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Original Articles

A Variational Approach to Dynamics of Flexible Multibody Systems

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Pages 3-32 | Received 01 Mar 1987, Published online: 17 Apr 2007

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Read on this site (9)

A. M. Chu, C. D. Nguyen, X. B. Duong, A. V. Nguyen, T. A. Nguyen, C. H. Le & Michael Packianather. (2022) A novel mathematical approach for finite element formulation of flexible robot dynamics. Mechanics Based Design of Structures and Machines 50:11, pages 3747-3767.
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Pravesh Kumar & Barun Pratiher. (2020) Modal analysis and dynamic responses of a rotating Cartesian manipulator with generic payload and asymmetric load. Mechanics Based Design of Structures and Machines 48:1, pages 48-67.
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W. Pan, S. Mao, E. J. Haug & D. Solis. (2003) Efficient Modal Approach for Flexible Multibody Dynamic Simulation. Mechanics Based Design of Structures and Machines 31:1, pages 1-23.
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W. Pan & E. J. Haug. (1999) Dynamic Simulation of General Flexible Multibody Systems∗ . Mechanics of Structures and Machines 27:2, pages 217-251.
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Sung-Min Hong & Youn-sik Park. (1999) Vibration Reduction of Flexible Manipulators Using Torque Wheels∗. Mechanics of Structures and Machines 27:1, pages 1-22.
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O. WALLRAPP. (1998) Flexible Bodies in Multibody System Codes. Vehicle System Dynamics 30:3-4, pages 237-256.
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Jeha Ryu, Sang-Sup Kim & Sung-Soo Kim. (1994) A General Approach to Stress Stiffening Effects on Flexible Multibody Dynamic Systems∗. Mechanics of Structures and Machines 22:2, pages 157-180.
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Sung-Soo Kim & EdwardJ. Haug. (1990) Selection of Deformation Modes for Flexible Multibody Dynamics. Mechanics of Structures and Machines 18:4, pages 565-586.
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R. S. Hwang & E. J. Haug. (1990) Translational Joints in Flexible Multi body Dynamics. Mechanics of Structures and Machines 18:4, pages 543-564.
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Articles from other publishers (39)

Jun-Geol Ahn, Jin-Gyun Kim & Hyun-Ik Yang. (2021) Interpolation multipoint constraints with selection criteria of degree of freedoms for flexible multibody dynamics. Applied Mathematics and Computation 409, pages 126361.
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Seongji Han, Jin-Gyun Kim, Juhwan Choi & Jin Hwan Choi. (2020) Iterative Coordinate Reduction Algorithm of Flexible Multibody Dynamics Using a Posteriori Eigenvalue Error Estimation. Applied Sciences 10:20, pages 7143.
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Hong-Seon Yun, Sung-Soo Kim, Chang Ho Lee & Hyung-Woo Kim. (2015) A Study on the Efficient Flexible Multibody Dynamics Modeling of Deep Seabed Integrated Mining System with Subsystem Synthesis Method. Transactions of the Korean Society of Mechanical Engineers A 39:12, pages 1213-1220.
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Yunn Lin Hwang & Jung Kuang Cheng. (2013) The Dynamic Analysis and Simulation of Electric Scooter. Applied Mechanics and Materials 479-480, pages 365-368.
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D. H. Bae, C. H. Lee & D. S. Bae. (2012) Non-linear flexible body analysis for mechanical systems. Journal of Mechanical Science and Technology 26:7, pages 2159-2162.
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Jörg Fehr & Peter Eberhard. (2010) Simulation process of flexible multibody systems with non-modal model order reduction techniques. Multibody System Dynamics 25:3, pages 313-334.
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T. Vampola & M. Valasek. (2007) Composite rigid body formalism for flexible multibody systems. Multibody System Dynamics 18:3, pages 413-433.
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Jin-Fan Liu, Jingzhou Yang & Karim Abdel-Malek. (2007) Dynamics analysis of linear elastic planar mechanisms. Multibody System Dynamics 17:1, pages 1-25.
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Liu Jinyang & Hong Jiazhen. (2005) Geometric nonlinear formulation and discretization method for a rectangular plate undergoing large overall motions. Mechanics Research Communications 32:5, pages 561-571.
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J.Y. Liu & J.Z. Hong. (2004) Geometric stiffening effect on rigid-flexible coupling dynamics of an elastic beam. Journal of Sound and Vibration 278:4-5, pages 1147-1162.
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Gene Hou & Yang Wang. (2004) A Substructuring Technique for Design Modifications of Interface Conditions. A Substructuring Technique for Design Modifications of Interface Conditions.
G. Gary Wang & Songqing Shan. Design Space Reduction for Multi-Objective Optimization and Robust Design Optimization Problems. Design Space Reduction for Multi-Objective Optimization and Robust Design Optimization Problems.
Tamer M Wasfy & Ahmed K Noor. (2003) Computational strategies for flexible multibody systems. Applied Mechanics Reviews 56:6, pages 553-613.
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W. Pan & E.J. Haug. (1999) Flexible multibody dynamic simulation using optimal lumped inertia matrices. Computer Methods in Applied Mechanics and Engineering 173:1-2, pages 189-200.
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Richard Schwertassek & Oskar WallrappRichard Schwertassek & Oskar Wallrapp. 1999. Dynamik flexibler Mehrkörpersysteme. Dynamik flexibler Mehrkörpersysteme 1 16 .
E.J. Haug & W. Pan. (1998) Optimal inertia lumping from modal mass matrices for structural dynamics. Computer Methods in Applied Mechanics and Engineering 163:1-4, pages 171-191.
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Jeha Ryu, Ho-Soo Kim & Semyung Wang. (1998) A method for improving dynamic solutions in flexible multibody dynamics. Computers & Structures 66:6, pages 765-776.
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Matthew Schmidt, Chris Paulson, Matthew Schmidt & Chris Paulson. (1997) CAD embedded CAE tools for aircraft designers as applied to landing gear. CAD embedded CAE tools for aircraft designers as applied to landing gear.
Tamer M. Wasfy & Ahmed K. Noor. (1997) Computational procedure for simulating the contact/impact response in flexible multibody systems. Computer Methods in Applied Mechanics and Engineering 147:1-2, pages 153-166.
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Jeha Ryu, Ho-Soo Kim & Hong Jae Yim. (1997) An efficient and accurate dynamic stress computation by flexible multibody dynamic system simulation and reanalysis. KSME International Journal 11:4.
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Jeha Ryu, Sang-Sup Kim & Sung-Soo Kim. (1997) A criterion on inclusion of stress stiffening effects in flexible multibody dynamic system simulation. Computers & Structures 62:6, pages 1035-1048.
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B. Fallahi. (1997) An enhanced computational scheme for the analysis of elastic mechanisms. Computers & Structures 62:2, pages 369-372.
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Tamer M. Wasfy & Ahmed K. Noor. (1996) Modeling and sensitivity analysis of multibody systems using new solid, shell and beam elements. Computer Methods in Applied Mechanics and Engineering 138:1-4, pages 187-211.
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Xiaojian Liu. (1996) Sensitivity analysis of constrained flexible multibody systems with stability considerations. Mechanism and Machine Theory 31:7, pages 859-863.
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C. R. Larson, S. E. Woodard, L. Tischner, E. Tong, M. Schmidt, J. Cheng, E. Fujii & S. Ghofranian. (1996) Multipayload modeling for the Upper Atmosphere Research Satellite. Journal of Spacecraft and Rockets 33:4, pages 489-493.
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Behrooz Fallahi. (1996) A nonlinear finite element approach to kineto-static analysis of elastic beams. Mechanism and Machine Theory 31:3, pages 353-364.
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Steven H.-Y. Lai. (1994) Geometrically nonlinear transient analysis of a rotating beam structure carrying a static payload. Mechanics Research Communications 21:5, pages 473-482.
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Steven H.Y. Lai. (1994) Nonlinear finite element modeling of a high speed rotating timoshenko beam structure. International Journal of Mechanical Sciences 36:9, pages 849-861.
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B. Fallahi & S.H.-Y. Lai. (1994) An improved numerical scheme for characterizing dynamic behavior of high-speed rotating elastic beam structures. Computers & Structures 50:6, pages 749-755.
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SHIH-CHIN WU & GUN-SHING CHEN. (1993) CONTACT-IMPACT ANALYSIS OF DEPLOYABLE SPACE SYSTEMS. CONTACT-IMPACT ANALYSIS OF DEPLOYABLE SPACE SYSTEMS.
Steven H.Y. Lai, B. Fallahi & C. Venkat. (1993) Dynamic characterization of flexible slider-crank mechanisms made of laminated composites. Mechanics Research Communications 20:2, pages 107-120.
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Jorge A. C. Ambrósio. 1993. Concurrent Engineering: Tools and Technologies for Mechanical System Design. Concurrent Engineering: Tools and Technologies for Mechanical System Design 181 202 .
Seung Hwan Ko & Byung Man Kwak. (1992) Frictional dynamic contact analysis in deformable multibody systems. Finite Elements in Analysis and Design 12:1, pages 27-40.
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ATUL KELKAR, GOPICHAND KOGANTI, THOMAS ALBERTS, GENE HOU & STANLEY WOODARD. (1992) CSI design of articulated space structures. CSI design of articulated space structures.
J. Ryu, Kim Sung-Soo & Kim Sang-Sup. (1992) An efficient computational method for dynamic stress analysis of flexible multibody systems. Computers & Structures 42:6, pages 969-977.
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Oskar Wallrapp & Richard Schwertassek. (1991) Representation of geometric stiffening in multibody system simulation. International Journal for Numerical Methods in Engineering 32:8, pages 1833-1850.
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Hao-Jan Lai, Edward J. Haug, Sung-Soo Kim & Dae-Sung Bae. (1991) A decoupled flexible-relative co-ordinate recursive approach for flexible multibody dynamics. International Journal for Numerical Methods in Engineering 32:8, pages 1669-1689.
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Sung-Soo Kim & Edward J. Haug. (1988) A recursive formulation for flexible multibody dynamics, part I: Open-loop systems. Computer Methods in Applied Mechanics and Engineering 71:3, pages 293-314.
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R.I. Stephens, B. Dopker, E.J. Haug, W.K. Baek, L.P. Johnson & T.S. Liu. Computational Fatigue Life Prediction of Welded and Non-welded Ground Vehicle Components. Computational Fatigue Life Prediction of Welded and Non-welded Ground Vehicle Components.

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