A brief review on nonlinear modeling methods and applications of compliant mechanisms

Compliant mechanisms (CMs) have become one of the most popular research themes in mechanisms and robotics because of their merits. This paper aims to provide a brief systematic review on the advances of nonlinear static modeling approaches and the applications of CMs to promote interdisciplinary/multidisciplinary development for associated theories and other new applications. It also predicts likely future directions of applications and theory development.

[1]  Xianwen Kong,et al.  A nonlinear analysis of spatial compliant parallel modules: Multi-beam modules , 2011 .

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

[3]  Larry L Howell,et al.  A self-reconfiguring metamorphic nanoinjector for injection into mouse zygotes. , 2014, The Review of scientific instruments.

[4]  Robert M. Panas,et al.  Eliminating Parasitic Error in Dynamically Driven Flexure Systems , 2013 .

[5]  Charles Kim,et al.  Curve Decomposition for Large Deflection Analysis of Fixed-Guided Beams With Application to Statically Balanced Compliant Mechanisms , 2012 .

[6]  Khalid Alblalaihid,et al.  Variable stiffness probing systems for micro-coordinate measuring machines , 2016 .

[7]  David J. Wagg,et al.  A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation , 2013 .

[8]  B. Jensen,et al.  Modeling and Experiments of Buckling Modes and Deflection of Fixed-Guided Beams in Compliant Mechanisms , 2011 .

[9]  Larry L. Howell,et al.  Handbook of Compliant Mechanisms: Howell/Handbook , 2013 .

[10]  Lionel Birglen,et al.  Design of an Underactuated Compliant Gripper for Surgery Using Nitinol , 2009 .

[11]  Chang Li,et al.  Design and Fabrication of a Soft Robotic Hand With Embedded Actuators and Sensors , 2015 .

[12]  Larry L. Howell,et al.  Monolithic 2 DOF fully compliant space pointing mechanism , 2013 .

[13]  Guimin Chen,et al.  Modeling Large Spatial Deflections of Slender Bisymmetric Beams in Compliant Mechanisms Using Chained Spatial-Beam Constraint Model , 2015 .

[14]  Shorya Awtar,et al.  Elastic Averaging in Flexure Mechanisms: A Three-Beam Parallelogram Flexure Case Study , 2006 .

[15]  Hai-Jun Su,et al.  A parameter optimization framework for determining the pseudo-rigid-body model of cantilever-beams , 2015 .

[16]  Alexander H. Slocum,et al.  Design of an Ankle Rehabilitation Device Using Compliant Mechanisms , 2011 .

[17]  Shorya Awtar,et al.  Characteristics of Beam-Based Flexure Modules , 2007 .

[18]  Guangbo Hao,et al.  Extended Static Modeling and Analysis of Compliant Compound Parallelogram Mechanisms Considering the Initial Internal Axial Force , 2016 .

[19]  Jonathan B. Hopkins,et al.  Designing Microstructural Architectures With Thermally Actuated Properties Using Freedom, Actuation, and Constraint Topologies , 2013 .

[20]  Zhen Gao,et al.  Design, analysis and fabrication of a multidimensional acceleration sensor based on fully decoupled compliant parallel mechanism , 2010 .

[21]  Shorya Awtar,et al.  FlexDex™: A Minimally Invasive Surgical Tool With Enhanced Dexterity and Intuitive Control , 2010 .

[22]  Shorya Awtar,et al.  An XYZ Parallel Kinematic Flexure Mechanism With Geometrically Decoupled Degrees of Freedom , 2011 .

[23]  Larry L. Howell,et al.  Handbook of compliant mechanisms , 2013 .

[24]  V. Bright,et al.  Modeling of thermal actuation in a bulk-micromachined CMOS micromirror , 2000 .

[25]  Jaehong Lee,et al.  Compliant cellular materials with compliant porous structures: A mechanism based materials design , 2014 .

[26]  Pankaj Chopra,et al.  Large range dual-axis micro-stage driven by electrostatic comb-drive actuators , 2013 .

[27]  Debasish Roy,et al.  Techniques based on genetic algorithms for large deflection analysis of beams , 2004 .

[28]  Just L. Herder,et al.  Bistable vibration energy harvesters: A review , 2013 .

[29]  Shorya Awtar,et al.  A Generalized Constraint Model for Two-Dimensional Beam Flexures: Nonlinear Load-Displacement Formulation , 2010 .

[30]  Stephen M. Schultz,et al.  Plastic latching accelerometer based on bistable compliant mechanisms , 2007 .

[31]  Qingsong Xu,et al.  Design, Fabrication, and Testing of an MEMS Microgripper With Dual-Axis Force Sensor , 2015, IEEE Sensors Journal.

[32]  Wenjie Chen,et al.  A parallel alignment device with dynamic force compensation for nanoimprint lithography. , 2014, The Review of scientific instruments.

[33]  Gao Feng,et al.  Design and analysis of a novel isotropic six-component force/torque sensor , 2003 .

[34]  Zhenguo Li,et al.  Design and Experimental Testing of an Improved Large-Range Decoupled XY Compliant Parallel Micromanipulator , 2015 .

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

[36]  Javad Dargahi,et al.  Design and development of a new piezoelectric linear Inchworm actuator , 2005 .

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

[38]  Daniel L. Wilcox,et al.  Fully compliant tensural bistable micromechanisms (FTBM) , 2005, Journal of Microelectromechanical Systems.

[39]  Fulei Ma,et al.  Modeling Large Planar Deflections of Flexible Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model , 2016 .

[40]  Nicolae Lobontiu,et al.  Compliant Mechanisms: Design of Flexure Hinges , 2002 .

[41]  Stuart T. Smith,et al.  Flexures: Elements of Elastic Mechanisms , 2000 .

[42]  Guimin Chen,et al.  Kinetostatic Modeling of Fully Compliant Bistable Mechanisms Using Timoshenko Beam Constraint Model , 2015 .

[43]  S Kota,et al.  Design and application of compliant mechanisms for surgical tools. , 2005, Journal of biomechanical engineering.

[44]  Just L. Herder,et al.  Comparison of Methods for Large Deflection Analysis of a Cantilever Beam Under Free End Point Load Cases , 2009 .

[45]  Ming Chang,et al.  Design of a Compliant Micromechanism for Optical-Fiber Alignment , 2008 .

[46]  Paul K. Hansma,et al.  Design and input-shaping control of a novel scanner for high-speed atomic force microscopy , 2008 .

[47]  Guimin Chen,et al.  Fully-compliant statically-balanced mechanisms without prestressing assembly: concepts and case studies , 2011 .

[48]  Stephen A. Billings,et al.  Suppressing Resonant Vibrations Using Nonlinear Springs and Dampers , 2009 .

[49]  Shorya Awtar,et al.  A Generalized Constraint Model for Two-Dimensional Beam Flexures: Nonlinear Strain Energy Formulation , 2010 .

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

[51]  J. Gorman,et al.  Large Stroke Electrostatic Comb-Drive Actuators Enabled by a Novel Flexure Mechanism , 2013, Journal of Microelectromechanical Systems.

[52]  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 .

[53]  Xianwen Kong,et al.  Nonlinear analytical modeling and characteristic analysis of symmetrical wire beam based composite compliant parallel modules for planar motion , 2014 .

[54]  Xiaoyuan Liu,et al.  Elliptical-Arc-Fillet Flexure Hinges: Toward a Generalized Model for Commonly Used Flexure Hinges , 2011 .

[55]  Shorya Awtar,et al.  Constraint-based design of parallel kinematic XY flexure mechanisms , 2007 .

[56]  Spencer P. Magleby,et al.  Compliant space mechanisms: a new frontier for compliant mechanisms , 2011 .

[57]  Shusheng Bi,et al.  A Novel Family of Leaf-Type Compliant Joints: Combination of Two Isosceles-Trapezoidal Flexural Pivots , 2009 .

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

[59]  Jian Zhao,et al.  Post-buckling and Snap-Through Behavior of Inclined Slender Beams , 2008 .

[60]  Larry L. Howell,et al.  Facilitating Deployable Mechanisms and Structures Via Developable Lamina Emergent Arrays , 2016 .

[61]  Shorya Awtar,et al.  A Closed-Form Nonlinear Model for the Constraint Characteristics of Symmetric Spatial Beams , 2013 .

[62]  H. Su,et al.  DNA origami compliant nanostructures with tunable mechanical properties. , 2014, ACS nano.

[63]  D. Gweon,et al.  A new nano-accuracy AFM system for minimizing Abbe errors and the evaluation of its measuring uncertainty. , 2007, Ultramicroscopy.

[64]  Guangbo Hao,et al.  Nonlinear Analytical Modeling and Characteristic Analysis of a Class of Compound Multibeam Parallelogram Mechanisms , 2015 .

[65]  R. Lakes Foam Structures with a Negative Poisson's Ratio , 1987, Science.

[66]  Shorya Awtar,et al.  Nonlinear Strain Energy Formulation of a Generalized Bisymmetric Spatial Beam for Flexure Mechanism Analysis. , 2014, Journal of mechanical design.

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