]> A Practical Guide to Tensegrity Design: 6.2.5 Dome Step 5: Compute the dome

6.2.5 Dome Step 5: Compute the dome

As usual, the structure is computed by minimizing a weighted combination of the interlayer and binding tendons subject to constraints on the struts and convergence tendons. The big difference is the base points are kept fixed. In addition to providing the benefits mentioned previously, fixing these points also makes the structure mathematically determinate.

Two initial iterations are done using the penalty formulation μ= 105 in conjunction with Fletcher-Reeves to bring the initial points into approximate conformance with the constraints. The source of the initial non-conformity with the constraints is the adjustment of the base points that is done in Step 3. After this three iterations are done with the exact formulation in conjunction with Fletcher-Reeves to bring the values to convergence. The derivatives of the objective function with respect to the independent coordinate values are all less than 10-5.