4.7 Article

Stochastic thermal modal characteristics of a plate with free boundary conditions induced by a random heating position based on a thermally coupled model

Journal

JOURNAL OF SOUND AND VIBRATION
Volume 552, Issue -, Pages -

Publisher

ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2023.117581

Keywords

Thermally coupled dynamic model; Stochastic thermal modal analysis; Dynamic characteristics at high temperature; Small sample estimation

Ask authors/readers for more resources

Temperature greatly affects the thermal modal characteristics of a structure, and the uncertainty in its distribution makes these characteristics even more complicated. This uncertainty also leads to significant deviations between predicted and experimental results, and even differences in the trends with temperature. This study investigates the stochastic thermal modal characteristics of a plate with free boundary conditions caused by random heating positions, and proposes a statistical analysis method with a small sample based on an improved Bootstrap method and folded normal distribution. The research is of great significance for reliability evaluation of thermodynamic experimental results and error analysis between experimental and theoretical results.
Temperature has significant effects on thermal modal characteristics of a structure; especially, its distribution uncertainty makes thermal modal characteristics to be more complicated. Such un-certainty also makes definitely predicted results greatly deviate from thermal modal experimental results at high temperature, and even their change trends with temperature would be different. In this work, stochastic thermal modal characteristics of a plate with free boundary conditions induced by a random heating position are studied based on a thermally coupled model. Tem-perature field distributions of the plate under two-parameter Gaussian heating sources are first obtained. A thermally coupled dynamic model of the plate is then established based on a ther-mally coupled constitutive relation theory, and its modal parameters are obtained by a differ-ential quadrature method. A statistical analysis method with a small sample based on an improved Bootstrap method and folded normal distribution is proposed to study stochastic thermal modal characteristics of the plate induced by a random heating position, which includes probability density functions of natural frequencies and their confidence intervals. Relevant research will be of great significance to reliability evaluation of thermodynamic experimental results, and error analysis between experimental and theoretical results.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available