مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

تحلیل ترموالاستیک رفتار خزشی وابسته به زمان در استوانه جدار ضخیم چرخان از جنس مواد مگنتوالکتروالاستیک

نوع مقاله : پژوهشی اصیل

نویسنده
گروه مهندسی مکانیک، دانشکده مهندسی، دانشگاه قم، قم، ایران
چکیده
در این مقاله به ارائه یک حل تحلیلی برای بررسی رفتار خزشی وابسته به زمان استوانه جدار ضخیم چرخان از مواد مگنتوالکتروالاستیک پرداخته شده است. ابتدا معادله دیفرانسیلی شامل کرنش‌های خزشی با استفاده از روابط تنش- کرنش، کرنش- جابجایی، معادله تعادل و حل معادله حرارت در حالت کرنش صفحه‌ای به دست می‌آید. در گام نخست با حذف کرنش‌های خزشی، یک حل تحلیلی برای معادله دیفرانسیل مذکور به­صورت تحلیلی به دست می‌آید که در واقع پاسخ زمان صفر (ابتدایی) است. سپس با اضافه­کردن کرنش‌های خزشی و با فرض ثابت­بودن شرایط حرارتی، نرخ تنش‌های خزشی و میدان‌های‌ الکتریکی و مغناطیسی با حل یک معادله دیفرانسیل به دست می‌آیند. در نهایت می‌توان تنش‌های شعاعی و محیطی، جابجایی شعاعی و میدان‌های الکتریکی و مغناطیسی را با استفاده از یک روش تکرارشونده برای هر زمان دلخواه محاسبه کرد. در پایان تاثیر گذشت زمان بر رفتار سازه و پارامترهای موثر همچون شرایط مرزی حرارتی، سرعت چرخش و شرایط مرزی الکترومغناطیسی در مثال‌های عددی به تفصیل بررسی شده‌اند.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Thermoelastic Time-Dependent Creep Analysis of a Rotating Thick-Walled Cylinder Made of Magneto-Electro-Elastic Materials

نویسنده English

M. Saadatfar
Mechanical Engineering Department, Engineering Faculty, University of Qom, Qom, Iran
چکیده English

An analytical solution for the problem of time-dependent stress redistribution of a piezomagnetic rotating hollow cylinder subjected to an axisymmetric thermo-magneto-electro-mechanical loading is derived for the condition of plane strain. A differential equation containing creep strains is found using the constitutive equations, equilibrium equation and solving heat equation in plate strain. In the first step, eliminating creep strains in the differential equation, an analytical solution for the differential equation is obtained. Then, by adding creep strains and assuming constant thermal conditions, the creep stress rates and electric and magnetic potential are obtained using solving a differential equation. Lastly, the history of stresses, radial displacement, magnetic potential, and electric potential during the time can be obtained using an iterative method. In the numerical examples, the effects of time passing on the structure behavior and the effective parameters such as thermal boundary condition, angular velocity, and electromagnetic boundary condition were investigated comprehensively.

کلیدواژه‌ها English

Rotating Cylinder
Magneto-Electro-Elastic
Thermoelastic Analysis
Time-Dependent Creep
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