Analisis Non-Linear Struktur Tensegrity Menggunakan Total Potential Energy Optimization With Metaheuristic Methods (Tpo/Ma)

Abstract

Total potential energy optimization with metaheuristic methods (TPO/MA) adalah metode analisis struktur yang berdasarkan pada prinsip energi minimum. Metode ini dapat melakukan analisis non-linear pada berbagai struktur tanpa modifikasi yang signifikan dalam prosesnya. Salah satu struktur yang bersifat sangat non-linear adalah struktur tensegrity. TPO/MA dengan tiga algoritma metaheuristik yaitu teaching–learning-based optimization (TLBO), harmony search (HS), dan symbiotic organisms search (SOS) diaplikasikan dalam analisis non-linear geometri pada struktur tensegrity dua dan tiga dimensi. Analisis struktur dilakukan dengan pemberian beban bertahap (incremental) untuk menghasilkan grafik load-displacement yang menunjukkan perilaku non-linear struktur. Hasil penelitian menunjukkan TPO/MA dapat melakukan analisis non-linear pada struktur tensegrity dengan akurasi dan konsistensi yang tinggi. TLBO dan SOS memiliki performa yang lebih baik dibandingkan HS dalam menyelesaikan analisis non-linear pada struktur tensegrity menggunakan TPO/MA.

A metaheuristic‐based method for analysis of tensegrity structures

“…There are static and kinematic uncertainties in the design of tensegrity structures 63,64 . The nonlinear behavior of these systems, which consists of compression and tension elements, complicates their structural analysis.…”

“…The nonlinear behavior of these systems, which consists of compression and tension elements, complicates their structural analysis. This nonlinear behavior of the elements makes the rigidity of tensegrity structures dependent on external forces and displacements 64,65 . The movement of tensegrity systems under external loads is directly related to the work done by the system and therefore the energy of the system.…”

“…There are static and kinematic uncertainties in the design of tensegrity structures. 63,64 The nonlinear behavior of these systems, which consists of compression and tension elements, complicates their structural analysis. This nonlinear behavior of the elements makes the rigidity of tensegrity structures dependent on external forces and displacements.…”

“…This nonlinear behavior of the elements makes the rigidity of tensegrity structures dependent on external forces and displacements. 64,65 The movement of tensegrity systems under external loads is directly related to the work done by the system and therefore the energy of the system. The total potential energy of the system plays an important role in making tensegrity structures rigid.…”

“…Minimizing the total potential energy for a more stable and rigid structure design facilitates the analysis of tensegrity structures in terms of a computational process compared with methods such as finite element and Eulerian-Lagrangian formulations. 64 In the calculation process of a three-dimensional tensegrity structure, the initial lengths of each element and the lengths of its deformed state are calculated. Equation (1) shows the initial length calculation of tensegrity elements, and Equation ( 2) shows the calculation of element lengths after deformation.…”