%0 Journal Article %1 citeulike:14366148 %A Negrut, Dan %A Rampalli, Rajiv %A Ottarsson, Gisli %A Sajdak, Anthony %D 2007 %J Journal of Computational and Nonlinear Dynamics %K newmark 74s05-finite-element-methods-for-solid-mechanics 65l80-numerical-daes 74h15-solid-dynamics-numerical-approximation-of-solutions 34a09-implicit-odes-daes %N 1 %P 73+ %R 10.1115/1.2389231 %T On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096) %U http://dx.doi.org/10.1115/1.2389231 %V 2 %X The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed algorithm is based on the Hilber-Hughes-Taylor (HHT) implicit method and is tailored to answer the challenges posed by the numerical solution of index 3 differential-algebraic equations that govern the time evolution of a multibody system. One of the salient attributes of the algorithm is the good conditioning of the Jacobian matrix associated with the implicit integrator. Error estimation, integration step-size control, and nonlinear system stopping criteria are discussed in detail. Simulations using the proposed algorithm of an engine model, a model with contacts, and a model with flexible bodies indicate a 2 to 3 speedup factor when compared against benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver.

@article{citeulike:14366148, abstract = {{The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large mechanical systems with flexible bodies and contact/impact. The proposed algorithm is based on the Hilber-Hughes-Taylor (HHT) implicit method and is tailored to answer the challenges posed by the numerical solution of index 3 differential-algebraic equations that govern the time evolution of a multibody system. One of the salient attributes of the algorithm is the good conditioning of the Jacobian matrix associated with the implicit integrator. Error estimation, integration step-size control, and nonlinear system stopping criteria are discussed in detail. Simulations using the proposed algorithm of an engine model, a model with contacts, and a model with flexible bodies indicate a 2 to 3 speedup factor when compared against benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Negrut, Dan and Rampalli, Rajiv and Ottarsson, Gisli and Sajdak, Anthony}, biburl = {https://www.bibsonomy.org/bibtex/2166e84010e2ebf35084bb0741049578a/gdmcbain}, citeulike-article-id = {14366148}, citeulike-attachment-1 = {negrut_07_implementation.pdf; /pdf/user/gdmcbain/article/14366148/1110788/negrut_07_implementation.pdf; 9ec5e3d16e404b0a6fc36d52f9a389d4cce96eef}, citeulike-linkout-0 = {http://dx.doi.org/10.1115/1.2389231}, doi = {10.1115/1.2389231}, file = {negrut_07_implementation.pdf}, interhash = {fba620bd4bc4063cc56fb5f1ce0b7e1a}, intrahash = {166e84010e2ebf35084bb0741049578a}, issn = {15551423}, journal = {Journal of Computational and Nonlinear Dynamics}, keywords = {newmark 74s05-finite-element-methods-for-solid-mechanics 65l80-numerical-daes 74h15-solid-dynamics-numerical-approximation-of-solutions 34a09-implicit-odes-daes}, number = 1, pages = {73+}, posted-at = {2017-06-01 01:11:05}, priority = {2}, timestamp = {2022-05-20T04:25:34.000+0200}, title = {{On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)}}, url = {http://dx.doi.org/10.1115/1.2389231}, volume = 2, year = 2007 }