4 - Memorial University of Newfoundland DAI

The equation of motion for each element plus all the boundary paints
at connecting nodo. betw~cn each element were computer generated fmm
thcgmm~trieal and physical properties ofthe input data for each element or
mcmbcr as dopiclod in Figure 3.12. Ultimately, the quationaaf motion were
asscmblod by the computer into one equation repr-Ling thestructure, and
titc malyw were done. (All analyses were carried out with a special purpose
program compiled by tho author.)
It should be emphasized that since it would be difficult and very time
mnruming to obtain uaet nnirlytieal solutions for the strueture considered,
~numcrical analyses of the physical model, based on certain approximations,
nrc incorporated in the computer appmaeh.
3.6.2 Implementation of the Stick Model
h obtain n aiick model of the structure, it was first oeeessary to elect the
master DOP, ao the nodm chosen represented the expected global motion of
the structure. Since the structure did nd have any central nodes at each
horizontal level on the jdet (the most suitable position for a master node),
ono corner node was chase" fmm each level on the bmad side of the struc-
ture; that is, starting from level # 1 and proceeding in s aigaag manner to
lcvcl # 7. Therefore, the flexibility matricer of the marter and slave nodes
wore ablninod by applying unit loadds at the mmponding master DOF,
successively, in the global x direction, and static analyses were carried out
lo compute static displacements. There wen as many load cases a. mas-
ter DOF. The above procedure was accomplished wilh the m e computer
program used to malyse the 3-D modd of the structure.