Finite Element Method with Energy Minimization (FEMEM) in Structural Analysis with Applications to Tensegrity Structures
17th International Conference on Computational Methods (ICCM2026), İstanbul, Türkiye, 16 - 19 Ağustos 2026, ss.1-12, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.1-12
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
The Finite Element Method (FEM) has long been one of the most powerful computational techniques in structural engineering for the analysis of linear and nonlinear systems. Nevertheless, conventional FEM aproaches may encounter significant limitations in problems involving severe geometric nonlinearity, unstable or under-constrained systems, multiple equilibrium configurations, progressive failure, and displecement constraints. To address these challenges, the Finite Element Method with Energy Minimization (FEMEM) has emerged as an alternative framework based on direct minimization of the total potential energy of structural systems. This paper presents a comprehensive state of the art review of FEMEM in structural analysis. The theoretical background of FEMEM is discussed together with its fundamental differences fromclassical matrix-based FEM formulations. Existing FEMEM applications on trusses, cable networks, plane-stress and plane-strain systems, and three-dimensional continuum structures are reviewed to demonstrate the capabilities of the method in solving highly nonlinear structural problems. Particular emphasis is placed on tensegrity structures asrepresentative examples of complex nonlinear systems. These examples demonstrate the effectiveness of FEMEM in capturing large displacements, prestressing effects, nonlinear material behavior, and multiple stable equilibrium states without requiring specialized nonlinear iterative formulations commonly employed in traditional FEM approaches. The findings indicate that FEMEM provides a robust and flexible computational framework for advanced structural analysis and shows strong potential for future applications in adaptive, deployable, and intelligent structural systems.