Abstract
A method is presented for analysis and design of mechanisms consisting of frames with partially rigid connections. Equilibrium equation is formulated with respect to the reduced vector of member-end forces, for which linear conditions are assigned. The modes of self-equilibrium forces and unstable mechanisms are found using singular value decomposition of the matrix consisting of equilibrium and constraints. A link mechanism with one-degree of kinematic indeterminacy can be found using limit analysis for an artificial proportional loading condition. The effectiveness of proposed method is demonstrated through examples of frames with a hexagonal grid.
