... m} and {ρρρρ11, t1ij, for i = 1, 2, …, n, j = 1, 2, …, m, and i < n when j = 1}.This section discusses the relationship between the q variables and the string and rod vectorstαβγ and ... Figures 18.5, 18.6, and 18.7 where (18.30) and for i = 1, 2, …, n, j = 1, 2, …,m we have (18.31)For j = 1 we replace t2ij withFor j = m we replace t6ij and t7ij withwhere and i + n = i. ... integration of structure and control design appears in Skelton 1,2 and Grigoriadis et al. 3 Bendsoe and others 4-7 optimize structures by beginning with a solid brick and deleting finiteelements...