افزایش برداشت توان الکتریکی از میکروتیر پیزوالکتریک به روش الگوریتم ژنتیک با بهینه کردن هندسی و ماده ای

نوع مقاله : مقاله پژوهشی

نویسندگان

1 کارشناسی ارشد / گروه مکانیک، واحد خمینی‌شهر، دانشگاه آزاد اسلامی، خمینی شهر، اصفهان

2 عضو هیات علمی / گروه مکانیک، واحد خمینی‌شهر، دانشگاه آزاد اسلامی، خمینی شهر، اصفهان

چکیده

با توجه به رابطه مستقیم میان تغییر شکل حاصل از ارتعاش و ولتاژ تولید شده در سطح میکروتیر پیزوالکتریک ، بررسی نقش ابعاد هندسی این قطعات در ولتاژ تولید شده در اعمال یک نیروی ثابت از اهمیت بسزایی برخوردار است. در این تحقیق به منظور بهینه سازی ابعاد هندسی میکرو تیر پیزوالکتریک از ابزار الگوریتم ژنتیک نرم افزار متلب استفاده می­گردد. به این منظور ابتدا رابطه تحلیلی حاکم بر یک میکرو­تیر تک لایه پیزو­الکتریک در مدل اویلر برنولی استخراج شده سپس پارامترهای طول تیر، طول لایه پیزو­الکتریک، پهنای تیر، ضخامت لایه پیزوالکتریک و ضخامت تیر برای بیشینه­کردن ولتاژ برداشت شده به عنوان تابع هدف در بهینه­سازی در نظر گرفته می­شوند. برای اطمینان از دقت رابطه تحلیلی ارائه شده در نرم افزار آباکوس میکرو تیر تک لایه پیزوالکتریک مذکور مدل شده که مقایسه نتایج از انطباق 88 درصدی رابطه تحلیلی و مدل المان محدود حکایت دارد. همچنین مشاهده می­شود بهینه سازی با استفاده از ابزار الگوریتم ژنتیک نرم افزار متلب در صورت انتخاب اندازه جمعیت مناسب می تواند تا 59 درصد ولتاژ تولید شده را افزایش دهد و در عین حال بیش از 50 درصد ابعاد میکرو تیر مذکور را کاهش دهد.

کلیدواژه‌ها

عنوان مقاله [English]

Increasing the electric power harvesting from the piezoelectric micro beam by the genetic algorithm method by optimizing the geometrical shape and material

نویسندگان [English]

  • Mehran Eghdami 1
  • Majid Jabbari 2
1 Master, Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran
2 Assistant Professor, Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran
چکیده [English]

Considering the direct relationship between the shape change resulting from vibration and the voltage generated on the surface of the piezoelectric micro wire, it is very important to investigate the role of the geometric dimensions of these parts in the voltage generated by applying a constant force. In this research, in order to optimize the geometric dimensions of the piezoelectric micro beam, the genetic algorithm tool of MATLAB software is used. For this purpose, firstly, the analytical relationship governing a single piezoelectric layer micro beam in the Euler-Bernoulli model was extracted, then the parameters of beam length, piezoelectric layer length, beam width, piezoelectric layer thickness and beam thickness were taken to maximize the voltage. They are considered as the objective function in optimization. In order to ensure the accuracy of the analytical relationship presented in Abaqus software, the mentioned piezoelectric single layer micro beam has been modeled, and the comparison of the results indicates that the analytical relationship and the finite element model match 88%. Also, it can be seen that optimization using the genetic algorithm tool of MATLAB software can increase the generated voltage by 59% and at the same time reduce the dimensions of the mentioned micro beam by more than 50%.

کلیدواژه‌ها [English]

  • genetic algorithm
  • numerical method
  • piezoelectric
  • optimization
  • voltage

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