استفاده از چاه انرژی غیرخطی، برای بهبود رفتار دینامیکی ورق مستطیلی تحت جریان آیرودینامیکی مافوق صوت با زوایای مختلف

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری، دانشکده مهندسی مکانیک، دانشگاه صنعتی شاهرود، شاهرود، ایران

2 صنعتی شاهرود، مهندسی مکانیک

چکیده

در این مقاله، اثر چاه انرژی غیرخطی بر رفتار دینامیکی ورق الاستیک چهارسرلولای مستطیلی در زوایای آزیموس مختلف مورد تحقیق قرار گرفته است. ورق مورد نظر یک ورق مستطیلی نازک است که چاه انرژی غیرخطی به آن متصل شده و جریان هوای مافوق‌صوت از روی آن عبور می‌کند. هدف تحقیق، بهبود رفتار دینامیکی ورق با تغییر پارامترهای مکانی چاه انرژی غیرخطی می‌باشد. برای بدست‌آوردن معادلات ورق از تئوری ورق کلاسیک و برای درنظرگرفتن اثر غیرخطی‌ هندسی از روابط کرنش-جابجایی ون-کارمن استفاده می‌شود. مدل‌سازی جریان آیرودینامیکی برای جریان مافوق صوت بر پایه‌ی "تئوری شبه پایای پیستون مرتبه اول" صورت پذیرفت. برای چاه انرژی غیرخطی نیز از مدل کلوین-ویت استفاده شده است. معادلات از روش لاگرانژ استخراج و سپس با روش رایلی-ریتز گسسته‌سازی شده و با استفاده از روش رانگ-کوتای مرتبه چهار نیز حل شده است. به منظور بررسی اثرات چاه انرژی غیرخطی، دیاگرام‌های تاریخچه زمانی، فضای فازی، مقطع پوانکاره و نمودار چندشاخه‌گی مورد استفاده قرار گرفته است. نتایج نشان می‌دهد که با استفاده از چاه انرژی غیرخطی، رفتار دینامیکی ورق را که در برخی حالات بسیار پیچیده است می‌توان به رفتار ساده‌تری تغییر داد و بهبود بخشید. در برخی حالت‌ها، نصب چاه انرژی غیرخطی در نزدیکی میانه ورق مناسب نیست.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Using nonlinear energy sink to improve the dynamic behavior of rectangular plate under supersonic aerodynamic flow at different angles

نویسندگان [English]

  • Hasan Asadigorgi 1
  • ardeshir karami mohammadi 2
1 Department of Mechanical Engineering, Shahrood University of Technology
چکیده [English]

In this paper, the effect of nonlinear energy sink on the dynamic behavior of a rectangular simply supported elastic plate at different azimuth angles is investigated. The plate under study is a thin rectangular plate to which a non-linear energy sink is connected and the supersonic flow of air passes over it. The research aims to improve the behavior of the plate by changing the spatial parameters of the nonlinear energy sink. Classical plate theory is used to obtain plate equations, and von Karman strain-displacement relations are used to consider the nonlinear geometric effect. Modeling of supersonic aerodynamic flow will be based on first-order piston theory. The Kelvin-Voigt model is also used for non-linear energy sinks. The equations were extracted from Lagrange's method and then discretized by Rayleigh-Ritz method and solved by fourth-order Runge-Kutta method. In order to investigate the effects of nonlinear energy sink, the time history curves, phase portraits, Poincaré maps and bifurcation diagrams are used. The results show that using nonlinear energy sinks, the behavior of the plates, which in some cases is very complex, can be changed to a simpler behavior. In some cases, using a non-linear energy sink near the center of the plate is not appropriate.

کلیدواژه‌ها [English]

  • Supersonic flow
  • Azimuth angle
  • Nonlinear Energy Sink
  • Dynamic behavior
  • bifurcation diagram
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