تحلیل گذرا و ارتعاشات آزاد پوسته مخروطی ناقص مدرج تابعی در معرض فشار متحرک

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه مهندسی مکانیک، واحد مرودشت، دانشگاه آزاد اسلامی، مرودشت، ایران

2 هیات علمی-دانشگاه صنعتی شیراز

3 گروه مهندسی مکانیک، دانشگاه فردوسی مشهد، مشهد، ایران

چکیده

در این مقاله روشی کارآمد و دقیق برای تحلیل گذرا و ارتعاشات آزاد پوسته مخروطی ناقص مدرج تابعی در معرض فشار متحرک متقارن داخلی و خارجی توسعه داده شده است. خواص مواد پوسته دارای تغییرات پیوسته در جهت شعاعی است و از مدل‌های موری-تاناکا و کسر حجمی قانون توزیع توانی پیروی می‌کند. برای بررسی این مساله روشی حل عددی که ترکیبی از روش‌های تئوری لایه‌ای، روش مربعات دیفرانسیلی و بسط سری فوریه است بکار گرفته شد. از بسط سری فوریه برای مدل‌سازی تغییرات جابجایی و فشار دینامیکی در جهت محوری استفاده می‌شود. سپس با بکارگیری تئوری لایه‌ای در راستای ضخامت و اعمال آن در اصل هامیلتون‌، معادلات حرکت و شرایط مرزی تعیین گردید. در آخر از روش مربعات دیفرانسیلی جهت مدل‌سازی تغییرات جابجایی در معادلات حاکم در دامنه زمانی استفاده گردید. این تحقیق دارای نتایج مفیدی جهت طراحی پوسته‌های مدرج تابعی در معرض فشار متحرک می‌باشد. نتایج بدست آمده از این مدل‌سازی به‌صورت موفقیت‌آمیزی با نتایج مشابه موجود در مقالات مورد مقایسه قرار گرفت. مطالعه روند همگرایی، سرعت بالای همگرایی این روش را اثبات نمود. نتایج بدست آمده بیانگر این است که تحریک ناشی از عبور فشار متحرک در پوسته موجب ایجاد ارتعاشات آزاد با دامنه ارتعاشی قابل توجه‌ی می‌شود.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Transient Analysis and Free Vibration of Functionally Graded Truncated Conical Shells Subjected to Moving Pressure

نویسندگان [English]

  • Ehsan Selahi 1
  • Ali Reza Setoodeh 2
  • Masoud Tahani 3
1 Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
2 Professor/Shiraz University of Technology
3 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
چکیده [English]

In this paper, an efficient and accurate solution method is developed for transient analysis and free vibration of functionally graded truncated conical shell, subjected to symmetric internal or external moving pressure. The material properties of the shell are graded continuously in the radial direction according to a Mori-Tanaka and volume fraction power-law distribution. A hybrid solution method composed of the layerwise theory, differential quadrature method and Fourier series expansion is employed to investigate the aforementioned problem. A Fourier series expansion is used for the displacement components and dynamic pressure in the axial direction. Then the layerwise theory across the thickness direction in conjunction with Hamilton’s principle is employed to obtain equations of motion and boundary conditions. Eventually, the differential quadrature method is implemented to discretize the governing equations in the time domain. This research shows some interesting results that can be helpful for the design of functionally graded shells subjected to moving pressure. The developed results are successfully compared with the available results in the literature. The convergence study demonstrates the fast convergence rate with a relatively low computational cost. The results reveal that a free vibration with significant amplitude is generated due to excitation from the transition of the moving pressure.
 

کلیدواژه‌ها [English]

  • Functionally graded materials
  • Conical shell
  • Moving pressure
  • Differential quadrature method
  • Layerwise theory

مراجع

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نشریه مهندسی مکانیک امیرکبیر
دوره 53، شماره 2
اردیبهشت 1400
صفحه 897-912

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