Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT). Part II: Practice

A normalization-based approach to the mobility analysis of spatial compliant multi-beam modules

“…(17), it is shown that under relatively large d (e.g. d ≥10000), the spatial double TBM is still a 3-DOF CPM, but it has half primary stiffness of a spatial TBM.…”

“…B.1. This module, proposed in [17] as a rotational joint, is composed of four non-tilted sheets in parallel. Here, the neutral surface of each sheet, associated with the bending about the central axis parallel to the long side of its cross-section, passes the central axis of this module.…”

“…References [12,13] proposed an eigenscrew-based method to determine the DOF or compliance of compliant mechanisms. In addition, the constraint-based design approach (CBDA) [14], the screw theory based approach (STBA) [15] and the freedom and constraint topology approach (FACT) [16,17] have been proposed to analyze the DOF and/or DOC of compliant mechanisms. Different from the CBDA, the STBA uses the mathematical expressions to represent the CBDA, and the FACT employs the geometric figures to visualize the CBDA.…”

A nonlinear analysis of spatial compliant parallel modules: Multi-beam modules

“…Compared to lumped compliant joints, distributed compliant joints can produce a large range of motion as well as a reduced stress concentration, and their elastic averaging can permit inexact constraint designs. There are three main approaches to design of compliant mechanisms: (a) Pseudo-Rigid-Body-Model synthesis methods [9][10][11], (b) Continuum Structure Optimization methods [12][13][14], and (c) innovative design methods such as the constraint-based design approach [15][16], the building block approach [17], the screw theory based approach and the freedom and constraint topology approach [18][19][20].…”

Conceptual designs of multi-degree of freedom compliant parallel manipulators composed of wire-beam based compliant mechanisms

“…For example, a number of synthesis works for WBBCMs have been reported in [25][26][27][28][29][30][31], spatial 3-DOF translational compliant parallel manipulators only composed of identical WBBCMs have been proposed in [32,33], and nonlinear analysis/modelling has been carried out for WBBCMs in [34,35]. In comparison with the leaf-beam based distributed-compliance compliant mechanisms, the WBBCMs benefit from the following potential merits:…”