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Overview of each product included in Altair HyperWorks. Modeling and Visualization Integrated user environment for modeling and visualization. Solvers Suite of finite element and multibody dynamics solvers for design and optimization. Product Description Altair OptiStruct Optimization-enabled structural analysis solver for linear and nonlinear simulation under static and dynamic loadings Altair Radioss Crash, safety, and impact solver for highly nonlinear problems under dynamic loadings Altair MotionSolve Multi-body system simulation Altair HyperXtrude A suite of solvers for manufacturing process simulation Altair Manufacturing Solver A state-of-the-art solver suite for manufacturing applications that is built on a parallel, modular and extensible framework that is suitable for simulations of manufacturing processes Altair AcuSolve General, all-purpose finite element computational fluid dynamics (CFD) solver Altair Feko + WinProp Comprehensive computational electromagnetics (CEM) code used widely in the telecommunications, automobile, space and defense industries Altair Flux Electromagnetic and thermal simulations of electromotors, actuators, sensors, cables, induction heating, and much more Altair FluxMotor Electric rotating motor design Altair nanoFluidX Particle-based (SPH) fluid dynamics simulation to predict fluid flow around complex geometries under complicated motion Altair ultraFluidX Ultra-fast solver to predict aerodynamic properties of vehicles, buildings, environmental and motorsport applications Altair Multiscale Designer Used for seamless integration of modeling, simulation, testing, uncertainty quantification and optimization of composite materials and structures at multiple spatial and temporal scales Altair Seam Provides high frequency vibro-acoustic solutions to the automotive, aerospace, naval and heavy equipment industries Altair ConnectMe Allows users to conveniently start and update HyperWorks and Partner Alliance products from one GUI Manufacturing

Abstract In this article, we describe how romAITM can help to generate an efficient and accurate Reduced-Order Model (ROM) of a linear actuator. For the purpose, we start from few transient electromagnetic simulations performed with Altair® Flux®. In the study we also compare 3 different modeling approaches: Look-up tables (LuTs), romAI and FE analyses. Introduction ROMs are models which allow to drastically reduce the simulation run time while keeping a good accuracy on the results under interest. Nowadays, ROMs are widely used in many domains: Digital Twins, Optimizations, Real-Time Simulators just to mention a few. The romAI application allows the creation of dynamic or static ROMs either linear or non-linear. In this study, we model the behavior of a linear actuator system during the closing phase. We will compare different approaches: look-up tables, romAI and FE model in terms of current in the coil and plunger movement (displacement and velocity). Below, the figure shows the 3 approaches reported in order of increased accuracy going from the top to the bottom. The look-up tables approach uses magneto-static tables exported by Flux through static analyses. This approach provides accurate results during static or quasi-static scenarios (low velocity of the plunger) but it doesn’t take into account the effect of the eddy currents and so could be not suited in transient situations where the plunger moves with higher velocities. romAI approach instead, is generated from transient analyses in Flux and considers the non-linearities due to the eddy currents, hence, it is suited for transient scenarios. Results from Flux simulations provide the most detailed output and represent our reference in the comparison. Initial data set for the training We want to explore the behavior of the linear actuator when we apply in input different voltages (different operative conditions) and we have different spring stiffness (different design). As we deal with a non-linear system, it is convenient to vary these quantities on at least 3 levels. The below image shows the 9 transient simulations (marked with a x symbol) performed to generate the needed data. In addition, we ran also 3 extra simulations to test the generalization capabilities of romAI within and outside the training domain. Each simulation generates thousands of valid training instances that can be used during the training process. All the 9 simulations are appended in the same csv file used by the romAI application. The video shows how in the romAI GUI we can pre-process the data, build the non-linear dynamic ROM and evaluate its accuracy without any coding. It also shows how we can easily reuse the generated ROM into a system simulation environment (Altair® Activate®). Input for the ROM are: Voltage, displacement and velocity of the plunger. The output is the current in the coil and the electromagnetic force acting on the plunger. The state of the system is the current in the coil (defined also as output). First Results Results on training data Below, we report a comparison in terms of coil current, displacement and velocity of the

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