The method is unconditionally stable and has second-order accuracy in time. We extend the second-order generalized-method to third-order in time while the numerical dissipation can be controlled by a single parameter. In each time step, the scheme only requires inverting one matrix on ...
The Hilber-Hughes-Taylor (HHT) α-method is applied to the direct integration of the equations of conduction heat transfer. The method is shown to possess ... RE Cornwell,DS Malkus - 《Computer Methods in Applied Mechanics & Engineering》 被引量: 204发表: 1992年 ...
The analysis of the Generalized-α method for non-linear dynamic problems[J] . S. Erlicher,L. Bonaventura,O. S. Bursi.Computational Mechanics . 2002 (2)Erlicher, S., Bonaventura, L., Bursi, O.: The analysis of the generalized-α method for non-linear dynamic problems. Comput. Mech. ...
In this article, the existing nonsmooth generalized‐α method for the simulation of mechanical systems with frictionless contacts, modeled as unilateral constraints, is extended to systems with frictional contacts. On that account, we complement the unilateral constraints with set‐valued Coulomb‐type ...
generalized-alpha methodIMPROVED NUMERICAL DISSIPATIONTIME INTEGRATIONSTRUCTURAL DYNAMICSA variant of the generalized-alpha scheme is proposed for constrained mechanical systems represented by index-3 DAEs. Based on the analogy with linear multistep methods, an elegant convergence analysis is developed for ...
Daniel, W.J.T.: Explicit/implicit partitioning and a new explicit form of the generalized alpha method. Commun. Numer. Methods Eng. 19 , 909–920 (2003) MathSciNet MATHW. J. T. Daniel. Explicit/implicit partitioning and a new explicit form of the generalized alpha method. Communications ...
An element interface between implicit and explicit partitions can be used, analogous to that devised by Hughes and Liu to extend the Newmark method. The stability of the explicit/implicit algorithm is examined and found to exceed that of the explicit partition. The element partition is ...
An element interface between implicit and explicit partitions can be used, analogous to that devised by Hughes and Liu to extend the Newmark method. The stability of the explicit/implicit algorithm is examined and found to exceed that of the explicit partition. The element partition is ...
The simulation of flexible multibody systems with unilateral contact conditions and impacts requires advanced numerical methods. The nonsmooth generalized-[equation]method was developed in order to...doi:10.1007/978-3-319-75972-2_9Leine, RemcoAcary, VincentBrüls, Olivier...
L.CurtinF.CurtinR.CurtinVignalCurtinP.CurtinDalcinCurtinJournal of computational and applied mathematicsSarmiento, A., Espath, L., Vignal, P., Dalcin, L., Parsani, M., Calo, V., 2018. An energy-stable generalized-α method for the swift-hohenberg equation. Journal of Computational and ...