Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Journal of Theoretical and Applied Mechanics

1 2018

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: barycentric Lagrange interpolation

Sortuj według:

Ogranicz wyniki do:

Collocation method based on barycentric interpolation iteration for analysis of nonlinear microbeams

Zhuang M., Miao C., Wang Z.

Journal of Theoretical and Applied Mechanics

2018

Vol. 56 nr 3

741--749

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.