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Keywords: deformation
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Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021008.
Published Online: January 6, 2012
.... In order to demonstrate a simple planar example, a deformable beam shown in Fig. 2 was selected. Let the mass density ρ of the beam material be constant and the mass is denoted as m tot . The beam has the length ℓ and is initially straight. Although not necessary...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011014.
Published Online: November 10, 2011
... at the contact points of rolling elements and races, whose stiffnesses are obtained by using Hertzian elastic contact deformation theory. The numerical integration technique Newmark-β with the Newton–Raphson method is used to solve the nonlinear differential equations, iteratively. The effect of bearing running...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011008.
Published Online: September 6, 2011
... of the deformations at the definition points of the joints that allow for rigid body rotations between ANCF finite elements are discussed. The use of the linear connectivity conditions with ANCF spatial finite elements leads to a constant inertia matrix and zero Coriolis and centrifugal forces. The fully...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031002.
Published Online: December 15, 2010
... between two nodes of a multibody system. For infinitesimal deformations, the selection of the lumped spring constants is an easy task, which can be based on a numerical simulation of the joint or on experimental measurements. If the joint undergoes finite deformations, the identification of its stiffness...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2010, 5(4): 041002.
Published Online: June 29, 2010
... , the determination of q ̇ by linear equation solution schemes requires order ( [ N + ∑ i = 1 N n i ] 3 ) arithmetic operations, where N is the number of bodies and n i is the number of mode shape functions used to model the i th body deformations. It has been shown that q ̇ can be solved recursively from...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2010, 5(3): 031007.
Published Online: May 18, 2010
... problems containing both rigid and deformable components. Shabana , A. A. , Bauchau , O. A. , and Hulbert , G. M. , 2007 , “ Integration of Large Deformation Finite Element and Multibody System Algorithms ,” ASME J. Comput. Nonlinear Dyn. 1555-1423 , 2 , pp. 351 – 359 . 10.1115...
Topics: Simulation
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2009, 4(3): 031009.
Published Online: June 9, 2009
...Michael Stangl; Johannes Gerstmayr; Hans Irschik A novel planar pipe finite element conveying fluid with steady flow, suitable for modeling large deformations in the framework of the Bernoulli–Euler beam theory, is presented. The element is based on a third order planar beam finite element...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2009, 4(3): 034502.
Published Online: May 20, 2009
..., the approach illustrates the basic mechanism of spreading deflections. A shear correction is introduced for the early phase of motion. The quantification is also of some interest in explaining certain aspects of mass impact against a plate. deformation elastic waves impact (mechanical) plates (structures...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2009, 4(2): 021006.
Published Online: March 9, 2009
... deformation regimes. Special emphasis is laid on converged solutions and on a comparison to analytical and numerical solutions from the literature. In addition to the work of previous authors, the computational performance of both formulations is studied for the dynamic case, where detailed information...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2009, 4(2): 021002.
Published Online: March 6, 2009
...Oleg N. Dmitrochenko; Bassam A. Hussein; Ahmed A. Shabana The effect of the absolute nodal coordinate formulation (ANCF)– coupled deformation modes on the accuracy and efficiency when higher order three-dimensional beam and plate finite elements are used is investigated in this study. It is shown...
Journal Articles
Article Type: Errata
J. Comput. Nonlinear Dynam. July 2008, 3(3): 037001.
Published Online: May 6, 2008
...Bassam A. Hussein; Hiroyuki Sugiyama; Ahmed A. Shabana 06 05 2008 beams (structures) bending deformation elasticity finite element analysis pendulums variational techniques Figures 8–13 in Ref. 1 contain results of the simulation of a very flexible pendulum. The results...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2007, 2(4): 351–359.
Published Online: January 19, 2007
...Ahmed A. Shabana; Olivier A. Bauchau; Gregory M. Hulbert This paper presents an overview of research and development efforts that are currently being devoted to integrate large deformation finite element formulations with flexible multibody system algorithms. The goal is to develop computer...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2007, 2(1): 10–21.
Published Online: August 1, 2006
... to the limitations of modal superposition, and body substructuring, with arbitrarily large rotations and translations. The large rotations or translations are modelled as rigid body degrees of freedom associated with the interconnecting kinematic joint degrees of freedom. The elastic deformation of the component...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2006, 1(2): 160–167.
Published Online: September 6, 2005
... for the spherical joint with clearances. This assumption limits the application of the theory, especially in the case of occurring large deformation in contact area. The Steuermann theory is effective to solve the conformal contact problem in some cases, but it is strictly dependent on the selecting index n...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2006, 1(1): 81–93.
Published Online: May 21, 2005
...Wan-Suk Yoo; Su-Jin Park; Oleg N. Dmitrochenko; Dmitry Yu. Pogorelov A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2006, 1(2): 103–108.
Published Online: May 20, 2005
...Aki M. Mikkola; Marko K. Matikainen Dynamic analysis of large rotation and deformation can be carried out using the absolute nodal coordinate formulation. This formulation, which utilizes global displacements and slope coordinates as nodal variables, make it possible to avoid the difficulties...