Open AccessTHE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS
Author(s) -
Vladimir Lalin,
Huu Hao Ngo
Publication year - 2022
Publication title -
international journal for computational civil and structural engineering
Language(s) - English
Resource type - Journals
eISSN - 2588-0195
pISSN - 2587-9618
DOI - 10.22337/2587-9618-2021-18-1-72-81
Subject(s) - statically indeterminate , compatibility (geochemistry) , flexibility method , transpose , mathematics , matrix representation , indeterminate , computer science , algorithm , finite element method , structural engineering , pure mathematics , engineering , eigenvalues and eigenvectors , physics , chemistry , organic chemistry , quantum mechanics , chemical engineering , group (periodic table)
This work deals with the loop resultant method applied to linear static response of statically indeterminate rod-systems. The method uses the representation of this system in the form of a union of statically indeterminate loops. An algorithm for construction the flexibility matrix of the system is proposed. The unknowns of a system are the loop resultants. This method is based on the use of compatibility equations of deformations, the general solution of homogeneous equations of equilibrium is obtained by transposition of the compatibility matrix. The advantages of this method are the number and location of zero blocks and non-zero blocks of the system flexibility matrix depend only on the numbering of loops. Application of this method is considered for analysis of structural frame.