ارتعاشات آکوستیک پوسته استوانه‌ای FML ‌با استفاده از تئوری برشی مرتبه اول

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، مهندسی مکانیک / دانشگاه علم و صنعت ایران، تهران

2 عضو هیات علمی / دانشکده مهندسی مکانیک، دانشگاه علم و صنعت ایران، تهران

چکیده

در این مقاله تلاش شده است با استفاده از روشی تحلیلی، افت انتقال صوت در پوسته‌های استوانه‌ای FML بررسی گردد. برای این منظور پوسته استوانه‌ای بلند از جنس FML، در معرض یک موج صوتی صفحه‌ای مایل قرار گرفته که در نتیجه آن انعکاس و انتقال موج ایجاد گشته است. همچنین پوسته در معرض یک جریان یکنواخت متحرک در سیال خارجی و داخلی قرار گرفته است. با توجه به نقش مؤثر روابط برشی در بررسی افت انتقال صوت بخصوص در فرکانس‌های بالا، برای یافتن معادلات ارتعاشی پوسته از تئوری تغییر شکل‌ برشی مرتبه اول (FSDT ) استفاده می‌شود. معادلات حرکت پوسته از طریق اصل دالامبر به‌دست‌آمده و با اعمال فشارهای آکوستیکی و شرایط مرزی و استفاده از توابع سری‌های بینهایت که با استفاده از الگوریتمی خاص همگرا می‌شوند، معادلات ارتعاشی پوسته و روابط آکوستیک به‌طور هم‌زمان حل می‌گردند. مقادیر افت انتقال صوت حاصل از حل عددی با نتایج سایر محققین مقایسه می‌گردد. در این مقاله نشان داده می‌شود که استفاده از استوانه‌ی FML به جای استوانه‌ی کامپوزیتی، فرکانس انطباقی را 18 درصد افزایش می‌دهد. همچنین در ناحیه جرم کنترل افت انتقال صوت نیز می‌تواند تا 9 درصد افزایش یابد. مشاهده می‌گردد که با کسر حجمی ثابت فلز، قرار دادن لایه‌های آلومینیومی در فواصل دورتر از تار خنثی فرکانس رینگ و انطباقی به ترتیب، 4/11 و 7/18 درصد تغییر می‌کنند. همچنین نتایج نشان می‌دهند که با افزایش 20 درصدی کسر حجمی فلز، در یک فرکانس مشخص می‌توان تا 28 درصد افت انتقال صوت را افزایش داد.

کلیدواژه‌ها

عنوان مقاله [English]

Vibro-acoustic analysis of fiber metal laminate cylindrical shell using first order shear deformation theory

نویسندگان [English]

  • mohammad sadegh fayez 1
  • Ali Tarkashvand 1
  • Kamran Daneshjou 2
1 mechanical engineering department,, Iran university of science and technology, Tehran , Iran
2 School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
چکیده [English]

In this research, using analytical method, sound transmission loss in fiber metal laminate (FML) composite cylinder is studied. For this purpose, an infinitely long cylindrical shell composed of FML is subjected to an oblique plane wave. considering the effects of shear forces in the sound transmission loss, specifically at the higher frequencies, the FSDT theory is used to solve the governing equation of the motion. The equation of motion of the shell are obtained by D'Alembert principle. The equations are solved simultaneously using acoustic pressures, boundary conditions and infinite series that converged with a special algorithm, shell equations and acoustic relations. The values of sound transmission loss from numerical solution are validated with other researchers. This study shows that using FML cylinder instead of composite cylinder, the coincidence frequency increases 18 percent. Also in mass control region transmission loss increases 9 percent. It is demonstrated that with constant volume fraction of metal, locating aluminum lamina in farther distance from neutral axis, ring and coincidence frequency changes 11.4 and 18.7 respectively. In addition, results indicate that by increasing of 20 percent of metal volume fraction (MVF), in a specified frequency, transmission loss can be increased 28 percent.

کلیدواژه‌ها [English]

  • Cylindrical shell
  • FML
  • first order shear deformation theory
  • sound transmission

مراجع

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