تحليل ديسك دوار با مواد مدرج تابعي براساس مدل هدايت حرارتي غيرفوريه تحت ميدان الكترومغناطيس

Analysis of FGM Rotating Disk Based on Non-Fourier Heat Conduction Model under Electromagnetic Field

در اﯾﻦ ﻣﻘﺎﻟﻪ ﭘﺎﺳﺦ ﺗﺮﻣﻮﻣﻐﻨﺎﻃﯿﺲ دﯾﺴﮏ دوار ﺑﺎ ﻣﻮاد ﻣﺪرج ﺗﺎﺑﻌﯽ ﺑﺮاﺳﺎس ﻣﺪل ﻫﺪاﯾﺖ ﺣﺮارﺗﯽ ﻏﯿﺮﻓﻮرﯾﻪ ﺗﺤﺖ ﻣﯿﺪانﻫﺎي ﻣﻐﻨﺎﻃﯿﺴﯽ اﻟﮑﺘﺮﯾﮑﯽ ﺑﺮرﺳﯽ ﺷﺪه اﺳﺖ. در اﯾﻦ ﺑﺮرﺳﯽ ﻣﺪل ﻫﺪاﯾﺖ ﺣﺮارﺗﯽ ﻏﯿﺮﻓﻮرﯾﻪ ﺑﺮاﺳﺎس ﻣﺪل ﺗﺄﺧﯿﺮ زﻣﺎﻧﯽ دوﮔﺎﻧﻪ در ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪه اﺳﺖ. ﺧﺼﻮﺻﯿﺎت ﻣﮑﺎﻧﯿﮑﯽ دﯾﺴﮏ ﺑﻪ ﺻﻮرت ﺗﺎﺑﻊ ﺗﻮاﻧﯽ در راﺳﺘﺎي ﺷﻌﺎع در ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪه اﺳﺖ و ﻧﺘﺎﯾﺞ اﯾﻦ ﺑﺮرﺳﯽ ﺑﺮاي ﺷﺮاﯾﻂ ﻣﺮزي ﻣﺨﺘﻠﻒ ﺑﻪدﺳﺖ آﻣﺪه اﺳﺖ. در اﯾﻦ ﻣﻄﺎﻟﻌﻪ ﺗﺄﺛﯿﺮ ﺗﻐﯿﯿﺮات ﭘﺎراﻣﺘﺮﻫﺎي ﻣﺨﺘﻠﻒ ﺑﺮ رﻓﺘﺎر دﯾﺴﮏ دوار ﺑﺎ ﻣﻮاد ﻣﺪرج ﺗﺎﺑﻌﯽ ﻣﻮرد ﻣﻄﺎﻟﻌﻪ ﻗﺮار ﻣﯽﮔﯿﺮد. ﻧﺘﺎﯾﺞ ﻧﺸﺎن ﻣﯽدﻫﺪ ﮐﻪ ﺑﺎ اﻓﺰاﯾﺶ ﺿﺮﯾﺐ ﻧﺎﻫﻤﮕﻨﯽ ﻣﻮاد، ﺗﻐﯿﯿﺮات دﻣﺎﯾﯽ اﻓﺰاﯾﺶ ﻣﯽﯾﺎﺑﺪ؛ ﻫﻤﭽﻨﯿﻦ ﻣﺸﺎﻫﺪه ﮔﺮدﯾﺪ ﮐﻪ وﺟﻮد ﻣﯿﺪان ﻐﻨﺎﻃﯿﺴﯽ در دﯾﺴﮏ، ﻣﻮﺟﺐ ﮐﺎﻫﺶ ﺗﻐﯿﯿﺮ ﻣﮑﺎن و ﻫﻤﭽﻨﯿﻦ ﮐﺎﻫﺶ ﺗﻨﺶ و اﻓﺰاﯾﺶ ﺳﺨﺘﯽ ﺳﯿﺴﺘﻢ ﻣﯽﺷﻮد.

In this paper, the thermomagnetic response of rotating disk with functionally graded material (FGM) based on non-Fourier heat conduction model under electrical and magnetic fields is studied. In this study, non-Fourier heat conduction model were considered based on dual phase lag model. Mechanical properties of disk are assumed to follow an identical power law in the radial direction and the results of this analysis are obtained for different boundary conditions. In the present work, the effect of various parameters on the behavior of rotating disk with functionally graded material is investigated. The results show that temperature changes is increased with increases in the coefficient of heterogeneous. Also, it is obvious that imposing a magnetic field significantly decreases displacement and stresses and increases stiffness of system.