Physics – Condensed Matter – Materials Science
Scientific paper
2005-04-17
J. Thermal Stresses, 29(2), 169 -195, 2006.
Physics
Condensed Matter
Materials Science
2 figures, 1 table
Scientific paper
10.1080/01495730500257482
Four distinct theories describing the flexural motion of thermoelastic thin plates are compared. The theories are due to Chadwick, Lagnese and Lions, Simmonds, and Norris. Chadwick's theory requires a 3D spatial equation for the temperature but is considered the most accurate as the others are derivable from it by different approximations. Attention is given to the damping of flexural waves. Analytical and quantitative comparisons indicate that the Lagnese and Lions model with a 2D temperature equation captures the essential features of the thermoelastic damping, but contains systematic inaccuracies. These are attributable to the approximation for the first moment of the temperature used in deriving the Lagnese and Lions equation. Simmonds' model with an explicit formula for temperature in terms of plate deflection is the simplest of all but is accurate only at low frequency, where the damping is linearly proportional to the frequency. It is shown that the Norris model, which is almost as simple as Simmond's, is as accurate as the more precise but involved theory of Chadwick.
No associations
LandOfFree
Dynamics of thermoelastic thin plates: A comparison of four theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamics of thermoelastic thin plates: A comparison of four theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of thermoelastic thin plates: A comparison of four theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-401544