افت انتقال صوت در یک پوسته استوانه‌ای ساخته شده از مواد مدرج تابعی با وصله‌های پیزوالکتریک

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان

1 نویسنده مسئول: دانشیار، گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

2 دانشجوی دکتری، گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

3 استاد، گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین(ع)، تهران، ایران

چکیده

در این پژوهش، به بررسی افت انتقال صوت در یک پوسته استوانه‌ای ساخته شده از مواد مدرج تابعی همراه با وصله‌های پیزوالکتریک با استفاده از نظریه میدان جابجایی برشی مرتبه اول پرداخته شده است. همچنین فرض شده است که پوسته استوانه‌ای ساخته شده از مواد مدرج تابعی ترکیبی از سرامیک و فلز باشد و به‌وسیله مدل تابع توانی، خواص مواد در جهت ضخامت آن متغیر در نظر گرفته شده است. قابل‌ذکر است که از وصله‌های پیزوالکتریک در بیرون و داخل پوسته به‌عنوان عملگر و سنسور استفاده شده است. کل سازه در یک محیط آکوستیکی حاوی هوا غوطه‌ور است و تحت برخورد امواج آکوستیکی با زاویه برخورد مشخص قرار گرفته است. معادلات دینامیکی سازه با استفاده از فرضیه میدان جابجایی برشی مرتبه اول پوسته‌ها، اصل همیلتون و شرایط مرزی سیال/سازه استخراج شده‌اند. با استفاده از سری فوریه، فشار‌های صوت برخوردی، برگشتی و خروجی و جابجایی‌های پوسته، معادلات دینامیکی گسسته‌سازی شده و به فرم ماتریس حالت ارائه شده‌اند. بعد از اعتبارسنجی نتایج، نهایتاً اثرات ولتاژ اعمالی از طرف وصله‌های پیزوالکتریک، درصد مواد مدرج تابعی، تعداد وصله‌های پیزوالکتریک، زاویه برخورد بر رفتار افت انتقال صوت سازه در محدوده فرکانسی مشخصی مورد ارزیابی قرار می‌گیرد. نتایج نشان داد که با افزایش پارامتر ایندکس تابع توانی افت انتقال صوت در محدوده فرکانس پایین کاهش می‌یابد. همچنین ولتاژ اعمالی قادر به بهبود افت انتقال صوت در سازه خصوصاً در نواحی فرکانس بالا بوده است.

کلیدواژه‌ها


عنوان مقاله [English]

Sound Transmission Loss of a Sandwich Cylindrical Shell with Piezoelectric Patches and Functionally Graded Materials Core

نویسندگان [English]

  • Mohammad Reza Elhami 1
  • Hossein Azarion 2
  • Khodadad Vahedi 3
1 Corresponding author: Associate Professor, Department of Mechanical Engineering, Faculty of Technology and Engineering, Imam Hossein University, Tehran, Iran
2 Doctoral student, Department of Mechanical Engineering, Faculty of Technology and Engineering, Imam Hossein University, Tehran, Iran
3 Professor, Department of Mechanical Engineering, Faculty of Engineering, Imam Hossein University, Tehran, Iran
چکیده [English]

In this study, sound transmission loss of a cylindrical shell made out of functionally graded materials with an arrangement of piezoelectric patches is investigated in the framework of the first-order shear deformation theory. Also, power law model is utilized to take into account material characteristics distribution along the thickness of the shell. It is noteworthy that both outer and inner piezoelectric patches are used as actuator and sensor. The structure is immersed in an acoustic medium of air and is subjected to acoustic waves with certain incident angle. The derivation of vibroacoustic equations in the form of coupled relations is realized by implementing Hamilton’s principle in conjunction with fluid/structure compatibility conditions. An analytical method is exploited to solve the coupled vibroacoustic governing equations with Fourier series. After validation study, parameter studies reveal the effects of the functionally graded index, incident angles, external electric voltage, and characteristics of piezoelectric patches on the sound transmission loss behavior of the structure in a certain frequency domain. Results indicated that with increasing the power law index, sound transmission loss decreases in the low-frequency region. Also, the applied voltage is able to improve the sound transmission loss especially in high-frequency region.

کلیدواژه‌ها [English]

  • Sound transmission loss
  • Cylindrical shells
  • Functionally graded materials
  • Piezoelectric
  • First-order shear deformation Theory

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دوره 18، شماره 1 - شماره پیاپی 67
شماره پیاپی 67، فصلنامه بهار
خرداد 1401
صفحه 91-103
  • تاریخ دریافت: 08 تیر 1400
  • تاریخ بازنگری: 12 مرداد 1400
  • تاریخ پذیرش: 11 دی 1400
  • تاریخ انتشار: 01 اردیبهشت 1401