Force density method - beyond simple iterations

Author(s): Elizabeta Šamec, Krešimir Fresl
Paper Category: proceedings
Book Title: Proceedings of the International Conference on Sustainable Materials,
Systems and Structures (SMSS2019)
Editor(s): Ivana Carević Stjepan Lakušić Dirk Schlicke
ISBN: 978-2-35158-217-6
e-ISBN: 978-2-35158-218-3
Publisher: RILEM Publications SARL
Publication Year: 2019
Pages: 44 - 45
Total Pages: 2
Language: English

Abstract: The idea of the PhD thesis is to propose an extension of iterative application of force density
method, originally used for design and internal force evaluation of tensile structures.
Improvements are aimed to be made in two directions i.e. to accelerate computation in order to
successfully implement this method into interactive structural design tool, as well as to enable
the user to influence the appearance of final solution in a more efficient manner. Reduction of
number of iteration steps, and consequently execution time, can be achieved by optimizing
accuracy for solving system of linear equations in each step. Further time reduction will be
explored by incorporating new solver into the extended algorithm. Performance of new versions

of the algorithm will be evaluated and processing time will be compared against Newton-
Raphson method. Focus of the thesis is also on the ability to assign undeformed lengths of

elements, in addition to force and length constraints from initial set up of the algorithm.
Proposed extension is aimed to be used for form finding of spatial truss structures in either
tension or compression.

Online Publication: 2019
Publication Type: full text
Public price(euros): 0.00