مطالعه پدیده پرش تصادفی در تیر غیرخطی یکسر گیردار مغروق در آب تحت تحریک تصادفی باند باریک

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان

1 دانشکده فنی و مهندسی دانشگاه جامع امام حسین ع

2 جامع امام حسین(ع)

چکیده

برای بسیاری از سازه‌های دریایی نظیر ستون‌ها و سازه‌های نفتی، پایانه و تکیه‌گاه دکل‌های نفتی و برج‌های احاطه‌شده توسط آب معمولاً از مدل یک تیر یا ستون یکسر گیردار استفاده می‌گردد. این مدل‌ها معمولاً تحت تحریک تصادفی قرار گرفته و دامنه پاسخ این سازه‌ها در حین طراحی از اهمیت خاصی برخوردار می‌باشد. در این مقاله تیر غیرخطی یکسر گیردار مغروق در سیال، با یک جرم متمرکز تحت تحریک تصادفی باند باریک مورد مطالعه قرار گرفته است و پاسخ آن مورد تجزیه‌وتحلیل قرار گرفته است. با توسعه روش بالانس هارمونیکی، واریانس پاسخ سیستم تصادفی تعیین و پدیده پرش و پرش تصادفی بررسی‌شده است. حل تحلیلی و شبیه‌سازی عددی نشان می‌دهد، تحریک تصادفی باعث افزایش دامنه پاسخ تصادفی تیر نسبت به پاسخ معین در بین نقاط دوشاخگی می‌شود. با افزایش شدت تحریک تصادفی، پاسخ پایا از حالت چرخه‌ای مدور به حالت چرخه‌ای کشیده شده تغییر می‌یابد. همچنین نتایج نشان می‌دهند پدیده پرش تصادفی در ناحیه‌ای که سه جواب برای سیستم است، رخ می‌دهد. در پایان، نتایج تحلیلی و مدل‌سازی عددی بیانگر این است که تطابق بسیار خوبی بین داده‌ها و نتایج این دو روش وجود دارد.

کلیدواژه‌ها

عنوان مقاله [English]

The Study of the Stochastic Jump Phenomenon in a Nonlinear Cantilever Beam Immersed in Water Under Narrow-Band Random Excitation

نویسندگان [English]

  • pouya sarvi 1
  • - - 2
1 Imam Hossein Comprehensive University
2 -
چکیده [English]

For the modelling of marine structures, such as the oil columns and structures, the terminal and base of oil platforms and the towers surrounded by water usually a cantilever beam or rod is used. These models are subjected to random excitation and the response amplitude of these structures is of particular importance during design. In this paper, a nonlinear cantilever beam immersed in a fluid with a concentrated mass under a narrow band random excitation has been studied and its response has been analyzed. With the development of the harmonic balance method, the variance of the random system response has been determined and the phenomenon of jumping and random jumping has been investigated. The analytical solution and the numerical simulations show that in comparison with the deterministic response, the random excitation increases the amplitude of the random response between the bifurcation points of the beam. As the intensity of the random excitation increases, the steady response changes from a circular to a cyclic state. The results also show that the random jump phenomenon occurs in the area where there are three states for the system. Finally, the results of analytical and numerical modeling indicate that there is a very good agreement between the data and the results of these two methods.

کلیدواژه‌ها [English]

  • Nonlinear Beam
  • Nonlinear Vibrations
  • Random Vibrations
  • Random Excitation
  • Jump Phenomenon

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مراجع

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سابقه مقاله

  • تاریخ دریافت: 04 اردیبهشت 1400
  • تاریخ بازنگری: 17 تیر 1400
  • تاریخ پذیرش: 27 آذر 1400
  • تاریخ انتشار: 01 آبان 1400

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