A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method | Zendy

Ivo Senjanović | Zendy; Nikola Vladimir | Zendy; DaeSeung Cho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method

Author(s) -

Ivo Senjanović,

Nikola Vladimir,

DaeSeung Cho

Publication year - 2012

Publication title -

international journal of naval architecture and ocean engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.047

H-Index - 26

eISSN - 2092-6790

pISSN - 2092-6782

DOI - 10.2478/ijnaoe-2013-0099

Subject(s) - direct stiffness method , stiffness , stiffness matrix , tangent stiffness matrix , mass matrix , deflection (physics) , finite element method , matrix (chemical analysis) , vibration , structural engineering , mathematical analysis , buckling , geometry , mathematics , engineering , materials science , physics , classical mechanics , composite material , quantum mechanics , nuclear physics , neutrino

Vibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees of freedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analysed with consistent geometric stiffness matrix or geometric stiffness matrix with lumped buckling load, related only to the rotational d.o.f. Recently, the simplified mass matrix is constructed employing shape functions of in-plane displacements for plate deflection. In this paper the same approach is used for construction of simplified geometric stiffness matrix. Beam element, and triangular and rectangular plate element are considered. Application of the new geometric stiffness is illustrated in the case of simply supported beam and square plate. The same problems are solved with consistent and lumped geometric stiffness matrix, and the obtained results are compared with the analytical solution. Also, a combination of simplified and lumped geometric stiffness matrix is analysed in order to increase accuracy of stability analysis

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research