- Tytuł:
- Modified laplace based variational iteration method for the mechanical vibrations and its applications
- Autorzy:
-
Rehman, Shahida
Hussain, Akhtar
Rahman, Jamshaid Ul
Anjum, Naveed
Munir, Taj - Powiązania:
- https://bibliotekanauki.pl/articles/2106003.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
variational iterative method
nonlinear oscillator
Laplace transform - Opis:
- In this paper, we are putting forward the periodic solution of non-linear oscillators by means of variational iterative method (VIM) using Laplace transform. Here, we present a comparative study of the new technique based on Laplace transform and the previous tech-niques of maximum minimum approach (MMA) and amplitude frequency formulation (AFF) for the analytical results. For the non-linear oscillators, MMA, AFF and VIM by Laplace transform give the same analytical results. Comparison of analytical results of VIM by Laplace transform with numerical results by fourth-order Runge–Kutta (RK) method conforms the soundness of the method for solving non-linear oscillators as well as for the time and boundary conditions of the non-linear oscillators.
- Źródło:
-
Acta Mechanica et Automatica; 2022, 16, 2; 98--102
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł