Abstract:
An embodiment of the invention involves increasing the penalty stiffness within a finite element simulation increment, which is more accurate because it avoids following a solution path with significant non-physical penetrations. An embodiment of the present invention begins by determining a first value of a parameter used by a finite element simulation of a load increment. Next, a first solution of the finite element simulation is determined by performing Newton iterations using the first value of the parameter until a first convergence check is satisfied. Then, a second value the parameter is determined wherein the second value of the parameter is unequal to the first value of the parameter. Finally, a second solution of the finite element simulation is determined by continuing the Newton iterations using the second value of the parameter until a second convergence check is satisfied, the first convergence check being different than the second convergence check.
Abstract:
In the proposed approach cluster elements (bins) are made available as a keypad in the form of a cluster map. The user directly selects the cluster element (bin) with a mouse, touch or actual keypad. For each of the associated attributes, a cluster map is available that orders the attributes from high-to-low by color or shade intensity. When a cluster element is selected in one cluster map, that same cluster element is also highlighted in other cluster maps. For each of the cluster maps, a value axis is available which shows the value of the parameter for the selected cluster element. In the case of numerical values, the high/low attribute pattern across the cluster maps is easily visible. The selected data objects in the cluster map are displayed in a separate widget.
Abstract:
In the proposed approach cluster elements (bins) are made available as a keypad in the form of a cluster map. The user directly selects the cluster element (bin) with a mouse, touch or actual keypad. For each of the associated attributes, a cluster map is available that orders the attributes from high-to-low by color or shade intensity. When a cluster element is selected in one cluster map, that same cluster element is also highlighted in other cluster maps. For each of the cluster maps, a value axis is available which shows the value of the parameter for the selected cluster element. In the case of numerical values, the high/low attribute pattern across the cluster maps is easily visible. The selected data objects in the cluster map are displayed in a separate widget.
Abstract:
Embodiments provide methods and systems for constructing surrogate models for use in interactive experiences. One such embodiment begins by defining a model that includes a parametric state vector and a design variable vector and represents a real world system. Next, a first and second experiment are performed to determine a response over time of the parametric state vector and to produce a dataset of the parametric state vector and the design variable vector as a function of time. The dataset is then modified with one or more derivatives of the parametric state vector and a set of surrogate differential equations is constructed that approximates a higher derivative of the parametric state vector relative to that in the dataset and the set of surrogate differential equations is stored as a surrogate model. The surrogate model is in turn provided from memory in a manner accelerating simulated behavior in response to user-interaction with the model.
Abstract:
Modal dynamic analysis for finite element models (FEMs) that include Lagrange multipliers may generate incorrect stress and reaction forces. Thus, embodiments of the present invention provide methods and systems for performing a modal analysis that corrects these errors. One such embodiment begins by providing a FEM, the FEM is employed in a modal analysis modeling stress and reaction forces of the FEM using Lagrange multipliers. Next, a correction term is calculated. Then, the method concludes by modifying (and thus improving) the modal analysis using the correction term to alter the Lagrange multipliers.
Abstract:
Modal dynamic analysis for finite element models (FEMs) that include Lagrange multipliers may generate incorrect stress and reaction forces. Computer systems and computer-implemented methods are provided for modifying the modal analysis to correctly generate stress and reaction forces. The systems and methods perform the modal analysis by employing a FEM and modeling stress and reaction forces of the FEM using Lagrange multipliers. The systems and methods calculate a correction term that comprises corrected values of the Lagrange multipliers. The methods and systems modify (and improve) the modal analysis by using the correction term to correct the Lagrange multipliers of the FEM, which enables the modal analysis to generate correct stress and reaction forces.
Abstract:
The present invention relates to a method and corresponding system for generating a computer-aided design (CAD) model from a finite element mesh. The method of the invention begins with selecting one or more mesh-element-faces on a finite element mesh that represents a geometric object to be formed of one or more geometric faces. Next, from the one or more selected mesh-element-faces, respective geometric faces are generated. Finally, any generated geometric faces are stitched together to make a geometric shell of the geometric object that the finite element mesh represents.
Abstract:
An embodiment of the invention involves increasing the penalty stiffness within a finite element simulation increment, which is more accurate because it avoids following a solution path with significant non-physical penetrations. An embodiment of the present invention begins by determining a first value of a parameter used by a finite element simulation of a load increment. Next, a first solution of the finite element simulation is determined by performing Newton iterations using the first value of the parameter until a first convergence check is satisfied. Then, a second value the parameter is determined wherein the second value of the parameter is unequal to the first value of the parameter. Finally, a second solution of the finite element simulation is determined by continuing the Newton iterations using the second value of the parameter until a second convergence check is satisfied, the first convergence check being different than the second convergence check.
Abstract:
In the proposed approach cluster elements (bins) are made available as a keypad in the form of a cluster map. The user directly selects the cluster element (bin) with a mouse, touch or actual keypad. For each of the associated attributes, a cluster map is available that orders the attributes from high-to-low by color or shade intensity. When a cluster element is selected in one cluster map, that same cluster element is also highlighted in other cluster maps. For each of the cluster maps, a value axis is available which shows the value of the parameter for the selected cluster element. In the case of numerical values, the high/low attribute pattern across the cluster maps is easily visible. The selected data objects in the cluster map are displayed in a separate widget.