Peer-Reviewed Journal Details
Mandatory Fields
Guangbo Hao, Xianwen Kong, Robert L. Reuben
2011
March
Mechanism and Machine Theory
A Nonlinear Analysis of Spatial Compliant Parallel Modules: Multi-Beam Modules
Published
()
Optional Fields
nonlinear analysis; compliant mechanisms; spatial modules
46
5
680
706

This paper presents normalized, nonlinear and analytical models of spatial compliant parallel modules: multi-beam modules with a large range of motion. The models address the nonlinearity of load-equilibrium equations, applied in the deformed configuration, under small deflection hypothesis. First, spatial nonlinear load-displacement equations of the tip of a beam, conditions of geometry compatibility and load-equilibrium conditions for a spatial three-beam module are derived. The nonlinear and analytical load-displacement equations for the three-beam module are then solved using three methods: approximate analytical method, improved analytical method and numerical method. The nonlinear-analytical solutions, linear solutions and large-deflection FEA solutions are further analyzed and compared. FEA verifies that the accuracy of the proposed nonlinear-analytical model is acceptable. Moreover, a class of multi-beam modules with four or more beams is proposed, and their general nonlinear load displacement equations are obtained based on the approximate load-displacement equations of the three-beam module. The proposed multi-beam modules and their nonlinear models have potential applications in the compliant mechanism design. Especially, the multi-beam modules can be regarded as building blocks of novel compliant parallel mechanisms.

http://hdl.handle.net/10468/717
10.1016/j.mechmachtheory.2010.12.007
Grant Details