Thermal vibrational analysis for simply supported beam and clamped beam

被引:57
作者
Avsec, Jurij [1 ]
Oblak, Maks [1 ]
机构
[1] Univ Maribor, Fac Mech Engn, Maribor 2000, Slovenia
关键词
D O I
10.1016/j.jsv.2007.04.002
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The presented paper shows how the temperature field in beams has impact on vibrations of beams. Due to the relatively high possible temperature variations in beams we have developed the mathematical model where fundamental thermomechanical properties of state are functions of temperature such as modulus of elasticity, Poisson number, linear expansion coefficient, shear modulus and some other important thermodynamic properties of state. The detailed analysis shows, that also small changes of temperature cause significant changes of natural frequencies for beams. The comparison between our analytical model and experimental data shows good agreement. In the presented paper it is possible to find for the first time in scientific literature the application of the combination of statistical thermodynamics and the theory of vibration at the same time. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:514 / 525
页数:12
相关论文
共 25 条
[1]   Calculation of elastic modulus and other thermophysical properties for molecular crystals [J].
Avsec, J ;
Marcic, M .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2002, 16 (03) :463-468
[2]  
AVSEC J, 2006, 1 ICOVIS C LOUGHB EN
[3]  
BOLEY BA, 1966, THEORY THERMAL STRES
[4]  
Borg R. J., 1992, PHYS CHEM SOLIDS
[5]  
Borgnakke C., 1997, THERMODYNAMIC TRANSP
[6]  
DEHOFF RT, 1909, THERMODYNAMICS MAT S
[7]  
DONOUN A, 1994, PHYSICAL REV E, V50, P2913
[8]  
Garrod C, 1995, Statistical mechanics and thermodynamics, VPC
[9]  
Gokcen N.A., 1986, STAT THERMODYNAMICS
[10]  
HERNANDEZ GE, 1998, J PHYS CHEM SOLIDS, V59, P867