تحلیل ارتعاش آزاد پوسته استوانه‌ای ساندویچی با رویه‌های چند لایه‌ فلز-الیاف و هسته انعطاف‌پذیر بر مبنای تئوری مرتبه بالای پوسته‌های ساندویچی

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشکده مهندسی مکانیک، دانشگاه زنجان، زنجان، ایران

چکیده

در این پژوهش، پاسخ ارتعاشات آزاد پوسته‌های استوانه‌ای ساندویچی با رویه‌های چندلایه فلز–الیاف و هسته انعطاف‌پذیر، تحت شرایط تکیه‌گاهی ساده، به‌صورت تحلیلی مورد بررسی قرار گرفته است. به منظور بررسی اثرات غیرخطی بر رفتار ارتعاشی سازه معادلات حاکم با بهره‌گیری از اصل همیلتون و در چارچوب تئوری مرتبه‌بالای پوسته‌های ساندویچی استخراج گردیدند. در این مدل‌سازی رفتار رویه‌ها بر اساس تئوری کلاسیک پوسته و میدان جابجایی هسته با استفاده از تئوری سه‌بعدی الاستیسیته به‌دست آمده است. برای دستیابی به دقت بالاتر، توزیع‌های غیرخطی حاصل از حل معادلات تعادل در هسته، به‌عنوان معادلات مکمل در فرایند مدل‌سازی لحاظ شده‌اند. در استخراج معادلات تمامی مؤلفه‌های تنش و جابجایی، به‌همراه تنش‌های عمودی و برشی در نواحی اتصال بین هسته و رویه‌ها، به‌صورت کامل منظور شده‌اند. در ادامه، با انجام تحلیل مقدار ویژه، فرکانس‌های طبیعی و مودهای ارتعاشی سازه استخراج و با داده‌های معتبر پیشین مقایسه و اعتبارسنجی شده‌اند. همچنین، در یک مطالعه پارامتری، تأثیر پارامترهای هندسی، چگالی هسته، ضخامت و آرایش لایه‌ها بر پاسخ ارتعاشی سیستم مورد ارزیابی قرار گرفته است. نتایج مطالعه حاضر امکان طراحی جامع تر پوسته های ساندویچی در آینده را فراهم خواهد ساخت.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Free Vibration Analysis of Sandwich Cylindrical Shells with Multilayer Fiber-Metal Face sheets and Flexible Core Based on Higher-Order Sandwich Shell Theory

نویسندگان [English]

  • Peyvand Abbaspour
  • Omid Rahmani
Faculty of Mechanical Engineering, University of Zanjan, Zanjan, Iran
چکیده [English]

In this study, the free vibration response of cylindrical sandwich shells with fiber–metal laminate (FML) facesheets and compliant core under simply supported boundary conditions is analytically investigated. The governing equations are derived based on Hamilton’s principle within the framework of a higher-order sandwich shell theory and implemented in MATLAB to analyze the nonlinear effects on the vibrational behavior of the structure. In the modeling process, the behavior of the facesheets is described using the classical shell theory, while the displacement field of the core is obtained from three-dimensional elasticity theory without introducing simplifying assumptions. To enhance the accuracy, the nonlinear distributions obtained from the explicit solution of the equilibrium equations in the core are incorporated as complementary relations in the modeling process. Furthermore, the in-plane geometric nonlinearities and transverse deformations of the core are considered within the higher-order model to provide a more realistic simulation of the structural response. In the formulation of the governing equations, all stress and displacement components, along with the normal and shear stresses at the core–facesheet interfaces, are fully included. Subsequently, by performing eigenvalue analysis, the natural frequencies and mode shapes of the structure are extracted and validated against available reference data. In addition, a parametric study is carried out to evaluate the influence of geometric parameters, core density, thickness, and layer configuration on the vibrational response of the system.

کلیدواژه‌ها [English]

  • Sandwich Cylindrical Shells
  • Fiber-Metal Laminate
  • Flexible Core
  • Free Vibration
  • Elasticity Solution
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