بررسی حالت‌های پایدار استاتیکی ورق مستطیلی مرکب دوپایداره با الیاف منحنی‌شکل با لایه‌های پیزوالکتریک

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک، دانشگاه صنعتی اصفهان، اصفهان، ایران

چکیده

در این مقاله، به تحلیل استاتیکی یک ورق مستطیلی مرکب دوپایداره با الیاف منحنی ‌شکل و شرایط ‌مرزی آزاد که دارای لایه‌های پیزوالکتریک تقویت‌شده با ماکروالیاف است، پرداخته شده‌است. برای این منظور، ابتدا انرژی‌های پتانسیل و کار نیروهای خارجی ورق مستطیلی مرکب با استفاده از رابطه‌های کرنش-جابه‌جایی غیرخطی ون‌کارمن استخراج شده‌اند. سپس حالت‌های پایدار ورق مستطیلی با استفاده از روش ریلی-ریتز و کمینه‌سازی انرژی پتانسیل سیستم به‌دست آمده‌اند. در ادامه، جابه‌جایی‌های قسمت‌های مختلف ورق مستطیلی با استفاده از مدل توسعه‌یافته هیر محاسبه و با نتایج آباکوس مقایسه شده‌اند. به‌منظور افزایش دقت نتایج، برای اولین‌‌بار، تابع شکل جدیدی از مرتبه هفت برای میدان جابه‌جایی خارج از صفحه ارائه شده‌است. در نهایت، جابه‌جایی‌های قسمت‌های مختلف ورق مستطیلی به همراه حالت‌های پایدار آن برای پنج حالت مختلف چینش الیاف منحنی ‌شکل استخراج شده‌اند و با مدل اجزای محدود مقایسه شده‌اند. نتایج نشان می‌دهند که بین نتایج دو روش سازگاری بسیار خوبی وجود دارد. همچنین در این مقاله برای اولین‌بار اثر وجود لایه‌های پیزوالکتریک تقویت‌شده با ماکروالیاف روی حالت‌های پایدار استاتیکی سیستم بررسی شده‌است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Investigation of the static stable states of a bistable composite rectangular plate with curved fibers and piezoelectric layers

نویسندگان [English]

  • Ehsan Hendesi
  • Reza Tikani
  • Mohammad Sina Taki
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran
چکیده [English]

In this paper, the static analysis of a bistable composite rectangular plate with curved fibers, free boundary conditions and piezoelectric layers reinforced with macro fibers is investigated. To this end, the potential energies and the work of external forces for the composite rectangular plate are derived using von Karman's nonlinear strain-displacement relations. The stable states of the rectangular plate are then determined using the Rayleigh-Ritz method through minimizing the potential energy of the system. Subsequently, the displacements of various parts of the rectangular plate are calculated using an extended higher-order model, and compared with the results by simulation in Abaqus. For the first time, a novel seventh-order shape function for the out-of-plane displacement field is proposed to enhance the accuracy of the results. Finally, the displacements and stable states of the rectangular plate are extracted for five different curved fiber configurations, and compared with the results from the finite element model. The findings demonstrate excellent agreement between the two methods. Additionally, this study uniquely examines the impact of piezoelectric layers reinforced with macro fibers on the static stable states of the system for the first time.

کلیدواژه‌ها [English]

  • Static Analysis
  • Composite Materials
  • Curved Fibers
  • Developed Hyer’s Theory
  • Pizoelectric layers

مراجع

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