A method for compensating springback of a part includes running a finite element analysis (FEA) simulation of forming a panel using a model of forming die such that a panel with springback is simulated, determining at least two zero springback locations on the panel where hanging apertures are simulated, running an FEA simulation of the panel hanging from the hanging apertures, and comparing a geometry of the hanging panel to a geometry of a reference panel such that a difference between the geometry of the hanging panel and the geometry of the reference panel due to the springback is determined and compensated.

A modal superposition method using a response dependent non-linear mode concept for a vibration analysis of non-linear engineering structures is provided. The modal superposition method is provided to find steady state response of non-linear systems in frequency domain. The modal superposition method is used in many mechanical structures, especially in design of aerospace and automotive structures, defense industry platforms, steam and gas turbines and mechanical structures containing non-linear forces such as gas turbine engines and jet engines.

A structure state display system has a measurement means, disposed in a structure, for measuring a physical state relating to the structure, an acquisition means for acquiring measurement information measured with the measurement means, and a creation means for applying a virtual physical quantity according to the measurement information to a design model including the structure and creating a virtual model in which a display showing the physical state of the structure in the design model is changed, and the virtual model is displayed on display means.

A method involving obtaining a resist deformation model for simulating a deformation process of a pattern in resist, the resist deformation model being a fluid dynamics model configured to simulate an intrafluid force acting on the resist, performing, using the resist deformation model, a computer simulation of the deformation process to obtain a deformation of the developed resist pattern for an input pattern to the resist deformation model, and producing electronic data representing the deformation of the developed resist pattern for the input pattern.

Methods and systems for receiving an earth-boring tool design, identifying a force model equation to utilize in simulating performance of the earth-boring tool design within a planned drilling operation, simulating performance of the earth-boring tool design within the planned drilling operation utilizing the identified force model equation, and based at least partially on the simulated performance of the earth-boring tool, estimating a probability of an actual earth-boring tool experiencing stick-slip within the planned drilling operation.

A method and computer program for designing straightening aligners are disclosed. The method for designing straightening aligners according to an exemplary embodiment of the present invention includes generating current alignment information representing a patient's current tooth alignment state, and generating orthodontic alignment information for multiple orthodontic steps that are reached sequentially by correcting the current alignment information, wherein generating the orthodontic alignment information sets the multiple orthodontic steps such that the total sum of orthodontic forces applied to the patient's teeth per one orthodontic step is less than or equal to a preset total sum of orthodontic forces in order to reach a tooth alignment state corresponding to the orthodontic alignment information of each orthodontic step.

Provided is a simulation method that represents an elastic analysis object as an aggregate of a plurality of virtual particles, and the method includes, when solving the equation of motion for each particle, regarding the analysis object as a rigid body, and calculating a force acting on the analysis object and a velocity of the analysis object, based on the force acting on each particle obtained at each time step and the velocity and the position of each particle, applying FIRE to a motion of the analysis object to calculate a force to be applied to the analysis object, obtaining a force to be additionally applied to each particle, by distributing the force to be applied to the analysis object to the plurality of particles, and solving the equation of motion, by adding the force to be additionally applied, to the force acting on each particle.

A method of compensating for sintering warpage due to powder spreading density variations in binder jetting additive manufacturing, including receiving an initial design file defining an object geometry, representing the object geometry as a part mesh and filling the mesh with a grid of voxels to create a voxel grid, each voxel having at least one shrinkage coefficient. For each voxel, determining a distortion factor caused by a powder density variation induced during a powder spreading process and adjusting the at shrinkage coefficient of each voxel according to its respective distortion factor. Next, a shrinkage of the grid of voxels is simulated according to a sintering process. A negative compensation is applied to the voxel grid, according to the simulated shrinkage of the grid of voxels, to form a compensated voxel grid. Lastly, the change in the voxel grid is mapped to the compensated voxel grid onto the part mesh to create a pre-processed compensated part mesh.

A method of compensating for shrinking and distortion of an object resulting from a manufacturing process. A scan is performed of an object following a manufacturing process to produce scan data. The scan data is aligned to a part mesh of the object. The part mesh is adjusted to substantially coincide with the scan data by moving part mesh vertices. Delta vectors are computed by subtracting initial part mesh vertex positions from final part mesh vertex positions. The inverse of the delta vectors are applied to the preprocessed part mesh to give a scan adjusted pre-processed shape.

Described a computer-implemented method for the automated design of a mechanical actuator by using metamaterials. The method comprises: defining an initial lattice model of the metamaterial, constituted by the repetition of basic geometric elements formed by a plurality of nodes connected by a plurality of beams; defining several groups of nodes; and iterating a series of steps, including: modifying a current test lattice, on the basis of a pseudo-random decision determined by means of a computational algorithm; simulating, by means of computational simulation, the mechanical response of the modified test lattice; calculating a figure of merit of the modified test lattice on the basis of positions of input and output nodes in presence of an input mechanical stimulus; either accepting or rejecting the modified test lattice; and finally defining the current test lattice for the subsequent iteration is as the initial lattice at the first iteration.