Abstract
A certain geometrical relation holds for a given number of structural points before, during and after deformation of a structure when the structure is designed to realize homologous deformation. The realization of such a homologous deformation is effective to enhance precise function of the structure and to mitigate laborious toil of structural control. This paper presents a new formulation to determine the structural parameters for realizing the homologous deformation. The structure is discretized by finite elements, and a modified stiffness matrix in rectangular form is derived based on the constraint matrix describing the homologous deformation. The Moore-Penrose generalized inverse is employed to treat the rectangular matrix. The proposed method is verified valid by numerical examples concerned with a planar lattice structure.
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