船舶与海洋工程学院 威海 264209;
    2. 哈尔滨工业大学机电工程学院 哈尔滨 150001;
    3. 北京电子工程总体研究所 北京 100085
  • 收稿日期:2017-09-28 修回日期:2018-03-20 出版日期:2018-09-20 发布日期:2018-09-20
  • 通讯作者: 王雷(通信作者),男,1982年出生,讲师。主要研究方向为智能结构设计及应用。E-mail:leonwl@hit.edu.cn
  • 作者简介:邓宗全,男,1956年出生,博士研究生导师。主要研究方向为宇航空间机构及控制、特种环境移动机器人。E-mail:dengzq@hit.edu.cn
  • 基金资助:
    国家自然科学基金(51405105)、中国博士后科学基金(2015M571424)和哈尔滨工业大学科研创新基金(HIT.NSRIF.201706)资助项目。

Analysis of Piezoelectric Ring Finite Difference Simulation with Dynamic Stiffness Control

WANG Lei1, DENG Zongquan2, WU Lianmei3, WANG Haodi1   

  1. 1. School of Naval Architecture and Ocean Engineering, Harbin Institute of Technology, Weihai 264200;
    2. School of Mechatronic Engineering, Harbin Institute of Technology, Harbin 150001;
    3. Beijing Institute of Electronic Engineering, Beijing 100085
  • Received:2017-09-28 Revised:2018-03-20 Online:2018-09-20 Published:2018-09-20

摘要: 薄壁飞行器结构在高超音速飞行过程中需要对局部环状区域进行刚度增强。对于层合了压电传感与控制器的圆环刚度控制系统,提出了一种圆环多模态智能结构单元混合程序仿真模型,可以对独立模态进行闭环刚度控制。利用有限差分法,将压电圆环动力学偏微分方程转化为含有压电传感与控制效应矩阵的智能结构单元数学矩阵模型;为了解决大矩阵运算和多次循环迭代的问题,建立基于C++/MATLAB混合编程的智能结构单元仿真系统;采用余弦状传感/作动器贴片,对独立模态的位移/加速度反馈动刚度控制进行算例分析,就不同差分密度、积分时间步长和增益比例系数等条件下进行频域与时域仿真分析,取得了较为满意的结果。该方法为复杂回转曲面结构的智能结构系统的大数据量离散化仿真分析提供了新的解决方案。

关键词: 刚度控制, 混合程序仿真, 压电圆环, 有限差分离散化模型

Abstract: During the flight of hypersonic aircraft, stiffness of some local annular region needs to be enhanced. For the stiffness control system of the ring laminated with piezoelectric sensor and actuator, an annular multi-modes smart element hybrid programming simulation model has been developed to simulate and analyze the closed-loop stiffness control of independent mode. The dynamic partial differential equations of piezoelectric ring are transformed onto ordinary differential equations containing sensing and control effect matrix by finite difference method. To solve the big-matrix calculation and multiple iteration problem, hybrid programming smart element simulation system is developed with C++ and MATLAB. The cosine type sensor/actuator controlling the dynamic stiffness of independent mode with displacement/acceleration feedback is employed to be a simulation example. Simulations and analysis are conducted in different conditions of differential density, integral time step and gain ratio, and relatively satisfying result is obtained. This method provides a new solution to the big-data discrete simulation and analysis of complex rotary surface smart structure system.

Key words: finite difference discrete model, hybrid programming simulation, piezoelectric ring, stiffness control

中图分类号: