Active control of flexible structures subject to distributed and seismic disturbances
Active control of flexible structures subject to distributed and seismic disturbances
复制标题
受分布式地震扰动的柔性结构的主动控制
DOI：
10.1115/1.2899192
复制
发表时间：
1993
影响因子：
1.7
通讯作者：
Y. Sawada
中科院分区：
文献类型：
--
作者：
A. Ohsumi;Y. Sawada
本文的目的是提出一种主动控制方法，用于抑制机械柔性悬臂梁的振动，该悬臂梁受分布随机扰动和地震输入的约束端。首先，用随机偏微分方程描述具有内粘滞阻尼且受地震和分布随机输入影响的Euler-Bernoulli型分布参数系统，建立了柔性结构的数学模型；其次，利用模态展开将无限维系统的分布参数模型简化为有限维系统，并将其分为受控部分和非受控（残差）部分；其主要方法是将非受控部分引起的观测溢出视为有色观测噪声，构造一个估计量，然后构造最优控制系统。最后，利用实际地震加速度数据进行了模拟研究。
The purpose of this paper is to present a method of active control for suppressing the vibration of a mechanically flexible cantilever beam which is subject to a distributed random disturbance and also a seismic input at the clamped end. First, the mathematical model of the flexible structure is established by a stochastic partial differential equation which describes the Euler-Bernoulli type distributed parameter system with internal viscous damping and subject to the seismic and distributed random inputs. Second, the distributed parameter model, which is considered as an infinite-dimensional system, is reduced to a finite-dimensional one by using the modal expansion, and split into the controlled part and the uncontrolled (residual) one. The principal approach is to regard the observation spillover due to uncontrolled part as a colored observation noise and construct an estimator, and then we construct the optimal control system. Finally, simulation studies are presented by using a real earthquake accelerogram data.