TY  - JOUR
  - 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
  - ()
  - 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
DA  - 2011/03
ER  - 

@article{V115950069,
   = {Guangbo Hao,  Xianwen Kong and  Robert L. Reuben },
   = {2011},
   = {March},
   = {Mechanism and Machine Theory},
   = {A Nonlinear Analysis of Spatial Compliant Parallel Modules: Multi-Beam Modules},
   = {Published},
   = {()},
   = {nonlinear analysis; compliant mechanisms; spatial modules},
   = {46},
   = {5},
  pages = {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},
  source = {IRIS}
}