Fluid-structure Interaction Vibration Analysis of Vertical Cylindrical Containers with Elastic Bottom Plate Made of Functionally Graded Materials
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
علی اکبر شفیعی
1
(کارشناسی ارشد، دانشکده مهندسی مکانیک، دانشگاه شیراز، شیراز، ایران)
مجتبی محزون
2
(دانشیار، دانشکده مهندسی مکانیک، دانشگاه شیراز، شیراز، ایران.)
احسان عسکری
3
(دانشجوی دکتری، دانشکده مهندسی پزشکی، دانشگاه مک کووری، سیدنی، استرالیا)
کلید واژه: Free vibration, Functionally Graded Materials, Liquid–structure interaction, Rayleigh–Ritz method, Eigen function expansion,
چکیده مقاله :
In the present paper a method is proposed to investigate the free vibration of a partially liquid-filled cylindrical tank. The mechanical properties of the container are assumed to change continuously along the thickness according to volume fraction Power-law, Sigmoid or Exponential distribution. The liquid is supposed to be incompressible and in viscid and its velocity potential is formulated by using Eigen function expansions. The interaction between the liquid and the plate was considered and the dynamic characteristics of the plate are extracted by using the Rayleigh–Ritz method. The results from the proposed method are in good agreement with experimental and numerical solutions available in the literature. A finite element analysis is also applied to check the validity of the results. Furthermore, the influence of various variables such as the number of nodal circles and diameters, volume fractions of functionally graded materials and liquid level on the dynamic behavior of the coupled system is investigated.
در این مقاله یک روش نیمهتحلیلی برای بررسی مسئله ارتعاش آزاد یک مخزن با جداره استوانهای صلب و کف انعطافپذیر از جنس مواد مدرج تابعی حاوی سیال ارائه شده است. خصوصیات مواد، مطابق یک تابع توانی، سیگموئید یا نمایی بر حسب کسر حجمی مواد تشکیل دهنده، در راستای ضخامت ورق توزیع شده است. سیال بهصورت غیرلزج و تراکمناپذیر فرض شده و پتانسیل سرعت سیال بهصورت بسط توابع ویژه فرمولبندی شده است. در این مطالعه برهمکنش بین سیال و سازه لحاظ شده و مشخصات دینامیکی سیستم در تماس با سیال با استفاده از روش ریلی- ریتز استخراج شده است. به منظور بررسی اعتبار و دقت روش تئوری نتایج به‌دست آمده، با نتایج آزمایشگاهی و عددی موجود در مقالات قبلی انجام شده در این زمینه مقایسه شده است. همچنین به منظور اعتبارسنجی روش حاضر از یک تحلیل المان محدود نیز استفاده شده است. در نهایت اثر متغیرهای متفاوتی از جمله تعداد قطرها و دوایر گرهی (شماره مودها)، کسر حجمی مواد مدرج تابعی و ارتفاع سیال روی رفتار دینامیکی سیستم در تماس با سیال به‌دست آمده است
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