A novel model of large deflection beams with combined end loads in compliant mechanisms

Abstract Based on the Pseudo-Rigid-Body Model (PRBM), a new model with three degrees of freedom is proposed for the large deflection beams with combined end loads in compliant mechanisms. The lateral and axial deflections of flexural beams are modeled using four rigid links connected by one prismatic (P) pair with a compression spring and two revolute (R) joints with torsion springs. The flexural cantilever beam subject to end force and moment loads is simulated by PRR pseudo-rigid-body model. The characteristic parameters of the PRR PRBM are determined via the optimization and numerical fitting techniques. Compared with the 2R, PR and 3R models, the new PRR PRBM shows the superiority in simulating the large deflection beams of compliant mechanisms through numerical examples.

[1]  Mary Frecker,et al.  Topological synthesis of compliant mechanisms using multi-criteria optimization , 1997 .

[2]  Larry L. Howell,et al.  Design of two-link, in-plane, bistable compliant micro-mechanisms , 1999 .

[3]  Sridhar Kota,et al.  Synthesis of Planar, Compliant Four-Bar Mechanisms for Compliant-Segment Motion Generation four-bar mechanisms treated in previous works consisted of at least one rigid , 2001 .

[4]  A. Banerjee,et al.  Large deflection of cantilever beams with geometric non-linearity: Analytical and numerical approaches , 2008 .

[5]  A. Midha,et al.  Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms , 1995 .

[6]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[7]  Larry L. Howell,et al.  On the Nomenclature, Classification, and Abstractions of Compliant Mechanisms , 1994 .

[8]  G. K. Ananthasuresh,et al.  On an optimal property of compliant topologies , 2000 .

[9]  Larry L. Howell,et al.  A Loop-Closure Theory for the Analysis and Synthesis of Compliant Mechanisms , 1996 .

[10]  Yueqing Yu New PR Pseudo-rigid-body Model of Compliant Mechanisms Subject to Combined Loads , 2013 .

[11]  Aimei Zhang,et al.  A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms , 2012 .

[12]  Guimin Chen,et al.  Finding the optimal characteristic parameters for 3R pseudo-rigid-body model using an improved particle swarm optimizer , 2011 .

[13]  Larry L. Howell,et al.  A Pseudo-Rigid-Body Model of the Human Spine to Predict Implant-Induced Changes on Motion , 2011 .

[14]  Sushrut G. Bapat,et al.  Analysis of a Fixed-Guided Compliant Beam With an Inflection Point Using the Pseudo-Rigid-Body Model Concept , 2012 .

[15]  G. K. Ananthasuresh,et al.  Design and Fabrication of Microelectromechanical Systems , 1994 .

[16]  L. Tsai,et al.  Modeling of Flexural Beams Subjected to Arbitrary End Loads , 2002 .

[17]  Yue-Qing Yu,et al.  A pseudo-rigid-body 2R model of flexural beam in compliant mechanisms , 2012 .

[18]  A. Midha,et al.  A Compliance Number Concept for Compliant Mechanisms, and Type Synthesis , 1987 .

[19]  Hai-Jun Su,et al.  A Pseudorigid-Body 3R Model for Determining Large Deflection of Cantilever Beams Subject to Tip Loads , 2009 .

[20]  Larry L. Howell,et al.  A Method for the Design of Compliant Mechanisms With Small-Length Flexural Pivots , 1994 .

[21]  Larry L. Howell,et al.  Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large-deflection compliant mechanisms , 1996 .

[22]  T. Hassard,et al.  Applied Linear Regression , 2005 .

[23]  Mark B. Colton,et al.  A PSEUDO-RIGID-BODY MODEL APPROACH FOR THE DESIGN OF COMPLIANT MECHANISM SPRINGS FOR PRESCRIBED FORCE-DEFLECTIONS , 2011 .

[24]  Anupam Saxena,et al.  A Simple and Accurate Method for Determining Large Deflections in Compliant Mechanisms Subjected to End Forces and Moments , 1998 .