مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

تحلیل ارتعاشاتی تیرهای ساندویچی دوار با ضخامت متغیر و هسته‌ی آگزتیک دارای رویه‌های فلزی

نوع مقاله : مقاله پژوهشی

نویسندگان
زهرا خدامی مرقی
احسان آرشید
گروه مهندسی مکانیک، دانشکده مهندسی، مرکز آموزش عالی محلات، محلات، ایران
10.48311/mme.2026.118587.82921
چکیده
پژوهش حاضر به تحلیل دینامیکی تیرهای ساندویچی دوار با ضخامت متغیر می‌پردازد که از یک هسته‌ی آگزتیک (اکستنشنال یا الاستومر با میرایی بالا) و رویه‌های فلزی تشکیل شده‌اند. این ساختارها به‌طور فزاینده‌ای در صنایع هوافضا، خودروسازی و ابزارهای دوار پیشرفته مورد استفاده قرار می‌گیرند.مدل‌سازی با بهره‌گیری از تئوری تغییر شکل برشی مرتبه بالا انجام شده و معادلات حاکم با استفاده از اصل همیلتون استخراج و به روش مربعات تفاضلی تعمیم‌یافته حل شده‌اند. نتایج عددی نشان دادند که افزایش سرعت زاویه‌ای منجر به افزایش چشمگیر فرکانس طبیعی به‌واسطه پدیده سفت‌شوندگی گریز از مرکز می‌شود، در حالی‌که افزایش پارامتر باریک‌شدگی موجب کاهش فرکانس به‌دلیل کاهش سختی خمشی سازه است. همچنین، افزایش نسبت ابعاد سلول‌های آگزتیک و کاهش زاویه انحنای سلول‌ها منجر به افزایش محسوس فرکانس طبیعی شده است. انتخاب فلزات مختلف برای پوسته‌ها نیز تأثیر قابل‌توجهی در پاسخ ارتعاشی داشته، به‌طوری‌که استفاده از فولاد موجب بیشترین افزایش در فرکانس طبیعی گردید. این یافته‌ها نه‌تنها به درک عمیق‌تری از رفتار ارتعاشی سازه‌های آگزتیک در شرایط دوار کمک می‌کنند، بلکه مسیر طراحی سامانه‌های پیشرفته در صنایع مورد اشاره را هموار می‌سازند.
کلیدواژه‌ها
ساختارهای آگزتیک
تحلیل دینامیکی
تیر ساندویچی ضخامت متغیر
سازه‌های دوار

موضوعات

عنوان مقاله English

Vibrational Analysis of Rotating Sandwich Beams with Variable Thickness and An Auxetic Core with Metallic Facesheets

نویسندگان English

Zahra Khoddami Maraghi
Ehsan Arshid
Mechanical Engineering Department, Faculty of Engineering, Mahallat Institute of Higher Education, Mahallat, Iran.
چکیده English

The present study investigates the dynamic behavior of rotating sandwich beams with variable thickness, consisting of an auxetic core (either extensional or high-damping elastomeric) and metallic face sheets. Such structures are increasingly employed in aerospace, automotive, and advanced rotating tool applications. The modeling is carried out using higher-order shear deformation theory, and the governing equations are derived via Hamilton’s principle and solved using the generalized differential quadrature method. Numerical results indicate that increasing the angular velocity leads to a pronounced rise in natural frequencies due to the centrifugal stiffening effect, whereas increasing the tapering parameter results in a reduction of the frequencies owing to the decrease in bending stiffness. In addition, increasing the aspect ratio of the auxetic cell dimensions and decreasing the cell re-entrant angle significantly enhance the natural frequencies. The choice of different metals for the face sheets also has a notable influence on the vibrational response, with steel providing the greatest increase in natural frequency. These findings not only contribute to a deeper understanding of the vibrational behavior of auxetic structures under rotational conditions, but also facilitate the design of advanced systems in the aforementioned industries.

کلیدواژه‌ها English

Auxetic structures
Dynamic analysis
Variable-thickness sandwich beams
Rotating structures
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مهندسی مکانیک مدرس
دوره 26، شماره 5
اردیبهشت 1405
صفحه 325-344