VIBRATIONAL ANALYSIS FOR AN AXIALLY MOVING MICROBEAM WITH TWO TEMPERATURES

被引:51
作者
Carrera, E. [1 ,4 ]
Abouelregal, A. E. [2 ,5 ]
Abbas, I. A. [3 ,6 ]
Zenkour, A. M. [4 ,7 ]
机构
[1] Politecn Torino, Mech & Aerosp Dept, Turin, Italy
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] King Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
[4] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
[5] Univ Aljouf, Coll Arts & Sci, Dept Math, El Qurayat, Saudi Arabia
[6] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[7] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafr Al Sheikh, Egypt
关键词
Moving microbeams; Ramp-type heating; Thermoelasticity; Two temperatures; 2-TEMPERATURE GENERALIZED THERMOELASTICITY; PHASE-LAG MODEL; WAVE-PROPAGATION; HEAT; CAVITY; SPACE; BEAM;
D O I
10.1080/01495739.2015.1015837
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this article, the effect of two temperatures on an axially moving microbeam subjected to ramp-type heating is studied. The generalized thermoelasticity theory with one relaxation time model is used. The governing equations are expressed in Laplace transform domain. Based on Fourier series expansion technique, the inversion of Laplace transform is done numerically. Some comparisons have been shown in figures to present the effect of the temperature discrepancy and the transport speed on all the studied field quantities. Additional results across the thickness of the microbeam are presented graphically.
引用
收藏
页码:569 / 590
页数:22
相关论文
共 26 条
[1]   Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity [J].
Abbas, Ibrahim A. ;
Abd-alla, Abo-el-nour N. .
ARCHIVE OF APPLIED MECHANICS, 2008, 78 (04) :283-293
[2]   Dual-Phase-Lag Model on Thermoelastic Interactions in a Semi-Infinite Medium Subjected to a Ramp-Type Heating [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (03) :642-645
[3]   Two-Temperature Generalized Thermoelastic Interaction in an Infinite Fiber-Reinforced Anisotropic Plate Containing a Circular Cavity with Two Relaxation Times [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (01) :1-7
[4]   Two-temperature generalized thermoelasticity under ramp-type heating by finite element method [J].
Abbas, Ibrahim A. ;
Youssef, Hamdy M. .
MECCANICA, 2013, 48 (02) :331-339
[5]   Thermal vibrational analysis for simply supported beam and clamped beam [J].
Avsec, Jurij ;
Oblak, Maks .
JOURNAL OF SOUND AND VIBRATION, 2007, 308 (3-5) :514-525
[6]   THERMOELASTICITY AND IRREVERSIBLE THERMODYNAMICS [J].
BIOT, MA .
JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :240-253
[7]   Wave propagation in and vibration of a travelling beam with and without non-linear effects, part I: Free vibration [J].
Chakraborty, G ;
Mallik, AK .
JOURNAL OF SOUND AND VIBRATION, 2000, 236 (02) :277-290
[8]   THERMOMECHANICALLY COUPLED NONLINEAR VIBRATION OF PLATES [J].
CHANG, WP ;
WAN, SM .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1986, 21 (05) :375-389
[9]  
CHEN LQ, 2001, ADV MECH, V31, P535
[10]   ON THERMODYNAMICS OF NON-SIMPLE ELASTIC MATERIALS WITH 2 TEMPERATURES [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1969, 20 (01) :107-&