Modeling of a Membrane Mirror Strip Actuated Using a Piezoelectric Bimorph

Aerospace ◽  
2006 ◽  
Author(s):  
Jamil M. Renno ◽  
Pablo A. Tarazaga ◽  
Michael T. Seigler ◽  
Daniel J. Inman
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Physical Properties ◽  
Piezoelectric Bimorph ◽  
The Finite Element Method ◽  
One Dimensional ◽  
Proposed Model ◽  
The One ◽  
Improved Model ◽  
Membrane Strip

This paper presents an improved model for the one-dimensional behavior of a membrane mirror strip actuated using a piezoelectric bimorph. This model specifically accounts for the changes in physical properties of the membrane strip at the location of the piezoelectric bimorph. The membrane strip is modeled as a pinned-pinned beam under tension and the finite element method (FEM) is used to represent the system mathematically. The frequency response obtained from the proposed model is shown to be in agreement with experiments. Furthermore, the importance of including local mass and stiffness effects is demonstrated.

An Experimentally Verified Model of a Membrane Mirror Strip Actuated Using a Piezoelectric Bimorph

2006 ◽  
Vol 129 (5) ◽  
pp. 631-640 ◽  
Author(s):  
Jamil M. Renno ◽  
Daniel J. Inman
Keyword(s):  
Traveling Wave ◽  
Flexural Rigidity ◽  
Piezoelectric Bimorph ◽  
The Finite Element Method ◽  
Wave Effect ◽  
Traveling Wave Effect ◽  
Air Damping ◽  
Proposed Model ◽  
Improved Model ◽  
Membrane Strip

The behavior of a membrane mirror strip actuated using a piezoelectric bimorph is treated. An improved model for the transverse vibration is presented. The model accounts for the changes in physical properties of the membrane strip at the location of the piezoelectric bimorph. The membrane strip is modeled as a pinned-pinned beam under tension and the finite element method (FEM) is used to represent the system mathematically. The beam under tension assumption allows accounting for the traveling wave effect experienced by a membrane strip and the added flexural rigidity induced by the piezoelectric bimorph. Additionally, the structural and air damping effects are included in the model. An experimental setup is built to verify the proposed model. The frequency response obtained from the proposed model is shown to be in agreement with conducted experiments. Furthermore, the importance of including local mass and stiffness effects is demonstrated.

scholarly journals Finite Element Analysis of Thermoelastic Contact Stability

1994 ◽  
Vol 61 (4) ◽  
pp. 919-922 ◽  
Author(s):  
Taein Yeo ◽  
J. R. Barber
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Steady State ◽  
Eigenvalue Problem ◽  
Linear Perturbation ◽  
Dimensional System ◽  
The Finite Element Method ◽  
One Dimensional ◽  
Thermoelastic Contact ◽  
Element Method

When heat is conducted across an interface between two dissimilar materials, theimoelastic distortion affects the contact pressure distribution. The existence of a pressure-sensitive thermal contact resistance at the interface can cause such systems to be unstable in the steady-state. Stability analysis for thermoelastic contact has been conducted by linear perturbation methods for one-dimensional and simple two-dimensional geometries, but analytical solutions become very complicated for finite geometries. A method is therefore proposed in which the finite element method is used to reduce the stability problem to an eigenvalue problem. The linearity of the underlying perturbation problem enables us to conclude that solutions can be obtained in separated-variable form with exponential variation in time. This factor can therefore be removed from the governing equations and the finite element method is used to obtain a time-independent set of homogeneous equations in which the exponential growth rate appears as a linear parameter. We therefore obtain a linear eigenvalue problem and stability of the system requires that all the resulting eigenvalues should have negative real part. The method is discussed in application to the simple one-dimensional system of two contacting rods. The results show good agreement with previous analytical investigations and give additional information about the migration of eigenvalues in the complex plane as the steady-state heat flux is varied.

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