13 results about "Conformal map" patented technology

The invention discloses a cylindrical surface or similar cylindrical surface homeomorphic parameterization method for grid redivision, which comprises the following steps: carrying out feature recognition on a geometric surface to be parameterized, and if the geometric surface has the features of the cylindrical surface, defining the inner and outer boundaries of the complete cylindrical surface; performing parameterization processing of conformal mapping on all triangular units of the grid according to the new boundary; and checking and correcting the quality of the parameter plane target grid. The defect that the cylindrical surface cannot be directly unfolded to a two-dimensional parameter plane under the condition that the cylindrical surface is not sheared off is overcome, the characteristics of the cylindrical surface can be kept when the method is applied to grid re-division, and therefore reasonable deformation of grids can be achieved, the defects of large grid distortion, grid self-intersection and the like are overcome, and the user-friendly purpose is finally achieved.

The present application relates to a complex variable function and model construction method for solving the stress field of rigid inclusion problems. First, for a given distal loading method and rigid inclusion shape, a corresponding conformal mapping function and distal boundary conditions are established; secondly, based on the boundary conditions of the matrix and the inclusion, a closed-form solution of the potential function that characterizes the stress field and displacement field in the matrix is ​​given with the help of the analytical properties of the potential function and the Cauchy integral; then, through the solved potential function, a numerical program for calculating the stress distribution on the interface between the matrix and the rigid inclusion is given; finally, for the stress at the corner point of the polygonal inclusion that has been obtained, an empirical formula for predicting the stress level using the curvature at the corner point is provided. It is convenient to calculate the stress distribution at the interface and analyze the influence of relevant parameters on the stress field; the research on the distribution of the stress field and the prediction of the stress level is relatively in-depth, and compared with the finite element method, it can greatly improve the calculation accuracy and speed.

This invention discloses a method and equipment for analyzing the seepage field in the lining of cracked water-rich strata, belonging to the field of tunnel engineering seepage analysis technology. It addresses the technical problems in existing tunnel engineering seepage analysis, such as the difficulty in directly and analytically modeling complex cracks, the poor practicality of three-dimensional numerical simulation methods, and the insufficient consideration of the mutual interference between the tunnel and cracks. The method includes: performing equivalent seepage calculations on the equivalent circular drainage holes under the relevant total seepage flow; placing the equivalent circular drainage holes within the tunnel lining boundary, with the distance between the equivalent circular drainage holes and the tunnel lining boundary approaching zero; transforming the horseshoe-shaped non-circular boundary of the tunnel into a regular unit circle boundary under conformal mapping; and performing alternating two-dimensional seepage iterations on the excess hydraulic gradient generated by the equivalent circular drainage holes on the tunnel and the excess water head generated by the tunnel on the equivalent circular drainage holes under multiple connected domains to obtain the analytical results of the seepage field.

The invention discloses an eccentric circular ring transient temperature field rapid calculation method based on conformal mapping, and belongs to the technical field of heat conduction numerical calculation and computer simulation, and the method comprises the steps: 1, converting an eccentric circular domain of a physical plane into a concentric circular domain of an image plane through conformal mapping, and building a coordinate corresponding relation between the two domains; step 2, constructing a finite difference numerical discrete model introducing scale factor correction, and flexibly selecting an explicit, semi-implicit or fully implicit difference format for solving according to actual requirements; and step 3, performing inverse mapping reduction to obtain a transient temperature field of the physical plane eccentric circular domain. According to the method, the calculation efficiency is remarkably improved while the calculation precision is guaranteed, and the method is particularly suitable for temperature field simulation and monitoring of the eccentric circular ring structure with the high real-time performance requirement.

The invention relates to the technical field of computer graphics and human-computer interaction, in particular to a game picture dynamic interactive layout method and system, and the method comprises the steps: obtaining depth, normal, illumination, color and user event data to generate a field of attention; and extracting a region of interest according to the attention field, obtaining two displacement fields by using neural optimal transmission and quasi conformal mapping, and fusing the two displacement fields into a unified displacement field according to curvature weight. After deformation pixel coordinates of the displacement field are unified, inputting a voxel set of the region of interest into a neural radiation field network to generate a compensation color, and synthesizing the compensation color and the deformation color graph into a fusion picture; a user input event hits an entity through two-stage inverse mapping, frame-skipping multiplexing is performed when system energy is low, threshold, conformal coefficient and damping are adjusted through time sequence difference reinforcement learning when system energy is high, and cross-frame self-adaption is achieved. According to the invention, both local amplification definition and global continuity are considered, dizziness is reduced, and computing power is saved.

The application discloses a cylindrical surface or cylindrical surface-like homeomorphism parameterization method for mesh redivision, and comprises the following steps: feature recognition is performed on a geometric surface to be parameterized; if the geometric surface has the feature of a cylindrical surface, the inner and outer boundaries of a complete cylindrical surface are defined; parameterization processing of conformal mapping of all triangular elements of the mesh is performed according to the new boundaries; and the quality of the target mesh of the parameter plane is checked and corrected. The application makes up for the deficiency that the cylindrical surface cannot be directly unfolded to a two-dimensional parameter plane without being cut, can keep the feature of the cylindrical surface when applied to mesh redivision, can achieve reasonable deformation of the mesh, and can avoid the disadvantages of large mesh distortion and mesh self-intersection, and finally achieves the purpose of user friendliness.

The invention discloses a physically-driven shallow-buried arbitrary-section tunnel excavation deformation evolution prediction method and a related device, and relates to the technical field of tunnel disaster prediction.The method comprises the steps that geological parameters and mechanical property indexes of a target tunnel are input into a trained deformation evolution prediction model, and a target global displacement prediction result is obtained; and a visual graph of tunnel excavation deformation evolution is obtained. Wherein a conformal mapping method and a complex variable function analysis method are utilized to calculate and obtain a tunnel inner boundary parameterization analysis function corresponding to each piece of sample data, and an inner boundary analysis set is obtained based on the tunnel inner boundary parameterization analysis functions corresponding to all the sample data; and based on the training data set and the inner boundary analysis set, optimizing the initial deformation evolution prediction model to obtain a trained deformation evolution prediction model. According to the method, the accuracy, the calculation efficiency and the adaptability of deformation evolution prediction in the tunnel excavation process are remarkably improved.

The invention discloses a non-uniform layered space magnetic conductance modeling method based on conformal mapping, and relates to the technical field of permanent magnet motors, and the method comprises the steps: obtaining a generalized polygon calculation domain for calculating magnetic conductance based on a motor topology model; analyzing the generalized polygon computational domain through multiple conformal mapping to obtain a relative permeability function in the air gap of the motor; and obtaining a non-uniform space magnetic conductance model based on conformal mapping by adopting a layering method based on the relative specific magnetic conductance function. According to the method, complex air gap magnetic conductance characterization is achieved by constructing conformal mapping, the concept that multi-layer magnetic conductance distribution exists in an air gap space is introduced for the first time, and model errors caused by the fact that linear magnetic conductance or other single-layer magnetic conductance is adopted in an air gap in a traditional method are effectively corrected; and meanwhile, the conformal mapping analysis of the magnetic conductance of the motor only needs the tooth space topology of the motor and does not need complex geometric subdivision, so that the precision of a magnetic field analysis model of the permanent magnet vernier motor is remarkably improved, the modeling complexity is reduced, and a theoretical basis is provided for accurate modeling and performance optimization of the motor.

This invention provides an analytical method for calculating the cogging torque of an asymmetric magnet structure-embedded permanent magnet motor, belonging to the field of motor design and electromagnetic field analysis. The method includes: based on the principle of constant total magnetic flux, the asymmetric magnet structure is equivalent to a symmetric structure with tangentially and radially distributed permanent magnets, constructing a symmetric rotor topology; then, an improved subdomain model is established, including an air gap subdomain, a permanent magnet subdomain, an air slot subdomain, and a magnetic bridge subdomain; the slotless air gap magnetic flux density distribution is solved using a system of vector magnetic potential general equations; the stator slotting influence coefficient is obtained using a conformal mapping method to correct the slotless air gap magnetic flux density and obtain the true air gap magnetic flux density distribution; finally, the cogging torque is calculated based on the Maxwell stress tensor integral method. This invention enables rapid and accurate calculation of the cogging torque of asymmetric V-type, W-type, and straight-type embedded permanent magnet motors, providing an efficient analytical tool for the initial design and optimization of such motors.

The invention provides a parallel inclined rock stratum deep-buried support tunnel mechanical response analysis method and system, and the method comprises the steps: obtaining mechanical parameters of a parallel inclined rock stratum deep-buried support tunnel, and constructing a plane stress mechanical model according to the mechanical parameters; constructing corresponding conformal mapping functions for all independent boundaries in the plane stress mechanical model; deducing an undetermined complex coefficient vector based on the plane stress mechanical model and the conformal mapping function; selecting a plurality of calculation boundary points on the independent boundary by using a point matching method, and constructing a corresponding condition constraint equation according to the boundary condition of the independent boundary where each calculation boundary point is located; and assembling all the condition constraint equations to obtain an integral linear equation set, and then resolving the undetermined complex coefficient vector by using the integral linear equation set to obtain a mechanical property solution. The problems that in the prior art, the analysis difficulty of the mechanical response of the deep-buried supporting tunnel in the parallel inclined rock stratum is high, and the accuracy of the analysis result is difficult to control are solved.

The present application relates to the field of computer graphics and human-computer interaction technology, especially to a game picture dynamic interaction layout method and system, the method comprising: obtaining depth, normal, illumination, color and user event data to generate a field of attention; extracting an interest region according to the field of attention, obtaining two displacement fields by using neural optimal transport and quasi-conformal mapping respectively, and fusing the two displacement fields into a unified displacement field according to curvature weight; after deforming pixel coordinates by using the unified displacement field, inputting a voxel set of the interest region into a neural radiance field network to generate a compensation color, and combining the compensation color with a deformed color map to generate a fusion picture; inputting a user event through two-stage inverse mapping to hit an entity, and when the system energy is low, frame skipping is used for multiplexing, and when the system energy is high, threshold, conformal coefficient and damping are adjusted through time sequence difference reinforcement learning to realize cross-frame self-adaptation. The present application takes into account local magnification clarity and global continuity, reduces dizziness and saves computing power.

The application discloses a non-uniform layered space magnetic guide modeling method based on conformal mapping, relates to the technical field of permanent magnet motors, and is based on a motor topology model to obtain a generalized polygon calculation domain used for calculating a magnetic guide; the generalized polygon calculation domain is analyzed through multiple conformal mappings to obtain a relative magnetic guide function in a motor air gap; and a layered method is adopted based on the relative magnetic guide function to obtain a non-uniform space magnetic guide model based on conformal mapping. The method realizes complex air gap magnetic guide representation through the construction of conformal mapping, first introduces the concept that there are multiple layers of magnetic guide distribution in the air gap space, effectively corrects the model error caused by the adoption of the air gap center line magnetic guide or other single-layer magnetic guide in the traditional method, and simultaneously, the conformal mapping analysis of the motor magnetic guide only needs the motor tooth slot topology, does not need complex geometric subdivision, significantly improves the precision of the permanent magnet vernier motor magnetic field analysis model and reduces the modeling complexity, and provides a theoretical basis for the accurate modeling and performance optimization of the motor.

The present invention relates to the technical field of mechanical engineering and provides a three-dimensional cycloidal gear modification method and system. The method comprises: implementing geometric and stress information conversion between a unit circle and a cycloidal gear tooth profile polygon by means of conformal mapping and a global scaling factor, so as to optimize the stress distribution on a tooth end surface; constructing an elastic flow force lubrication model under a high-pressure working condition, analyzing tooth surface fatigue characteristics, and evaluating tooth surface fatigue strength; and constructing a tooth profile model containing an error term, and, using the minimization of the sum of a contact force and an offset as an optimization objective, performing synchronous optimization of the tooth end surface and the tooth surface, so as to achieve an integrated representation of a tooth form and error. The present invention achieves integrated accurate optimization of the tooth form and error, and further improves the meshing smoothness, durability, and operation stability of the gear. The present invention brings higher efficiency, better quality, and lower energy consumption to industrial production, and exhibits broad application prospects and market value.