بهبود روش انتقال پایدار بهمنظور کنترل هم‌گرایی رویۀ اندازه‌گیری عملکرد سازه‌ها

نوع مقاله : پژوهشی

نویسنده

دانشگاه زابل

چکیده

رویۀ اندازه‌گیری عملکرد (PMA) یک روش برای ارزیابی قیدهای احتمالاتی در مسائل طراحی بهینه براساس قابلیت اعتماد سازه‌ها می‌باشد. روش مقدار متوسط ارتقا یافته (AMV) به صورت ساده و کارایی برای رویۀ PMA مناسب است. رویۀ تکرار AMV ممکن است در بعضی از قیدهای احتمالاتی غیرخطی دچار واگرایی به‌صورت نوسانی یا اغتشاش گردد. در مقالۀ حاضر، یک رویۀ انتقال پایدار برای هم‌گرایی مناسب توابع عملکرد غیرخطی ارائه شده است. این روش براساس تعریف یک طول گام مناسب بین صفر و یک که به‌سادگی برمبنای نتایج جدید رویۀ AMV و نتایج تکرار قبلی روش بهبودیافتۀ انتقال پایدار قابل محاسبه است، پایه‌گذاری شده است. بهمنظور هم‌گرایی مناسب روش بهبودیافتۀ انتقال پایدار، شرط شیب در تکرارهای متوالی لحاظ شده است. نتایج عددی چندین تابع غیرخطی عملکرد مسائل بهینه برمبنای قابلیت اعتماد نشان می‌دهد که روش بهبودیافتۀ انتقال پایدار موجب کنترل ناپایداری حل رویۀ PMA می‌شود و هم‌چنین، در مسائل سازه‌ای با عملکرد غیرخطی، نسبت به رویۀ AMV توانمندتر و نسبت به رویۀ انتقال پایدار، کاراتر است.

کلیدواژه‌ها

عنوان مقاله [English]

Improved Stability Transformation Method to Control Convergence of Structural Performance Measure Approach

نویسنده [English]

  • Behrooz Keshtegar
University of Zabol
چکیده [English]

Performance measure approach (PMA) is a method for evaluating the probabilistic constraints in reliability-based design optimization of structures. The advanced mean-value (AMV) method is suitable for PMA, simply and efficiently. The iterative AMV scheme could be yielded to unstable solutions such as periodic-oscillation and chaos for highly nonlinear performance functions. In the present paper, an improved stability transformation method (ISTM) is proposed for appropriate convergence of nonlinear performance functions. This iterative approach has been established based on a suitable stepsize between one and zero that is simply calculated on the basis of the new results of AMV scheme and the previous results of the improved stability transformation iterative formula. The descent condition was applied in the iterative sequences of the ISTM to achieve stable convergence. The results of several nonlinear performance functions in reliability-based design optimization demonstrate that the ISTM is laded to control instability solutions of PMA and also, it is more robust than AMV and more efficient that stability transformation method in structural problems with nonlinear performance functions.

کلیدواژه‌ها [English]

  • Performance Measure Approach
  • Advanced Mean-Value
  • Reliability-Based Design Optimization
  • Improved Stability Transformation Method

مراجع

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