„… . Fig. 1: Crash situation The integration of additional large-area crash levels with no hard …” „… the FE software LS-Dyna® with Ultrasim®, a software tool developed by BASF for numerical mapping of …” „… thermoplastic materials all in a single numerical approach. These include variables such as VDI-Berichte Nr …”

„… . Fig. 1: Crash situation The integration of additional large-area crash levels with no hard …” „… FE software LS-Dyna® with Ultrasim®, a software tool developed by BASF for numerical mapping of …” „… of thermoplastic materials all in a single numerical approach. These include variables such as …”

„… significantly to CO2 reduction, with integration keeping system costs low and reducing total weight. 6 …” „… integration Styling-neutral design Minimization of costs, investment, weight, development costs and also …” „… standardization and functional integration. Functional integration is usually the initial driver here for …”

„… . Design of lightweight components occasionally involves part replacement, tooling, function integration …” „… part design and can improve it in every phase of its development. An appropriate numerical material …” „… reasonable numerical costs is a key element of the Simulation Strategy. Based on the direction-dependent …”

„… reduced in complexity to meet the real-time requirements. Comparison of numerical methods for real-time …” „… numerical solution methods can be optimised to speed up the calculation. Examples of this are the conversion …” „… inline integration [9]. On the other hand, model reduction can reduce the number of degrees of freedom …”

„… numerical integration tools. 2. Analysed gear geometries and loading conditions The analyses were carried …” „… can be solved using a suitable numerical integration method and used to define the flash temperature …” „… periods, where a quasi-steady thermal state is achieved. The method consists of a preliminary numerical …”

„… the numerical errors introduced by direct collocation between tooth contacts and sub-structured gear …” „… contact conditions between the mating teeth and also avoids numerical artefacts in tooth load …” „… to avoid numerical errors leading to numerical spikes in tooth load distributions arising from …”

„… dynamic mesh forces are computed and analyzed. Finally, comparisons with the Runge-Kutta time integration …” „… integration scheme In order to evaluate the iterative spectral method efficiency, we performed comparisons …” „… with results obtained by integration time schemes. Among the many methods of temporal integration, we …”

„… obtained by a numerical time integration method called fourth Runge–Kutta method [9]. In order to get …” „… accurate results, the time step of numerical time integration method is set as 10-6. In this study, dynamic …” „… gear coupling by numerical analysis [3]. Barone proposed a finite element method to investigate the …”

„… article characterizes its core tribological features in a combined experimental and numerical approach …” „… on regression of numerical and experimental results. (1) Therein, U and W are dimensionless speed …” „… and load parameters respectively. SRR refers to the slide-to-roll ratio. Numerical results of …”

„… Castaneda [9] proposed a methodology for the numerical integration of the elastic-plastic constitutive …” „… , Springer Netherlands [9] Aravas N., P. C. P., Numerical methods for porous metals with deformation-induced …”

„… the two crossed helical gears can be considered. This serves for the numerical calculation of the …” „… .; STEMPLINGER, J.-P.; OTTO, M.; STAHL, K: Integration der Schraubradgetriebe in die FVA-Workbench …”

„…  The vector‐valued function 𝑓collects the applied, the gyroscopic and the elastic forces/torques, and it especially depends on the bearing loads defined in Eq. (2). Solving the MBS equations with a numerical time  integration method, the coordinates 𝑞 𝑡 …” „… a) after differentiation of the density. Therefore, a numerical time‐integration method is needed to solve the Reynolds equation. Finally,  due  to  the  large  deformation  of  the  foil  structure,  the  elasto‐hydrodynamics  (EHD …” „…   time‐consuming calculation of the Reynolds equation. Only in the final corrector step the Reynolds equation is actually called and the bearing pressure 𝑝 is updated. The time  integration of the Reynolds equation  is …”