“…where S f and S d are the force and displacement sensitivity matrices (Senatore et al, 2019). In this work, S f and S d are computed using a force method based on singular value decomposition of the equilibrium matrix (Pellegrino, 1993;Luo and Lu, 2006;Yuan et al, 2016). Once the force and displacement sensitivity matrices are known, φ −1 is formulated as a constrained minimization of the difference between the controlled ( d c , f c ) and optimal configuration d t , f t :…”