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A Unified Theory of Structure, Synthesis and Analysis of Multibody Mechanical Systems with Geometrical, Flexible and Dynamic Connections. Part 2. Limiting Theorems and Existence Areas

This paper examines a family of limiting structural and topological theorems complemented by two well-known Gruebler theorems that can be used for determining the limiting areas of existence of possible multibody mechanisms. All the multiloop linkage, cam and gear mechanisms synthesized using the proposed unified theory have the optimal structure without redundant constraints and uncontrolled movements.