تحلیل ارتعاشات و فرم‌ یابی بهینه هیبرید سازه پشتیبان آنتن‌ صفحه‌ ای تنسگریتی

Tensegrity structures, despite their high stiffness-to-mass ratio, possess the ability to contract and expand, making them suitable for applications such as support structures. This article addresses the extraction of dynamic equations, shaping, geometric optimization, and the analysis of vibrations of a tensegrity support structure for a planar antenna with a central ring and six petals. The nonlinear dynamic equations of the system were derived using the Lagrange method, and the shaping of the structure was performed using the force density method. Various support structures for the sample antenna were created with fixed height and diameter while maintaining the curvature of the upper surface, and the hybrid geometric optimization of the support structure was carried out considering minimum mass, maximum stiffness, and maximum natural frequency. The hybrid optimization process, utilizing genetic algorithms and surrogate-based optimization, is one of the innovative aspects of this research. To evaluate the strength of the selected configuration of the antenna support structure, simulations were conducted in the form of modal analysis, displacement of free nodes, changes in length, and internal forces of the members.