...)., Cambridge University Press , New York . 2 Escalona , J. L. , Valverde , J. , Mayo , J. , and Domínguez , J. , 2003 , “ Reference Motion in Deformable Bodies under Rigid Body Motion and Vibration. Part I: Theory ,” J. Sound Vib. , 264 ( 5 ), pp. 1045 – 1056 . 10.1016/S0022-460X(02...

... 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...

... 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...

... 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...

... , 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...

... problems containing both rigid and deformable components. 07 04 2009 03 10 2009 18 05 2010 18 05 2010 couplings deformation digital simulation mechanical engineering computing 2 The term partitioned dynamic simulation applied to a multibody system (MBS...

...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...

.... Szuladziński , G. , 2008 , “ Mass-Plate Impact Parameters for the Elastic Range ,” Acta Mech. 0001-5970 , 200 ( 1–2 ), pp. 111 – 125 . For nondispersive waves, like the one spreading along an axial bar, calculating displacements as if they were caused by a static load applied to a deformed...

... 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...

...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...

...Bassam A. Hussein; Hiroyuki Sugiyama; Ahmed A. Shabana Hussein , B. A. , Sugiyama , H. , and Shabana , A. A. , 2007 , “ Coupled Deformation Modes in the Large Deformation Finite Element Analysis: Problem Definition ,” ASME J. Comput. Nonlinear Dyn. 1555-1423 10.1115...

...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...

... 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...

... 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...

...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...

...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...