A method for digitally designing a support with the shape of a fibrous blank obtained by three-dimensional weaving intended to form a fibrous preform of a turbine engine blade or propeller after shaping and compaction in a mold, includes providing a set of points representative of a face of the fibrous blank, the face being intended to form the root of the blade or the propeller and a portion of an aerodynamic profile of the blade or the propeller, generating a web connecting the points of the set of points, and digitally designing the support including at least an imprint of the fibrous blank having the shape of the generated web.

A bridge structure dynamic response of a bridge structure under the action of heavy duty vehicle load is obtained through sensors arranged on the bridge structure; according to vertical vibration acceleration a.sub.o and vertical deflection y.sub.o of the bridge at a center of gravity o of the heavy duty vehicle and speed of the heavy duty vehicle U.sub.vehicle, a response of a table top of a vibration table is reconstructed, and interaction force of the vehicle-bridge coupling model is obtained; a nonlinear finite element model of the bridge structure is established, and the vehicle-bridge interaction force is taken as external force, and the dynamic response of the bridge structure is taken as a structural response, and modification of the finite element model of the bridge structure is completed through a nonlinear parameter identification method. The invention is mainly used for updating a bridge model.

Provided is an exponential model-based method for predicting a two-dimensional flow velocity field in a river channel with emergent vegetation. The method comprises the following steps: (1) with a center of an upstream boundary of an emergent vegetation patch as an origin, dividing the river channel into a vegetated region and a bare channel in a direction perpendicular to a streamwise direction namely, an x direction; (2) determining a model for predicting flow velocity distribution of a two-dimensional flow velocity field in the vegetated region and the bare channel and (3) determining the flow velocity U.sub.y=b at the side edge of the vegetation patch and the mean flow velocity U.sub.bare over transverse profiles in a streamwise direction of the bare channel.

A method for describing power output of a cluster of wind and solar power stations considering time-varying characteristics. The error function is employed to characterize the degree of difference in power output within periods, and split-level clustering is used to determine the optimal period division under different period division quantities. The economic efficiency theory is introduced to determine the ideal number of periods, avoiding the randomness and unreasonableness that may result from relying on the subjective determination of the number of clusters. This method can reasonably divide the wind and solar power output period, fully reflecting the time-varying law of wind and solar power generation. The results also can accurately reflect the distribution characteristics of the power output of the power station group at each time period, and the power output each time period shows better reliability, concentration, and practicality.

The invention provides a thermal structure coupling analysis method of a solid rocket motor nozzle considering the structural gaps, comprising S1: establish a model of flow field in nozzle and ascertain the cross-sectional area at different positions along the axis, perform quasi-one-dimensional isentropic flow analysis of the nozzle flow field by Newton iteration method; S2: use Bartz formula to ascertain the boundary of the nozzle convective heat transfer coefficient; S3: establish a numerical analysis project of nozzle thermal structure; a two-dimensional axisymmetric model of the nozzle thermal protection structure and a material model thereof; S4: proceed a numerical analysis of the nozzle thermal protection structure heat transfer, including model setting, material setting, contact setting, meshing, solution parameter setting, boundary condition setting, solution and result post-processing; S5: proceed a numerical analysis of the nozzle thermal protection structure thermal stress, including solution parameter setting, boundary condition setting, solution and result post-processing.

A method for performing a thermal simulation of an additive manufacturing process that includes accessing a voxel model representing a representative system using one or more processors. The voxel model includes a first transition associated with a first group of one or more voxels transitioning between liquid and vapor, a second transition associated with a second group of one or more voxels transitioning between solid and liquid, a third transition associated with a third group of one or more voxels undergoing sinter, and a fourth transition associated with a fourth group of one or more voxels undergoing a solid state phase change. The method determines a flux imbalance metric based on a flux, a rate of change of the first transition, a rate of change of the second transition, a rate of change of the third transition, and a rate of change of the fourth transition. The method determines one or more temperatures for the representative system based on the flux imbalance metric.

Techniques, systems, and devices are described for providing a computational frame for estimating high-dimensional stochastic behaviors. In one exemplary aspect, a method for performing numerical estimation includes receiving a set of measurements of a stochastic behavior. The set of correlated measurements follows a non-standard probability distribution and is non-linearly correlated. Also, a non-linear relationship exists between a set of system variables that describes the stochastic behavior and a corresponding set of measurements. The method includes determining, based on the set of measurements, a numerical model of the stochastic behavior. The numerical model comprises a feature space comprising non-correlated features corresponding to the stochastic behavior. The non-correlated features have a dimensionality of M and the set of measurements has a dimensionality of N, M being smaller than N. The method includes generating a set of approximated system variables corresponding to the set of measurements based on the numerical model.

A method including performing a simulation to evaluate a plurality of metrology targets and/or a plurality of metrology recipes used to measure a metrology target, identifying one or more metrology targets and/or metrology recipes from the evaluated plurality of metrology targets and/or metrology recipes, receiving measurement data of the one or more identified metrology targets and/or metrology recipes, and using the measurement data to tune a metrology target parameter or metrology recipe parameter.

A method for calculating a temperature-dependent mid-span vertical displacement of a girder bridge includes: setting a joint rotation of a main girder at each support as an unknown quantity, and establishing an equation according to a bending moment equilibrium condition at the joint; then introducing a sequence to establish a quantitative relationship between each unknown quantity; substituting the relationship into the equation, to obtain an analytical formula for a rotation at each joint; establishing an analytical formula for a bending moment at each joint through a principle of superposition; and finally, establishing an analytical formula for a mid-span vertical displacement of each span girder through a principle of virtual work. This method provides an analytical formula with exact solutions for prismatic girder bridges which have equal side spans yet have any number of spans.

Computer-implemented methods and apparatus are provided for predicting/estimating (i) a non-equilibrium viscosity for at least one given time point in a given temperature profile for a given glass composition, (ii) at least one temperature profile that will provide a given non-equilibrium viscosity for a given glass composition, or (iii) at least one glass composition that will provide a given non-equilibrium viscosity for a given time point in a given temperature profile. The methods and apparatus can be used to predict/estimate stress relaxation in a glass article during forming as well as compaction, stress relaxation, and/or thermal sag or thermal creep of a glass article when the article is subjected to one or more post-forming thermal treatments.