مجله علمی صوت و ارتعاش

مجله علمی صوت و ارتعاش

حل تحلیلی پاسخ سیستم جفت‌شده سازه‌ای-آکوستیکی یک محفظه مستطیلی با صفحه انعطاف‌پذیر و لایه ویسکوالاستیک

نوع مقاله : مقاله پژوهشی

نویسندگان
1 دانشجوی دکتری رشته مهندسی مکانیک دانشگاه صنعتی خواجه نصیر طوسی
2 استاد دانشکده مهندسی مکانیک دانشگاه صنعتی خواجه نصیر طوسی
چکیده
در این مقاله، مدل‌سازی تحلیلی و بررسی پاسخ یک سیستم جفت‌شده سازه‌ایآکوستیکی شامل یک فضای محصور آکوستیکی مستطیلی با دیواره انعطاف‌پذیر و لایه ویسکوالاستیک ارائه شده است. مدل‌سازی سیستم با استفاده از روش ریلی-ریتز[i] و چارچوب نظری جفت‌شدگی سازه-آکوستیک در شرایط جفت‌شدگی ضعیف[ii] انجام شده و پاسخ ارتعاشی دیواره انعطاف‌پذیر با در نظر گرفتن اثر میرایی ویسکوالاستیک محاسبه شده است. سپس پاسخ آکوستیکی داخل حفره از طریق حل رابطه موج و لحاظ برهم‌کنش سازهسیال تعیین شده است. به‌منظور بررسی اثر پارامترهای سازه‌ای و مواد میرایی‌زا، تغییر ضخامت دیواره انعطاف‌پذیر در سه مقدار مختلف (۳، ۵ و ۷ میلی‌متر) و همچنین افزودن لایه ویسکوالاستیک مورد مطالعه قرار گرفته است. نتایج نشان می‌دهد که ضخامت دیواره و خواص ویسکوالاستیک تأثیر قابل توجهی بر دامنه پاسخ‌های ارتعاشی و فشار صوتی داخل محفظه دارند و می‌توانند موجب کاهش مؤثر ارتعاش و نوفه داخلی شوند. در ادامه، نتایج تحلیلی با شبیه‌سازی اجزای محدود در نرم‌افزار انسیس[iii] مقایسه شده و همخوانی مناسبی بین آن‌ها مشاهده شده است که اعتبار مدل تحلیلی ارائه‌شده و قابلیت کاربرد آن در تحلیل و طراحی سیستم‌های کاهش ارتعاش و نوفه در محفظه‌های مهندسی را نشان می‌دهد. نوآوری اصلی این پژوهش، ارائه یک مدل تحلیلی است که قادر است سهم مستقل سختی خمشی صفحه و میرایی ویسکوالاستیک را در کاهش پاسخ آکوستیکی در بازه‌های فرکانسی مختلف کمّی کند. این مدل نشان می‌دهد که در فرکانس‌های پایین، اثر ضخامت صفحه کاملاً بر میرایی ویسکوالاستیک غالب است، در حالی که در فرکانس‌های بالا یک اثر هم‌افزا مشاهده می‌شود.



[i] Rayleigh-Ritz method


[ii] weak coupling


[iii] ANSYS
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Analytical Modeling and Vibroacoustic Analysis of a Coupled Structural–Acoustic Rectangular Cavity with a Viscoelastic Flexible Plate

نویسندگان English

Vahid Khoramirad 1
Aliasghar Jafari 2
1 PhD student in Mechanical Engineering, Khajeh Nasir Toosi University of Technology
2 Professor, Faculty of Mechanical Engineering, Khajeh Nasir Toosi University of Technology
چکیده English

This paper presents the analytical modeling and response analysis of a coupled structural-acoustic system comprising a rectangular enclosed acoustic cavity with a flexible wall and a viscoelastic layer. The system is modeled using the Rayleigh–Ritz method within the framework of structural-acoustic coupling under weak coupling conditions. The vibrational response of the flexible wall is calculated by incorporating viscoelastic damping effects, and the internal acoustic response is subsequently determined by solving the wave equation while accounting for structure–fluid interaction. To examine the influence of structural parameters and damping materials, the flexible wall thickness is varied at three levels (3, 5, and 7 mm), and the addition of a viscoelastic layer is investigated. Results indicate that wall thickness and viscoelastic properties significantly influence the vibration amplitude and internal sound pressure, effectively reducing both vibration and interior noise. The analytical results are validated against finite element simulations in ANSYS, showing good agreement and confirming the model's reliability for analyzing and designing noise and vibration reduction systems in engineering enclosures. The key novelty of this research lies in developing an analytical model that independently quantifies the contributions of plate bending stiffness and viscoelastic damping to acoustic response reduction across different frequency ranges. The model reveals that at low frequencies, the effect of plate thickness entirely dominates viscoelastic damping, whereas at high frequencies, a synergistic effect between the two is observed.

کلیدواژه‌ها English

Structural–acoustic coupling
Flexible panel
Viscoelastic layer
Analytical solution
Vibro-acoustic response
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