- Tytuł:
- Collocation method based on barycentric interpolation iteration for analysis of nonlinear microbeams
- Autorzy:
-
Zhuang, M.
Miao, C.
Wang, Z. - Powiązania:
- https://bibliotekanauki.pl/articles/279890.pdf
- Data publikacji:
- 2018
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
nonlinear microbeams
barycentric Lagrange interpolation
collocation method
linearization method
iteration method - Opis:
- A powerful computational methodology, named the barycentric Lagrange interpolation iteration collocation method (BLIICM), for solving nonlinear bending problems of a doubly clamped microbeam under electrostatic loads is presented. The nonlinear governing equation of the microbeam is converted into a linear differential equation by assuming the initial function. The barycentric Lagrange interpolation collocation method (BLICM) is used to solve the linear differential equation. The direct linearization formulations and Newton linearization calculation formulations for the nonlinear differential equation have been given. The calculation method and formulation of the nonlinear integral term have been discussed in details. By applying a barycentric Lagrange interpolation differential matrix, a matrix-vector calculation formula of BLIICM has been established. Numerical results of calculation examples show that the advantages of the proposed methodology are efficient, simple and of high precision.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2018, 56, 3; 741-749
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł