پایش سلامتیِ مبتنی بر ارتعاش در تیرها با استفاده از روش‌های برازش منحنی، همبستگی و تعیین انحنا

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشکده مهندسی عمران، دانشگاه سمنان، سمنان، ایران

2 گروه مهندسی عمران، دانشگاه ولایت، ایرانشهر، ایران

3 گروه ریاضی، دانشگاه ولایت، ایرانشهر، ایران

4 گروه مکانیک و هوافضا، دانشکده مهندسی، دانشگاه فردوسی مشهد، مشهد، ایران

چکیده

پایش سلامت و تشخیص آسیب در سازه‌ها برای حفظ امنیت و سلامت افراد و همچنین، مقابله با خسارت‌های اقتصادی حائز اهمیت است. این مقاله برپایه مقایسه اطلاعات اولیه و ثانویه مودال، شامل بسامدها و شکل مودهای ارتعاشی به پایش سلامت و تشخیص آسیب در عضو سازه‌ای تیر پرداخته است. تأثیر آسیب به‌صورت اختلاف بین مقادیر اولیه و ثانویه بسامد و همچنین، اختلاف بین ضرایب برازشی منحنی‌های چندجمله‌ای مشاهده گردید. نیز، ضریب همبستگی پیرسون بین شکل‌های اولیه و ثانویه مود، مقداری غیر از 1 و 1- محاسبه شد که نشان‌دهنده تأثیر آسیب بر جابه‌جایی نسبی درجات آزادی است. بااین‌حال نمی‌توان موقعیت‌های آسیب را با روش‌های برازش منحنی، همبستگی و همچنین، مقایسه بسامد‌های طبیعی شناسایی کرد؛ بنابراین، مقایسه شکل‌های اولیه و ثانویه مودهای ارتعاشی برمبنای تعیین شاخص انحنای مرکزی انجام شد. نشان داده شد که اختلاف بین نمودارهای اولیه و ثانویه شاخص انحنا به‌صورت شکستگی‌های ایجاد شده در موقعیت‌های آسیب و در نمودار شاخص انحنای وضعیت ثانویه رخ می‌دهد و به‌این‌ترتیب، مکان‌های آسیب‌دیده قابل‌شناسایی است.


 


 

 
 

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Vibration-Based Health Monitoring in Beams Using Curve Fitting, Correlation, and Curvature Determination Methods

نویسندگان [English]

  • Mohtasham Khanahmadi 1
  • Seyed Mohammad Miri 2
  • Behzad Dezhkam 2
  • Yaser Amiri 3
  • Morteza Khademi-Kouhi 4
1 Faculty of Civil Engineering, Semnan University, Semnan, Iran
2 Department of Civil Engineering, Velayat University, Iranshahr, Iran
3 Department of Mathematics, Velayat University, Iranshahr, Iran
4 Department of Aerospace and Mechanics, Ferdowsi University of Mashhad, Mashhad, Iran
چکیده [English]

Health monitoring and damage detection in structures is important for maintaining the safety and health of individuals as well as for dealing with economic losses. This article compares primary and secondary modal information, including the frequency values and vibration mode shapes, for health monitoring and damage detection in beams. The impact of the damage is observed as a difference between primary and secondary frequency values, as well as a difference between the coefficients of the polynomial curves. Also, the Pearson's Correlation Coefficient (PCC) between the primary and secondary modes is calculated as values other than 1 and -1 that indicate the impact of damage on the relative displacement of degrees of freedom. However, damage locations cannot be identified by curve fitting, correlation, and comparison of natural frequencies; thus, comparison of primary and secondary shapes of vibration modes was made based on determination of central curvature. It was shown that the difference between the primary and secondary curvature graphs occurs as fractures created in damaged positions and in the curvature graph of the secondary situation; hence, the damaged locations are identifiable.

کلیدواژه‌ها [English]

  • Health Monitoring"
  • Damage Detection"
  • Vibration Mode Shape"
  • Pearson&rsquo
  • s Correlation Coefficient"
  • "
  • Curvature"
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