Abstract
This paper reports a simplified technique for solving the equations of the force denisty method to obtain the initial forces in cable domes. A group matrix method is put forward to greatly reduce the number of equations. Both cases of neglecting and considering self-weight are demonstrated in the initial force determination for different types of cable dome. The numerical investigations of the study show that the method raises calculation efficiency for initial force determination in cable domes of the circular and rectangular Geiger type with and without an inner ring, the Levy type, the sunflower type with and without an inner ring and the birds' nest type. In addition, in relation to the calculation of the initial forces in cable dome of the rectangular Geiger type with an inner ring, the identification and processing of redundant equations is reported in the paper.
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