مکانیک هوافضا

مکانیک هوافضا

بهینه‌سازی ساختار و تحلیل ارتعاشات سازه تنسگریتی پشتیبان آنتن‌های صفحه‌ای

نوع مقاله : گرایش دینامیک، ارتعاشات و کنترل

نویسندگان
1 دانشجوی دکتری، پژوهشگاه هوافضا (وزارت علوم، تحقیقات و فناوری)، تهران، ایران
2 دانشیار، پژوهشگاه هوافضا (وزارت علوم، تحقیقات و فناوری)، تهران، ایران
چکیده
سازه‌های تنسگریتی با نسبت بالای سفتی به جرم، قابلیت جمع‌/باز‌شوندگی را دارا هستند و گزینه‌ای مناسب برای کاربردهایی نظیر سازه‌های پشتیبان به شمار می‌روند. این مقاله به استخراج معادلات دینامیک، فرم‌یابی و بهینه‌سازی هندسی سازه تنسگریتی پشتیبان آنتن صفحه‌ای با یک حلقه مرکزی و شش‌گوشه می‌پردازد. معادلات دینامیک غیرخطی دستگاه با استفاده از روش لاگرانژ و المان محدود استخراج و فرم‌یابی سازه به روش چگالی نیرو انجام شده است. برای بهینه‌سازی، سازه‌های با پیکربندی مختلف (با ارتفاع و قطر خارجی ثابت و حفظ انحنای سطح فوقانی) پشتیبان آنتن، با تغییر در قطر حلقه میانی طراحی و بهینه‌سازی شده‌اند. به‌منظور افزایش دقت، از روش بهینه‌سازی هیبرید جهت نهایی‌سازی هندسه سازه پشتیبان باهدف کاهش جرم، افزایش سفتی و فرکانس طبیعی استفاده شده است. فرایند بهینه‌سازی هیبرید با بهره‌گیری از الگوریتم ژنتیک و الگوریتم بهینه‌سازی غیرخطی مقید در نهایی‌سازی ساختار سازه پشتیبان، از جمله نوآوری‌های این پژوهش محسوب می‌شود. به‌منظور ارزیابی استحکام سازه پشتیبان، ارتعاشات آزاد و اجباری دستگاه در قالب فرکانس‌های طبیعی، شکل مودها، تغییر طول، جابه‌جایی گره‌ها و نیروهای داخلی اعضاء مورد بررسی قرار گرفته است. نتایج، بهبود عملکرد ارتعاشی سازه پس از بهینه‌سازی را تأیید و نشان داد که استفاده از بازخورد تحلیل‌های ارتعاشی در نهایی‌سازی هندسه، علاوه بر درک بهتر از عملکرد دینامیکی سازه‌، راهکارهای نوینی در طراحی سازه‌های با ساختار پیچیده را ارائه می‌دهد.

چکیده تصویری

بهینه‌سازی ساختار و تحلیل ارتعاشات سازه تنسگریتی پشتیبان آنتن‌های صفحه‌ای
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Geometric Optimization and Vibrational Analysis of Tensegrity-Based Support Structures for Planar Antennas

نویسندگان English

Morteza Jahan 1
Milad Azimi 2
1 PhD Student, Aerospace Research Institute (Ministry of Science, Research and Technology), Tehran, Iran
2 Associate Professor, Aerospace Research Institute (Ministry of Science, Research and Technology), Tehran, Iran
چکیده English

Tensegrity structures, characterized by their high stiffness-to-mass ratio and deployable capabilities, represent a promising solution for applications such as support structures. This paper explores the extraction of dynamic equations, form-finding, and geometric optimization of a tensegrity support structure designed for a planar antenna featuring a central ring and six petals. The nonlinear dynamic equations of the system were derived utilizing the Lagrangian approach and Finite Element Method, while the form-finding of the structure was achieved through a force density approach. For optimization, support structures with various configurations—maintaining a constant height and outer diameter while varying the curvature of the upper surface—were designed and optimized by altering the diameter of the middle ring. To enhance the accuracy of the optimization process, a hybrid optimization method was employed to finalize the geometry of the support structure, with the objectives of minimizing mass, increasing stiffness, and enhancing natural frequency. This hybrid optimization process, which integrates genetic algorithms with nonlinear constrained optimization algorithms, constitutes a novel contribution of this research. To assess the strength of the support structure, both free and forced vibrations of the system were analyzed regarding natural frequencies, mode shapes, deformation, nodal displacement, and internal member forces. The results affirm the improved vibrational performance of the structure following optimization and illustrate the advantages of utilizing feedback from vibrational analysis in finalizing the geometry, alongside a deeper understanding of dynamic behavior.

کلیدواژه‌ها English

Planar Antenna
Tensegrity Structure
Force Density
Hybrid Optimization
Genetic Algorithm
Vibration Analysis
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دوره 21، شماره 4 - شماره پیاپی 82
زمستان
زمستان 1404
صفحه 65-76

  • تاریخ دریافت 03 آبان 1404
  • تاریخ بازنگری 02 آذر 1404
  • تاریخ پذیرش 20 دی 1404
  • تاریخ انتشار 01 بهمن 1404