Modeling of Impact in Multibody Systems: An Overview

[1]  A. Love.  A treatise on the mathematical theory of elasticity , 1892 .

[2]  W. Goldsmith,et al.  Impact: the theory and physical behaviour of colliding solids. , 1960 .

[3]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 1: Formation of Dynamic Model , 1971 .

[4]  L. Shampine,et al.  Numerical Solution of Ordinary Differential Equations. , 1995 .

[5]  Ferdinand Freudenstein,et al.  Dynamic Analysis of Mechanical Systems With Clearances—Part 2: Dynamic Response , 1971 .

[6]  K. H. Hunt,et al.  Coefficient of Restitution Interpreted as Damping in Vibroimpact , 1975 .

[7]  M. A. Townsend,et al.  Impact Spectra and Intensities for High-Speed Mechanisms , 1975 .

[8]  K. Graff.  Wave Motion in Elastic Solids , 1975 .

[9]  S. Dubowsky,et al.  Design and Analysis of Multilink Flexible Mechanisms With Multiple Clearance Connections , 1977 .

[10]  Steven Dubowsky,et al.  An experimental and analytical study of impact forces in elastic mechanical systems with clearances , 1978 .

[11]  R. S Haines,et al.  Survey: 2-dimensional motion and impact at revolute joints , 1980 .

[12]  E. Haug,et al.  Generalized Coordinate Partitioning in Dynamic Analysis of Mechanical Systems , 1981 .

[13]  E. Haug,et al.  Dynamic Analysis of Mechanical Systems With Intermittent Motion , 1982 .

[14]  Lothar Späth,et al.  A New Look at an Old Problem , 1986 .

[15]  A. Shabana,et al.  DYNAMICS OF MULTIBODY SYSTEMS WITH VARIABLE KINEMATIC STRUCTURE. , 1986 .

[16]  J. Keller.  Impact With Friction , 1986 .

[17]  John F. Canny,et al.  Collision Detection for Moving Polyhedra , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  Existence theorems for optimal control and calculus of variations problems where the states can jump , 1986 .

[19]  A. Shabana,et al.  Dynamic Analysis of Constrained System of Rigid and Flexible Bodies With Intermittent Motion , 1986 .

[20]  Ahmed A. Shabana,et al.  Impact responses of multi-body systems with consistent and lumped masses , 1986 .

[21]  Ahmed A. Shabana,et al.  A continuous force model for the impact analysis of flexible multibody systems , 1987 .

[22]  Steven Dubowsky,et al.  The Dynamic Modeling of Flexible Spatial Machine Systems With Clearance Connections , 1987 .

[23]  Ahmed A. Shabana,et al.  Lumped and Consistent Masses for Impact-Induced Wave Problems in Constrained Flexible Systems , 1987 .

[24]  V. Drenovac.  A method for the numerical integration of mechanical systems with unilateral constraints: study of impact in multibody systems , 1987 .

[25]  A. A. Shabana,et al.  Vibration Control of Flexible Multibody Aircraft During Touchdown Impacts , 1987 .

[26]  A. Shabana,et al.  Impulsive motion of non-holonomic deformable multibody systems Part I: Kinematic and dynamic equations , 1988 .

[27]  Ahmed A. Shabana,et al.  Impulsive motion of non-holonomic deformable multibody systems Part II: Impact analysis , 1988 .

[28]  Ahmed A. Shabana,et al.  Spatial dynamics of deformable multibody systems with variable kinematic structure. Part 2. Velocity transformation , 1989 .

[29]  A. G. Ulsoy,et al.  Dynamics of a Radially Rotating Beam With Impact, Part 2: Experimental and Simulation Results , 1989 .

[30]  Hamid M. Lankarani,et al.  A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems , 1989 .

[31]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[32]  A. G. Ulsoy,et al.  Dynamics of a Radially Rotating Beam With Impact, Part 1: Theoretical and Computational Model , 1989 .

[33]  Brian S. Thompson,et al.  A Theoretical and Experimental Investigation of the Dynamic Response of a Slider-Crank Mechanism With Radial Clearance in the Gudgeon-Pin Joint , 1990 .

[34]  A. Shabana,et al.  Effect of Finite Rotation on the Propagation of Elastic Waves in Constrained Mechanical Systems , 1990 .

[35]  Ahmed A. Shabana,et al.  Spatial Dynamics of Deformable Multibody Systems With Variable Kinematic Structure: Part 1—Dynamic Model , 1990 .

[36]  A. Shabana,et al.  On the Use of the Momentum Balance in the Impact Analysis of Constrained Elastic Systems , 1990 .

[37]  Alan H. Barr,et al.  Geometric collisions for time-dependent parametric surfaces , 1990, SIGGRAPH.

[38]  M. Ghazavi,et al.  A theoretical and experimental study of the dynamics of a four-bar chain with bearing clearance: Pin motion, contact loss and impact , 1991 .

[39]  J. C. Simo,et al.  Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum , 1991 .

[40]  A. Shabana,et al.  Use of the Generalized Impulse Momentum Equations in Analysis of Wave Propagation , 1991 .

[41]  R. Brach,et al.  Mechanical Impact Dynamics: Rigid Body Collisions , 1991 .

[42]  A. Shabana,et al.  On the use of momentum balance and the assumed modes method in transverse impact problems , 1992 .

[43]  M. T. Mason,et al.  Two-Dimensional Rigid-Body Collisions With Friction , 1992 .

[44]  P. Nikravesh,et al.  Canonical Impulse-Momentum Equations for Impact Analysis of Multibody Systems , 1992 .

[45]  A. P. Ivanov.  Energetics of a collision with friction , 1992 .

[46]  A. Shabana,et al.  Propagation of Impact-Induced Longitudinal Waves in Mechanical Systems With Variable Kinematic Structure , 1993 .

[47]  A. Shabana,et al.  Finite Element Analysis Of Impact-Induced Transverse Waves In Rotating Beams , 1993 .

[48]  Abul K. Azad,et al.  SENSITIVITY STUDY OF CRITERIA GOVERNING COLLAPSE OF CENTRALLY LOADED R/C SLABS , 1993 .

[49]  J. Jaeger,et al.  Oblique impact of similar bodies with circular contact , 1994 .

[50]  Y. Khulief.  SUDDEN IMPOSITION OF A MASSLESS-LINK CONSTRAINT IN MULTIBODY SYSTEMS WITH STRUCTURAL COMPONENTS , 1994 .

[51]  Hamid M. Lankarani,et al.  Continuous contact force models for impact analysis in multibody systems , 1994, Nonlinear Dynamics.

[52]  A. Shabana,et al.  Effect of mass capture on the propogation of transverse waves in rotating beams , 1995 .

[53]  Dinesh Manocha,et al.  Incremental algorithms for collision detection between solid models , 1995, Symposium on Solid Modeling and Applications.

[54]  Ahmet S. Yigit.  On the Use of an Elastic-Plastic Contact Law for the Impact of a Single Flexible Link , 1995 .

[55]  Y. Hurmuzlu,et al.  Three-dimensional rigid-body collisions with multiple contact points , 1995 .

[56]  A. Ivanov.  On multiple impact , 1995 .

[57]  F. Pfeiffer,et al.  Multiple impacts with friction in rigid multibody systems , 1995 .

[58]  D. Stewart,et al.  AN IMPLICIT TIME-STEPPING SCHEME FOR RIGID BODY DYNAMICS WITH INELASTIC COLLISIONS AND COULOMB FRICTION , 1996 .

[59]  A. Akay,et al.  Dynamic response of a revolute joint with clearance , 1996 .

[60]  Philip M. Hubbard,et al.  Approximating polyhedra with spheres for time-critical collision detection , 1996, TOGS.

[61]  Ahmed A. Shabana,et al.  Flexible Multibody Dynamics: Review of Past and Recent Developments , 1997 .

[62]  T. Nettleton,et al.  Advanced Engineering Dynamics , 1997 .

[63]  A. Ruina,et al.  Two Interpretations of Rigidity in Rigid-Body Collisions , 1998 .

[64]  Ahmet S. Yigit,et al.  EFFECT OF FLEXIBILITY ON LOW VELOCITY IMPACT RESPONSE , 1998 .

[65]  A. Ruina,et al.  A New Algebraic Rigid-Body Collision Law Based on Impulse Space Considerations , 1998 .

[66]  A. Yigit,et al.  The Efficacy of the Momentum Balance Method in Transverse Impact Problems , 1998 .

[67]  Jaime Domínguez,et al.  A CRITICAL STUDY OF THE USE OF THE GENERALIZED IMPULSE–MOMENTUM BALANCE EQUATIONS IN FLEXIBLE MULTIBODY SYSTEMS , 1998 .

[68]  Bernd Simeon,et al.  Order reduction of stiff solvers at elastic multibody systems , 1998 .

[69]  Peter Ravn,et al.  A Continuous Analysis Method for Planar Multibody Systems with Joint Clearance , 1998 .

[70]  Reinhold von Schwerin.  MultiBody System SIMulation - Numerical Methods, Algorithms, and Software , 1999, Lecture Notes in Computational Science and Engineering.

[71]  J. Marsden,et al.  Symplectic-energy-momentum preserving variational integrators , 1999 .

[72]  J. Moreau.  Numerical aspects of the sweeping process , 1999 .

[73]  Hamid M. Lankarani,et al.  A Poisson-Based Formulation for Frictional Impact Analysis of Multibody Mechanical Systems With Open or Closed Kinematic Chains , 2000 .

[74]  Y. A. Khulief,et al.  Spatial Formulation of Elastic Multibody Systems with Impulsive Constraints , 2000 .

[75]  Olivier A. Bauchau,et al.  Analysis of Flexible Multibody Systems with Intermittent Contacts , 2000 .

[76]  J. Marsden,et al.  Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems , 2000 .

[77]  Y. Khulief.  Dynamic Response Calculation of Spatial Elastic Multibody Systems with High-Frequency Excitation , 2001 .

[78]  Olivier A. Bauchau,et al.  Modeling of joints with clearance in flexible multibody systems , 2001 .

[79]  O. Janin,et al.  Comparison of several numerical methods for mechanical systems with impacts , 2001 .

[80]  M. Géradin,et al.  Flexible Multibody Dynamics: A Finite Element Approach , 2001 .

[81]  Yildirim Hurmuzlu,et al.  A New Look at an Old Problem: Newton’s Cradle , 2001 .

[82]  R. J. Rogers,et al.  An Experimental Study of Friction During Planar Elastic Impact , 2001 .

[83]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[84]  L. Vu-Quoc,et al.  Modeling the dependence of the coefficient of restitution on the impact velocity in elasto-plastic collisions , 2002 .

[85]  On the Use of the Restitution Condition in Flexible Body Dynamics , 2002 .

[86]  Arend L. Schwab,et al.  A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems , 2002 .

[87]  Inna Sharf,et al.  Literature survey of contact dynamics modelling , 2002 .

[88]  Chung-Jen Lu,et al.  Coefficients of Restitution Based on a Fractal Surface Model , 2003 .

[89]  C. Thornton,et al.  Rebound behaviour of spheres for plastic impacts , 2003 .

[90]  D. Marghitu,et al.  Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance , 2003 .

[91]  Jerrold E. Marsden,et al.  Nonsmooth Lagrangian Mechanics and Variational Collision Integrators , 2003, SIAM J. Appl. Dyn. Syst..

[92]  Jaime Domínguez,et al.  Reference motion in deformable bodies under rigid body motion and vibration. Part II: evaluation of the coefficient of restitution for impacts , 2003 .

[93]  Anping Guo,et al.  Substructure Analysis of a Flexible System Contact-Impact Event , 2004 .

[94]  Jonas A. Zukas,et al.  Introduction to Hydrocodes , 2004 .

[95]  D. Dane Quinn.  Finite Duration Impacts With External Forces , 2005 .

[96]  F. Amirouche.  Fundamentals Of Multibody Dynamics. Theory And Applications , 2005 .

[97]  Jorge Angeles,et al.  Impact dynamics of flexible-joint robots , 2005 .

[98]  S. Goyal,et al.  Simulation of dynamics of interacting rigid bodies including friction I: General problem and contact model , 1994, Engineering with Computers.

[99]  Suresh Goyal,et al.  Simulation of dynamics of interacting rigid bodies including friction II: Software system design and implementation , 2005, Engineering with Computers.

[100]  Jorge Ambrósio,et al.  A study on dynamics of mechanical systems including joints with clearance and lubrication , 2006 .

[101]  Peter Eberhard,et al.  Elastoplastic phenomena in multibody impact dynamics , 2006 .

[102]  R. Rockafellar,et al.  Nonsmooth Mechanics and Analysis , 2006 .

[103]  Mihai Dupac,et al.  Nonlinear dynamics of a flexible mechanism with impact , 2006 .

[104]  R. Rockafellar,et al.  Nonsmooth mechanics and analysis : theoretical and numerical advances , 2006 .

[105]  Ke Zhang,et al.  Normal Force-Displacement Relationship of Spherical Joints With Clearances , 2006 .

[106]  J. Angeles,et al.  Energy Analysis and Decoupling in Three-Dimensional Impacts of Multibody Systems , 2007 .

[107]  Peter Eberhard,et al.  Simulative and experimental investigation of impacts on gear wheels , 2008 .

[108]  P. Qiao,et al.  Impact Mechanics and High-Energy Absorbing Materials: Review , 2008 .

[109]  Shirley Abelman,et al.  Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations , 2008, Comput. Math. Appl..

[110]  Dag Fritzson,et al.  Visualisation and data representation for large scale multibody simulations with detailed contact analysis: A case study , 2009, Simul. Model. Pract. Theory.

[111]  Paulo Flores,et al.  Modeling and simulation of wear in revolute clearance joints in multibody systems , 2009 .

[112]  Peter Eberhard,et al.  The role of the coefficient of restitution on impact problems in multi-body dynamics , 2010 .

[113]  Carlo L. Bottasso.  Multibody dynamics : computational methods and applications , 2010 .

[114]  Radek Kolman,et al.  Dispersion of elastic waves in the contact-impact problem of a long cylinder , 2010, J. Comput. Appl. Math..

[115]  E. Hairer,et al.  Solving Ordinary Differential Equations II , 2010 .

[116]  A LINEAR APPROACH FOR MULTIPLE-POINT IMPACT IN MULTIBODY SYSTEMS , 2011 .

[117]  Correlation Between Impulse and Compliance Based Methods in Rigid Body Collisions , 2011 .

[118]  A. Yigit,et al.  A nonlinear visco-elastoplastic impact model and the coefficient of restitution , 2011 .

[119]  Yang Zhao,et al.  Dynamics analysis of space robot manipulator with joint clearance , 2011 .

[120]  Alexandre Carbonelli,et al.  Investigation of Restitution Coefficient and Spring-Damper Models for the Bouncing Ball Problem , 2011 .

[121]  S. M. Megahed,et al.  Analysis of the Dynamic Behavioral Performance of Mechanical Systems With Multi–Clearance Joints , 2012 .