تحلیل پایداری یک تونل در شرایط هیدروستاتیک با استفاده از روشهای مختلف قابلیت اعتماد در نرمافزارهایRTو@Risk

نوع مقاله : پژوهشی

نویسندگان

1 دانشکدۀ مهندسی علوم زمین، دانشگاه صنعتی اراک

2 دانشکدۀ مهندسی علوم زمین، دانشگاه صنعتی اراک.

چکیده

یکی از راه‌های تحلیل پایداری تونل، بررسی همگرایی و شعاع منطقۀ پلاستیک در اطراف آن است. از طرفی وجود عدم قطعیت در پارامترهای طراحی، ارزیابی ایمنی سازه‌ها را به استفاده از روش‌های احتمالاتی و قابلیت اعتماد سوق می‌دهد. در این تحقیق سعی شده با بهره‌گیری از روابط هوک و براون و موهر کولمب،یک متدولوژی برای تحلیل پایداری دو تونل‌ (در شرایط متفاوت) با استفاده از روش‌های قدرتمند قابلیت اعتماد شامل روش مرتبۀ اوّل (FORM)، روش مرتبۀ دوم (SORM) و شبیه‌سازی مونت‌کارلو در نرم‌افزارهایجدید RTو @Risk ارائه شود. پس از مدل‌سازی احتمالاتی در این دو نرم‌افزار، نتایج تحلیل‌ها نشان می‌دهد که روش قابلیت اعتماد مرتبۀ دوم نسبت به روش مرتبۀ اوّل در توابع پیچیده‌تر حالت حدی، از دقّت بیشتری برخوردار است. همچنین در مقادیر بالای احتمال شکست، روش‌های مرتبۀ اوّل و شبیه‌سازی مونت‌کارلو خروجی‌های واقعی‌تری را ارائه می‌دهند و در مقادیر پایین احتمال شکست، روش شبیه‌سازی مونت‌کارلو توصیه نمی‌شود. به‌علاوه تونل مدنظر در شرایط بدون نگهداری دارای احتمال شکست بالایی (۲۴٪) است و تدارک یک سیستم نگهداری با فشار نگهداری 12/0 مگاپاسکال کارآمد است.

کلیدواژه‌ها

عنوان مقاله [English]

Stability Analysis of a Tunnel in Hydrostatic Conditions Using Different Reliability Methods in @Risk and RT Software

نویسندگان [English]

  • Hadi Fattahi 1
  • Fateme Jiryaee 2
1 Mechanics Engineering, Department of Earth Sciences Engineering, Arak University of Technology, Arak, Iran.
2 Department of Earth Sciences Engineering, Arak University of Technology, Arak, Iran.
چکیده [English]

One way to stability analysis of tunnel is to examine the convergence and radius of the plastic zone around it. On the other hand, uncertainties in the design parameters lead to the evaluation of the safety of structures using probabilistic and reliability methods. In this research was presented a methodology for stability analysis of two tunnels (under different conditions), by Hock-Brown and Mohr-Coulomb theory using robust reliability methods including: first order method (FORM), second order method (SORM) and Monte Carlo simulation in new RT and @Risk software. After probabilistic modeling in these two software, the results of the analysis show that the second order reliability method is more accurate than the first order method in more complex limit state functions. Also, at high values ​​of failure probability, first order and Monte Carlo simulation methods provide more realistic outputs and at low values ​​of failure probability, Monte Carlo simulation method is not recommended.In addition, the tunnel without pressure has a high probability of failure (24%), so that providing a support with 0.12 MPa pressure is efficient.

کلیدواژه‌ها [English]

  • Reliability
  • RT software
  • @Risk software
  • Tunnel stability analysis

مراجع

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