تحلیل تنش‌های مکانیکی-حرارتی در دیسک‌های دوار با ضخامت و خواص متغیر در راستای شعاعی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده مهندسی مکانیک، دانشگاه کاشان، کاشان، ایران

2 گروه مکانیک، واحد خمینی شهر، دانشگاه آزاد اسلامی، خمینی شهر، اصفهان، ایران

چکیده

چکیده: در این پژوهش ابتدا معادلات حاکم بر توزیع دما و تحلیل تنش‌های مکانیکی و حرارتی در یک دیسک دوار با ضخامت و خواص متغیر در راستای شعاعی استخراج می‌شوند. تمامی خواص مکانیکی و حرارتی ماده بر اساس یک تابع توانی تغییر می‌کنند بطوریکه که کسر حجمی ماده در راستای شعاعی بین دو مقدار دلخواه تغییر می‌کند. در استخراج معادلات حرارت، انتقال حرارت همرفتی از طریق سطوح دو طرف دیسک نیز در نظر گرفته می‌شوند و شرایط مرزی حرارتی دیسک به شکل شرایط دما ثابت در لبه‌ی داخلی و انتقال حرارت همرفتی در لبه‌ی خارجی دیسک در نظر گرفته می‌شود. تغییرات ضریب انتقال حرارت همرفتی در راستای شعاعی و وابستگی آن به سرعت زاوی‌های دیسک نیز در نظر گرفته شده‌اند. با توجه به پیچیدگی‌های موجود در معادلات، از روش تفاضلات مربعی برای حل تمامی معادلات استفاده شده و توزیع دما و مولفه‌های تنش و جابجایی در دیسک بدست خواهند آمد. در نهایت تاثیر چگونگی تغییرات ضخامت و خواص ماده در راستای شعاعی بر روی توزیع دما، تنش و جابجایی در دیسک بررسی می‌گردد. در نهایت با استفاده از مدل تامورا-توموتا-اوزاوا و از طریق مقایسه‌ی تنش‌ها با مقادیر مجاز بدست آمده، تسلیم یا عدم تسلیم در نقاط مختلف دیسک بررسی می‌گردد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Thermo-Mechanical Stress Analysis in a Rotating Radially Graded FG-Disc with Non-Uniform Thickness

نویسندگان [English]

  • K. Torabi 1
  • H. Afshari 2
1 1Mechanical Engineering Department, niversity of Kashan, Kashan, Iran
2 Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran
چکیده [English]

In this paper, according to one-dimensional heat transfer rules and two-dimensional elasticity theory, the set of governing equation on temperature and thermo-mechanical stresses in a rotating radially graded FG-disc with non-uniform thickness are derived. All mechanical and thermal properties of the material including elastic modulus, Poisson’s ratio, density and thermal conductivity and expansion coefficients are considered to be graded radially according to a power law function; The volume fraction changes in radial direction between two desired values. In thermal analysis, convention heat transfer through two sides of the disc are considered and thermal boundary conditions are considered as constant temperature at inner edge and convention heat transfer at outer one. In order to increase the accuracy of analysis, variation of convective heat transfer coefficient in radial direction and its dependency on the rotating speed are considered. Considering complexity in equations, differential quadrature method (DQM) is used as strong approach and both thermal and mechanical equations are solved numerically. Effect of various parameters such as rotating speed, variation of thickness and power law index on the distribution of temperature, stress and deflection of the disc are investigated. Also, based on the Tamura-Tomota-Ozawa model (TTO), yield strength of the disc is derived and its elastic and plastic parts are detected.

کلیدواژه‌ها [English]

  • Thermo-mechanical analysis
  • Rotating disc
  • Functionally graded materials
  • Tamura-Tomota-Ozawa model
  • Differential quadrature method

مراجع

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نشریه مهندسی مکانیک امیرکبیر
دوره 50، شماره 1
فروردین و اردیبهشت 1397
صفحه 33-46

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