بررسی فرکانس طبیعی و ضریب میرایی تیر ساندویچی متشکل از هسته ویسکوالاستیک و رویه‌های نانو کامپوزیتی

تیموری, هادی; نادری, علی اصغر

doi:10.47176/MAJ.2025.1531

بررسی فرکانس طبیعی و ضریب میرایی تیر ساندویچی متشکل از هسته ویسکوالاستیک و رویه‌های نانو کامپوزیتی

نوع مقاله : مکانیک جامدات

نویسندگان

هادی تیموری ¹

علی اصغر نادری ²

¹ دانشجوی دکتری، دانشگاه تبریز، تبریز، ایران

² دانشیار، دانشگاه افسری امام علی، تهران، ایران

10.47176/MAJ.2025.1531

چکیده

در این پژوهش، ارتعاشات آزاد تیر ساندویچی با هسته ویسکوالاستیک و رویه‌های پلیمری تقویت‌شده با نانولوله‌های کربنی، تحت شرایط تکیه‌گاه ساده و با بهره‌گیری از تئوری سه‌لایه‌ای تیر ساندویچی مورد بررسی قرار گرفته است. با توجه به کاربرد اساسی سازه‌های ساندویچی با هسته ویسکوالاستیک در صنایع مهمی هم‌چون صنایع نظامی و هوافضا، به‌منظور کاهش ارتعاشات و کنترل نویز از اهمیت بسزایی برخوردار می‌باشند. برای مدل‌سازی هسته ویسکوالاستیک از مدل کلوین-ویت استفاده شده است و هم‌چنین با استفاده از تئوری یاد شده و اصل همیلتون معادلات حاکم بر سازه ساندویچی به‌دست می‌آید. معادلات به‌دست آمده به صورت معادلات دیفرانسیل با مشتقات جزئی می‌باشند که برای حل این معادلات حرکت، از روش‌ تحلیلی ناویر در حوزه‌ی مکان استفاده شده است. به‌منظور صحت و دقت نتایج عددی به‌دست آمده، یک رویکرد مقایسه‌ای با مقالات معتبر ارائه شده است. در انتها بررسی اثر پارامترهای مختلف مادی و هندسی بر روی فرکانس طبیعی سیستم پرداخته شده است. نتایج نشان می‌دهند که با افزایش ضریب اتلاف سازه، استهلاک تیر ساندویچی نیز افزایش پیدا می‌کند، در نتیجه فرکانس طبیعی سیستم کاهش پیدا می‌کند.

چکیده تصویری

بررسی فرکانس طبیعی و ضریب میرایی تیر ساندویچی متشکل از هسته ویسکوالاستیک و رویه‌های نانو کامپوزیتی

کلیدواژه‌ها

تیر ساندویچی هسته ویسکوالاستیک نانوکامپوزیت تئوری سه لایه تیر ساندویچی مدل کلوین

ویت

موضوعات

دینامیک ارتعاشات و کنترل

عنوان مقاله English

Investigation of the Natural Frequency and Damping Coefficient of the Sandwich Beam Consisting of a Viscoelastic Core and Nanocomposite Face-Sheets

نویسندگان English

Hadi Teymouri ¹

Aliasghar Naderi ²

¹ PhD Student, University of Tabriz, Tabriz, Iran

² Associate Professor, Imam Ali Military University, Tehran, Iran

چکیده English

In this research, the free vibrations of a sandwich beam with a viscoelastic core and carbon nanotube-reinforced polymer face sheets, under simply supported boundary conditions and using the three-layer sandwich beam theory, have been investigated. Given the fundamental application of sandwich structures with viscoelastic cores in critical industries such as military and aerospace, they are of significant importance for vibration reduction and noise control. The Kelvin-Voigt model has been used to model the viscoelastic core, and using the aforementioned theory and Hamilton's principle, the governing equations of the sandwich structure are derived. The obtained equations are in the form of partial differential equations, and to solve these equations of motion, the analytical Navier method in the spatial domain has been employed. To ensure the validity and accuracy of the numerical results, a comparative approach with reputable published articles has been presented. Finally, the effects of various material and geometric parameters on the natural frequency of the system have been examined. The results indicate that as the structural loss factor increases, the damping of the sandwich beam also increases, consequently reducing the natural frequency of the system

کلیدواژه‌ها English

Sandwich Beam Viscoelastic Core Nanocomposite Three

layer Sandwich Beam Theory Kelvin

Voigt Model

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