On the free vibrations of a rectangular plate with two opposite sides simply supported and the other sides attached to linear springs

Zarubinskaya, M.A.; Horssen, Wim T. van

doi:10.1016/j.jsv.2003.10.049

Cited by 12 publications

(7 citation statements)

References 16 publications

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“…SQUEEZE AIR DAMPING The µA from a structural point of view corresponds to a micro-capacitor whose one plate is attached to the ground while its other moving plate is floating on the air [21], [22], [23] with the aid of an additional external spring. Figure 1 presents the structure of the µA.…”

Section: Modeling Of Parallel Plate Actuators Withmentioning

confidence: 99%

Modeling and analysis of the squeezed film damping effect on electrostatic microactuators

Vagia

Tzes

2008

2008 16th Mediterranean Conference on Control and Automation

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In this article the modeling aspects of an electrostatic microactuator with squeezed thin film damping effects are presented. The actuator is composed of a microcapacitor whose one plate is clamped on the ground while the other plate is floating on the air with the aid of an external supporting spring. Its highly nonlinear dynamic model is linearized at various operating points. Variations of the gap between the plates and the air pressure of the system are examined in order to find possible changes in the bifurcation points or other characteristics of the system. Significant conclusions for the case of the bifurcation point have been drawn and simulation studies substantiate the presented results.

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Section: Modeling Of Parallel Plate Actuators Withmentioning

confidence: 99%

Modeling and analysis of the squeezed film damping effect on electrostatic microactuators

Vagia

Tzes

2008

2008 16th Mediterranean Conference on Control and Automation

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“…For the given stated boundary conditions, closed form solutions can be found [11] for the free-response expressions w(x, y, t). Retaining a finite number of modes the ordinary differential equation describing the motion for the n-th mode isη…”

Section: A Dynamic Plate Modellingmentioning

confidence: 99%

Intelligent Robust Controller Design for a Micro-actuator

Vagia

Nikolakopoulos

Tzes

2006

J Intell Robot Syst

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“…For the given stated boundary conditions, closed form solutions can be found (Zarubinskaya and Horssen, 2003) for the free-response expressions w (x, y, t). Retaining a finite number of modes the ordinary differential equation describing the motion for the nth mode is…”

Section: Dynamic Plate Modelmentioning

confidence: 99%

Multi–parametric H∞ Control of a Micro Actuator

Tzes

Nikolakopoulos

Dritsas

et al. 2005

IFAC Proceedings Volumes

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In this article the control problem of a micro-actuator (µ − A) is considered. The µ − A is composed of a micro-capacitor, whose one plate is clamped while its other flexible plate's motion is constrained by hinges acting as a combination of springs and dashpots. The distance of the plates is varied by the applied voltage between them. The flexibility of the moving plate coupled to the dynamics of the plate's rigid-body motion results in an unstable, nonlinear system of distributed nature. Utilization of FEM can approximate the µ − A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. A controller composed of: a) a feedforward term for regulation at selected setpoints, and b) a constrained finite time optimal controller to handle any deviations from the equilibrium is synthesized. Simulation studies are used to investigate the efficacy of the suggested controller.Copyright c 2005 IFAC

show abstract

On the free vibrations of a rectangular plate with two opposite sides simply supported and the other sides attached to linear springs

Cited by 12 publications

References 16 publications

Modeling and analysis of the squeezed film damping effect on electrostatic microactuators

Modeling and analysis of the squeezed film damping effect on electrostatic microactuators

Intelligent Robust Controller Design for a Micro-actuator

Multi–parametric H∞ Control of a Micro Actuator

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