General parametric stiffness excitation – anti-resonance frequency and symmetry
General parametric stiffness excitation – anti-resonance frequency and symmetry
复制标题
一般参数刚度激励 – 反共振频率和对称性
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
F. Dohnal
中科院分区：
文献类型：
--
作者：
F. Dohnal
本文介绍了采用具有一般刚度元件的作动器概念进行消振的稳定性研究。考虑具有任意数量的自由度的线性弹簧和阻尼元件的系统，该系统受到自激以及由具有任意相位关系的刚度变化引起的参数激励。充分振动抑制的一般条件推导出了应用奇异摄动技术。这些条件自然导致参数共振和反共振的条款，并使稳定性分类的参数激励矩阵和它们的对称性。结果进行了比较，以前的调查系统与一个单一的或同步的刚度变化的时间和几何解释。这些基本结果可用于具有周期性驱动刚度元件和任意相位关系的执行器的控制策略设计。
SummaryStability investigations on vibration cancelling employing the concept of actuators with general stiffness elements are presented. Systems with an arbitrary number of degrees of freedom with linear spring- and damping elements are considered, that are subject to self-excitation as well as parametric excitation by stiffness variations with arbitrary phase relations. General conditions for full vibration suppression are derived analytically by applying a singular perturbation technique. These conditions naturally lead to the terms of parametric resonance and anti-resonance and enable a stability classification with respect to the parametric excitation matrices and their symmetry properties. The results are compared to former investigations of systems with a single or synchronous stiffness variation in time and geometrical interpretations are given. These basic results obtained can be used for design of a control strategy for actuators with periodically actuated stiffness elements and arbitrary phase relations.