مهندسی سازه و ساخت

مهندسی سازه و ساخت

شناسایی آسیب در قاب برشی با استفاده از ترکیب تبدیل موجک پیوسته و معیارهای آنتروپی

نوع مقاله : علمی - پژوهشی

نویسندگان
1 دانشجوی کارشناسی‌ارشد، دانشکده فنی و مهندسی، دانشگاه محقق اردبیلی، اردبیل، ایران
2 استاد، دانشکدۀ فنی و مهندسی، دانشگاه محقق اردبیلی، اردبیل، ایران
3 دانشجوی دکتری، دانشکده فنی و مهندسی، دانشگاه محقق اردبیلی، اردبیل، ایران
10.22065/jsce.2025.535686.3776
چکیده
این پژوهش، شناسایی آسیب در قاب برشی تحت تحریکات لرزه‌ای را با روشی ترکیبی مبتنی‌ بر تبدیل موجک پیوسته و آنتروپی تقریبی، نمونه و فازی ارائه می‌دهد. استفاده از آنتروپی به‌عنوان معیاری برای کمی‌سازی بی‌نظمی سیگنال پاسخ سازه امکان سنجش تغییرات ناشی از آسیب را فراهم می‌کند. ابتدا پاسخ‌های شتاب سازه با تبدیل موجک پیوسته با موجک مادر مورلت به حوزه زمان–فرکانس نگاشت می‌شوند تا تحلیل ویژگی‌های محلی سیگنال ممکن گردد. سپس، معیارهای آنتروپی مبتنی‌ بر ضرایب موجک در هر مقیاس برای حالات مختلف آسیب و تمام طبقات محاسبه شده و رخداد آسیب با رصد تغییرات شاخص آسیب شناسایی و عملکرد آن‌ها از نظر دقت مقایسه می‌گردد. برای شناسایی مودهای حساس به آسیب، فرکانس‌های معادل مقیاس در موجک با فرکانس‌های طبیعی سازه سالم در هر مود تطبیق داده می‌شوند تا تأثیر آسیب بر مودهای ارتعاشی سازه مورد بررسی قرار گیرد. برای ارزیابی عملکرد روش پیشنهادی، یک قاب برشی پنج طبقه در نرم‌افزار متلب مدل‌سازی شده و تحلیل دینامیکی تاریخچه زمانی تحت دو رکورد زلزله انجام می‌گیرد. نتایج نشان می‌دهد وقوع آسیب منجر به تغییر شاخص‌های مبتنی‌ بر آنتروپی در برخی نواحی فرکانسی شده که بیانگر رشد بی‌نظمی در رفتار دینامیکی سازه می‌باشد. میانگین شاخص مبتنی‌ بر آنتروپی نمونه طبقات سازه در اغلب حالات آسیب بیشتر از آنتروپی تقریبی و فازی است و توانایی بالاتری در آشکارسازی تغییرات ناشی از آسیب دارد. بیشترین اختلاف بین آنتروپی‌ها در حالت سالم و آسیب‌دیده در محدوده فرکانسی نزدیک به فرکانس‌های طبیعی سازه سالم مشاهده می‌شود که امکان شناسایی مودهای حساس به آسیب را فراهم می‌کند. همچنین، آنتروپی نمونه مبتنی‌ بر ضرایب موجک معمولاً در مود اول حساسیت بیشتری نسبت به آسیب دارد، در حالی که آنتروپی تقریبی و فازی بیشترین حساسیت خود را در مود سوم نمایش داده‌اند.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Damage Detection in Shear-Frame Using a Hybrid Criteria of Continuous Wavelet Transform and Entropy Measures

نویسندگان English

Rana Esmaeilzadegan 1
Amin Gholizad 2
Mona Shoaei-parchin 3
1 M.Sc. Student of Structural Engineering, Mohaghegh Ardabili University, Ardabil, Iran.
2 Professor, Department of Civil Engineering, Faculty of Engineering, University of Mohaghegh Ardabili, Ardabil, Iran.
3 Ph.D. Candidate of Structural Engineering, Mohaghegh Ardabili University, Ardabil, Iran
چکیده English

This study presents a methodology for damage detection in shear-frame structures under seismic excitations, based on a combined approach using continuous wavelet transform and approximate, sample, and fuzzy entropy measures. Entropy is employed as a quantitative indicator of signal irregularity, enabling the assessment of structural changes caused by damage. First, the structural acceleration responses are mapped into the time– frequency domain using continuous wavelet transform with Morlet mother wavelet, which facilitates the analysis of local signal features. Subsequently, wavelet-based entropy measures are computed across all scales for different damage scenarios and all floors, and damage events are identified by monitoring variations in the entropy-based damage indices. The performance of these measures in damage detection is also compared. To identify damage-sensitive modes, the equivalent frequencies of the wavelet scales are checked with the natural frequencies of the intact structure for each mode to find the effects of damage on the structure’s vibrational modes. To evaluate the performance of the proposed method, a five-story shear-frame model is developed in MATLAB, and dynamic time-history analyses are performed under two earthquake records. The results indicate that damage leads to noticeable changes in entropy-based indices in specific frequency bands, which reflects increased irregularity in the structural dynamic behavior. The average of damage index based on sample entropy for the structure's floors is generally greater than the corresponding indices from approximate and fuzzy entropy, suggesting that sample entropy is more sensitive to damage-induced changes. Furthermore, the maximum differences between entropy values in the intact and damaged states occur in frequency bands close to the natural frequencies, enabling the identification of damage-sensitive modes. Moreover, sample entropy based on wavelet coefficients exhibits higher sensitivity to damage in the first mode across most damage scenarios, whereas approximate and fuzzy entropy measures show their highest sensitivity in the third mode.

کلیدواژه‌ها English

Structural health monitoring
Signal processing
Wavelet transform
Entropy
Complexity
Morlet wavelet
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  • تاریخ دریافت 02 مرداد 1404
  • تاریخ بازنگری 27 مهر 1404
  • تاریخ پذیرش 15 آذر 1404