مدل‌سازی پدیده تلفیق ارتعاشات و آکوستیک ناشی از تماس در تکیه‌گاه تیر اویلر-برنولی با استفاده از المان طیفی فوریه

نوع مقاله : مقاله پژوهشی

نویسندگان

1 صنعتی شاهرود-مهندسی مکانیک

2 پژوهشکده فناوری نو، دانشگاه صنعتی امیرکبیر

3 صنعتی امیرکبیر*مهندسی مکانیک

چکیده

ازجمله ایده‌های نوین برای شناسایی زودهنگام آسیب استفاده از ماهیت غیرخطی آسیب‌های سازه‌ای با استفاده از وصله‌های پیزوالکتریک است. شل‌شدن تکیه‌گاه گیردار ازجمله عیوبی است که سبب ایجاد اختلال در عملکرد سازه می‌شود. در این مقاله روش المان طیفی فوریه برای بررسی رفتار غیرخطی تماسی ناشی از شل‌شدن تکیه‌گاه گیردار با استفاده از روش تلفیق ارتعاشات و آکوستیک ارائه‌شده‌است. سه وصله پیزوالکتریک روی تیر اویلر-برنولی جاسازی‌شده است. دو عدد از پیزوالکتریک‌ها به‌عنوان عملگر پمپ و حامل و وصله پیزوالکتریک سوم به‌عنوان حس‌گر برای برداشت سیگنال تلفیق‌شده مورداستفاده قرار می‌گیرند. در مدل عددی از ایده بستر الاستیک به‌منظور مدل‌سازی تکیه‌گاه استفاده شد. رفتار غیرخطی تماسی به‌صورت اعمال یک لقی بین سازه میزبان و سطح صلب مدل‌سازی شد. آزمون‌های تجربی و شبیه‌سازی‌های عددی در دو حالت سالم و معیوب (تکیه‌گاه شل‌شده) و در فرکانس‌های مختلف انجام پذیرفت. پردازش سیگنال‌های ثبت‌شده به‌صورت سری زمانی در حوزه فرکانس امکان احراز پدیده تلفیق و استخراج شاخص آسیب مناسب با شدت آسیب را فراهم می‌سازد. طبق نتایج، المان طیفی فوریه امکان شبیه‌سازی پدیده تلفیق را با دقت مناسب (صحه‌گذاری با نتایج تجربی) و همچنین نرخ همگرایی بالا فراهم می‌آورد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Modeling of vibro-acoustic modulation induced by non-linear contact in the Euler-Bernoulli beam using the Fourier spectral element

نویسندگان [English]

  • Naserodin Sepehry 1
  • Mohammad Ehsani 2
  • Mahnaz Shamshirsaz 2
  • Mojtaba Sadighi 3
1 صنعتی شاهرود-مهندسی مکانیک
2 New Technologies Research Center (NTRC), Amirkabir University of Technology
3 Department of Mechanical Engineering, Amirkabir University of Technology, Tehran
چکیده [English]

Exploiting the nonlinear nature of structural damage through piezoelectric patches is one of the latest concepts of early detection of damage. Support loosening as one of the prevalent defects in engineering systems is a source of contact acoustic nonlinearity. Vibro-acoustic modulation has proven to be a promising method for revealing structural nonlinearity characteristics. Requiring a large number of cycles to be solved in the time domain to reach the steady-state before evaluating the results in the frequency domain, makes using existing computational methods such as finite element method to model this phenomenon very expensive. This paper is concerned with a novel numerical method called Fourier spectral element to investigate the vibro-acoustic modulation in the Euler-Bernoulli beam caused by contact nonlinearity. Three piezoelectrics were attached to the beam as the probe, pump and sensor. The numerical outcomes are compared against the experimental results to check the validity of the developed method. The results show that the Fourier spectral element not only provides a high convergence rate but is also capable of simulating the phenomenon of modulation with sufficient accuracy.

کلیدواژه‌ها [English]

  • Structural health monitoring
  • vibro-acoustics modulation
  • Contact acoustics nonlinearity
  • piezoelectric patches
  • Fourier spectral element
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