engleski

FORCE DENSITY METHOD – BEYOND SIMPLE ITERATIONS

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 NewtonRaphson 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.

form finding, cable-net, force density method, unstrained length, time reduction

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