بررسی اثر محرک پیزوالکتریک بر رفتار کمانش و ارتعاشی تیرهای اویلر- برنولی تحت نیروی محوری

نوع مقاله : مقاله پژوهشی

نویسندگان

• حسن بیگلری
• وحید عرب ملکی
• نیما جعفرزاده اقدم

دانشگاه تبریز

10.22067/fum_mech.v27i2.37712

چکیده

استفاده از لایه‌های پیزوالکتریک تأثیر قابل ‌ملاحظه‌ای بر رفتار ارتعاشی و ظرفیت باربری سازه ها دارد. به‌منظور استفادۀ بهینه از مواد پیزوالکتریک می‌توان به‌جای لایۀ سرتاسری از وصله‌های پیزوالکتریک استفاده کرد. هدف تحقیق حاضر بررسی تأثیر وصله‌های پیزوالکتریک و شرایط مرزی بر رفتار کمانش و ارتعاشی تیر اویلر-برنولی تحت بار محوری می‌باشد. تأثیر تنش‌های اعمالی از طرف وصله‌های پیزوالکتریک با استفاده از تابع هوی ساید در معادلات حرکت اعمال شده و با استفاده از روش گالرکین، معادلۀ مشخصۀ حاکم بر رفتار ارتعاشی سیستم استخراج شده است. نتایج نشان می‌دهد که فرکانس‌های طبیعی و بار بحرانی تیر به ولتاژ، طول و موقعیت وصله‌های پیزوالکتریک و هم‌چنین نیروی محوری بستگی دارد که این تأثیرات با استفاده از نمودارهای مناسبی ارائه و مورد بحث قرار داده شده است. نتایج نشان می‌دهد که وصله‌های پیزوالکتریک واقع در وسط تیر بیشترین تأثیر را بر روی فرکانس‌های طبیعی و ظرفیت کمانش تیر دارند.

کلیدواژه‌ها

• تیر اویلر- برنولی
• فرکانس طبیعی
• نیروی محوری
• بار بحرانی کمانش
• وصلۀ پیزوالکتریک

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عنوان مقاله [English]

Effect of Piezoelectric Patches on the Vibration and Buckling of Euler-Bernoulli Beams under Axial Load

نویسندگان [English]

• Hasan Bighlari
• Vahid Arab Maleke
• Nima Jafarzade

دانشگاه تبریز

چکیده [English]

Piezoelectric layers have significant effect on the vibration behavior and buckling capacity of the structures. For optimum usage of piezoelectric materials, it is possible to use the piezoelectric patches instead of the piezoelectric layers. In this paper, the effects of piezoelectric patches and boundary conditions on the buckling and vibration behaviors of Euler-Bernoulli beams is investigated. The piezoelectric stress resultants are introduced in terms of Heaviside discontinuity functions and the characteristics equation is obtained via Galerkin method. The effects of variation of location, length of the piezoelectric patches and the applied voltages on the natural frequencies and critical buckling loads of beam with different boundary conditions are investigated. Results show that the natural frequencies and critical buckling load are dependent on the voltage, length and location of the piezoelectric patches and the axial load. Also, patches have a considerable effect if they placed at the beam center.

کلیدواژه‌ها [English]

• Euler-Bernoulli beam
• Natural Frequency
• Axial Load
• Buckling Load
• Piezoelectric Patch

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