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首页> 外文期刊>International journal of non-linear mechanics >Bifurcation analysis of an electro-statically actuated micro-beam in the presence of centrifugal forces
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Bifurcation analysis of an electro-statically actuated micro-beam in the presence of centrifugal forces

机译：离心力作用下静电致动微束的分叉分析

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In this paper, the influence of centrifugal forces on the stability of an electro-statically actuated clamped-clamped micro-beam has been investigated. The non-dimensional governing static and dynamic equations have been linearized using the step by step linearization method (SSLM), then, a Galerkin-based reduced order model has been used to solve the linearized equations. For constant value of a bias DC voltage and different values of angular velocity the equilibrium points of the corresponding autonomous system including stable center points, unstable saddle points and singular points have been obtained using the equivalent mass-spring model. Subsequently the bifurcation diagram has been depicted using the obtained fixed point. The static pull-in voltage value for different values of angular velocity and the static pull-in angular velocity for different values of bias voltage have been calculated. The obtained results are validated using results of previous studies and a good agreement has been observed. The effect of the centrifugal force on the fixed points has been studied using the phase portraits of the system for different initial conditions. Moreover, the effects of centrifugal forces on the dynamic pull-in behavior have been investigated using time histories and phase portraits for different angular velocities.
机译：在本文中，研究了离心力对静电致动的夹紧式微束的稳定性的影响。使用逐步线性化方法（SSLM）将无量纲控制的静态和动态方程线性化，然后，使用基于Galerkin的降阶模型求解线性方程。对于恒定的直流偏置电压值和不同的角速度值，已使用等效质量弹簧模型获得了相应的自治系统的平衡点，包括稳定的中心点，不稳定的鞍点和奇异点。随后，使用获得的固定点描述了分叉图。计算出不同角速度值的静态吸合电压值和不同偏置电压值的静态吸合角速度。使用先前研究的结果验证了获得的结果，并且已经观察到良好的一致性。已经使用系统在不同初始条件下的相像研究了离心力对固定点的影响。此外，已经针对不同的角速度使用时间历史和相图研究了离心力对动态吸合行为的影响。

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