Uniform stabilization of a quasilinear plate model in hyperbolic thermoelasticity

2015 ◽  
Vol 39 (8) ◽  
pp. 2146-2158
Author(s):  
C. Buriol ◽  
G. P. Menzala
Keyword(s):  
Plate Model ◽  
Uniform Stabilization ◽  
Hyperbolic Thermoelasticity

scholarly journals Null controllability of a thermoelastic plate

2002 ◽  
Vol 7 (11) ◽  
pp. 585-599 ◽  
Author(s):  
Assia Benabdallah ◽  
Maria Grazia Naso
Keyword(s):  
Thermal Control ◽  
Finite Energy ◽  
Null Controllability ◽  
Energy Solution ◽  
Plate Model ◽  
Time And Space ◽  
Thermal Equation ◽  
Control Time ◽  
Thermoelastic Plate ◽  
Finite Energy Solution

Thermoelastic plate model with a control term in the thermal equation is considered. The main result in this paper is that with thermal control, locally distributed within the interior and square integrable in time and space, any finite energy solution can be driven to zero at the control timeT.

scholarly journals Progress Report on the Southern Proper Motion Program

1995 ◽  
Vol 166 ◽  
pp. 357-357
Author(s):  
I. Platais ◽  
T. M. Girard ◽  
V. Kozhurina-Platais ◽  
R. A. Mendez ◽  
W. F. Van Altena ◽  
...  
Keyword(s):  
Reference Frame ◽  
Proper Motion ◽  
Systematic Errors ◽  
Progress Report ◽  
Model Choice ◽  
Plate Model ◽  
Field Independent ◽  
The Status ◽  
First Results ◽  
Galaxy Model

We present the status of the Yale/San Juan Southern Proper Motion program (SPM) which is the southern hemisphere extension of the Lick Observatory Northern Proper Motion program with respect to faint galaxies (Platais et al., 1993). To date, measurements and reductions in the South Galactic Pole region comprising ≈ 1000 square-degrees on the sky have been finished. At this stage of the SPM program particular attention has been paid to the plate model choice along with an assessment of and accounting for systematic errors. For our establishing of a secondary reference frame we have noticed the presence of a potentially dangerous effect, so–called field–independent coma which is caused by lens decentering. We acknowledge the superb Hipparcos preliminary positions without which such analysis would be virtually impossible. The SPM data at the SGP region have also been used to constrain a multi–component Galaxy model. First results of this analysis are presented.

Application of projection-based model reduction to finite-element plate models for two-dimensional traveling waves

2016 ◽  
Vol 28 (14) ◽  
pp. 1886-1904 ◽  
Author(s):  
Vijaya VN Sriram Malladi ◽  
Mohammad I Albakri ◽  
Serkan Gugercin ◽  
Pablo A Tarazaga
Keyword(s):  
Finite Element ◽  
Model Reduction ◽  
Traveling Waves ◽  
Large Scale ◽  
Fe Model ◽  
Plate Model ◽  
Reduction Techniques ◽  
State Frequency ◽  
Scale Down ◽  
The Stability

A finite element (FE) model simulates an unconstrained aluminum thin plate to which four macro-fiber composites are bonded. This plate model is experimentally validated for single and multiple inputs. While a single input excitation results in the frequency response functions and operational deflection shapes, two input excitations under prescribed conditions result in tailored traveling waves. The emphasis of this article is the application of projection-based model reduction techniques to scale-down the large-scale FE plate model. Four model reduction techniques are applied and their performances are studied. This article also discusses the stability issues associated with the rigid-body modes. Furthermore, the reduced-order models are utilized to simulate the steady-state frequency and time response of the plate. The results are in agreement with the experimental and the full-scale FE model results.

Multi-axis force sensing using a resonant composite piezoelectric plate: model and experiments

2015 ◽  
Vol 24 (5) ◽  
pp. 055019 ◽  
Author(s):  
Davinson Castaño-Cano ◽  
Mathieu Grossard ◽  
Arnaud Hubert
Keyword(s):  
Piezoelectric Plate ◽  
Force Sensing ◽  
Plate Model
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