16 results about "Mathematical relation" patented technology

The invention discloses a novel structure construction method using a gradient triple-period minimal surface lattice. The novel structure construction method comprises the following steps: defining a mathematical relationship of an entity part of a TPMS lattice according to a selected scene; the standard TPMS lattice in the original cube is deformed and matched into the pyramid space, a transition structure is formed, and a final TPMS distortion structure is output; connecting the upper-layer small unit lattices with the lower-layer large unit lattices by the TPMS twisted structure to generate gradient lattices without geometric defects; the gradient between different unit numbers is controlled by controlling the size of the top plane of the pyramid; the size of the transition area is adjusted, the transformation completion distance of the substructure is changed, and then the elastic modulus is adjusted and controlled; the number of layers of the base structure in the transition area is increased, and the buffering distance of structure transformation is prolonged. The problems that in the prior art, a gradient lattice transition area has geometric defects, the adjustable range of elastic modulus is small, and stress is concentrated are solved, and the stability and durability of the structure are improved.

The invention provides a power distribution network disturbance identification method and system based on multiple time scales, and the method comprises the following steps: S1, achieving the standardized processing and noise characteristic modeling of measurement data through building a mathematical relation among node voltage, a phase angle and a measurement quantity, and reflecting a system topological structure and parameter sensitivity through a Jacobian matrix; s2, firstly, based on the step S1, capturing dynamic feature changes in different time ranges; extracting features through feature engineering, optimizing a feature set by adopting a recursive feature elimination method, and improving the accuracy and stability of the model; s3, after the classification framework preliminarily confirms that a traditional event belongs to a large class, training and verifying feature data extracted in the previous step by adopting an XGBoost algorithm, realizing high-precision identification of multiple classes of disturbance events through hyper-parameter optimization and cross validation, and outputting an event class and a confidence result; according to the technical scheme, intelligent analysis of the operation state of the power distribution network and accurate identification of abnormal events can be realized.

The present application relates to a kind of improved radiation transmission model mangrove chlorophyll estimation method, comprising: the measured data of the tree height, crown width and leaf area index of mangrove are collected;Mathematical relationship between leaf area index and tree height, crown width is constructed;Simulated spectral data is generated as training set using improved radiation transmission model;The sensitive feature screening of mangrove functional traits is carried out;Random forest inversion model based on physical constraint is constructed;The present application estimates the chlorophyll content of mangrove using the random forest inversion model based on physical constraint.The beneficial effects of the present application are: the present application can effectively improve the precision of chlorophyll inversion, provide scientific basis for the fine inversion of mangrove chlorophyll, provide data support and decision-making reference for the protection and scientific management of mangrove.

This invention presents a method for establishing large deformation viscoelastic constitutive relations based on Prony technology. It addresses the problems of existing viscoelastic constitutive models lacking universality, and the complexity and programming difficulties associated with their mathematical relationships. The invention includes: decomposing the stress tensor into the sum of the deviatoric stress tensor and the mean stress; decomposing the strain tensor into the sum of the deviatoric strain tensor and the mean strain; and providing a convolutional expression for the deviatoric stress tensor and the mean stress. The increment of the deviatoric stress tensor is expressed as a function of the deviatoric strain increment, and the increment of the mean stress is expressed as a function of the mean strain increment. The tensor form of the incremental constitutive relation is written in matrix form. This method has been programmed, and the numerical results obtained from the program agree well with the experimental results in specimen-level experiments on solid rocket motor propellant grains.

The invention relates to a dual-mode control method and system suitable for a network construction type energy storage converter, and the method comprises the steps: building a power and virtual impedance dynamic mapping model, and achieving the dynamic mapping between the power and virtual impedance through building a mathematical relation model between the power and virtual impedance; a state prediction and compensation mechanism is introduced, a feedforward compensation link based on a system state prediction algorithm is designed, transient behaviors possibly occurring in the switching process are subjected to prospective suppression, a self-adaptive virtual impedance adjustment strategy is designed, and dual-mode seamless switching control is achieved. According to the invention, efficient and stable switching of the energy storage converter in the island and grid-connected operation states is ensured. Key technical support is provided for a smart power grid, and the flexibility and reliability of a power system are remarkably improved.

The invention discloses an arbitrary thread form hexahedral mesh modeling method based on parameterization control, and relates to the technical field of bolt modeling. Decomposing the tooth profile of the complete pitch cycle corresponding to the target tooth angle into a plurality of feature line segments, converting the curve profile corresponding to each feature line segment into a solvable geometrical relationship, and determining a mathematical relationship of any point coordinate on the profile corresponding to each feature line segment; integrating the mathematical relationships corresponding to the feature lines to obtain an external thread curve formula of the target thread angle; parameterizing an external thread curve formula of the target thread angle through an equation driving curve function in SOLIDWORKS software to obtain an external thread profile curve of the target thread angle bolt; and based on the external thread profile curve of the target thread angle bolt, drawing a two-dimensional plane grid of the bolt, and further obtaining a three-dimensional thread hexahedral grid of the target thread angle bolt. By means of the method, modeling of any thread form can be achieved, and the application range of finite element analysis is greatly expanded.

The invention provides a discrete memristor design method and circuit implementation based on a tangent function, and belongs to the field of circuit design, and the method comprises the steps: building a discretization iteration mathematical model of a high-frequency discrete grounding memristor, and the model is used for describing the mathematical relationship among an input voltage, a memristor current and a state variable under the AC voltage input; based on the discretization iteration mathematical model, a modular circuit frame used for achieving the model is constructed, and the modular circuit frame comprises a discrete sampling and iteration module, a memory-conductance function synthesis module and a current generation module; according to a modular circuit framework, a tangent function module and an absolute value function module are determined to construct a memristor function synthesis module, a discrete sampling and iteration module and a current generation module are matched, and circuit design of the discrete memristor based on the tangent function is completed through connection of corresponding circuit elements. The function of the high-frequency discrete grounding memristor is effectively realized, and the adaptability and the stability of the memristor in a complex circuit environment are improved.

The invention belongs to the technical field of aircraft performance design, and particularly relates to a load range model research method for a transport aircraft, which comprises the following steps of: firstly, constructing a weight parameter model for aircraft load range evaluation by combining a typical mission profile according to the maximum takeoff weight of a transport aircraft and aircraft weight statistical data; then developing a flight distance performance model for load range evaluation based on the specific range parameter of each task section of the transport plane; and finally, inputting data of different load conditions of the transport aircraft by taking the load voyage calculation model as a carrier, and calculating a corresponding voyage result and an operation efficiency result. In this way, construction of a transport aircraft load range model and evaluation of a load range result are achieved. Through an overall weight model, a mission profile model and a flight performance model of the transport aircraft, a set of mathematical relationship between key design parameters and core capability indexes of the transport aircraft is established, and the mathematical relationship is used for evaluating voyage and operation efficiency results under different load conditions. The method is visual and clear, and the calculation process is convenient.

An edge device feature engineering application is provided. An industrial gateway device supports an interactive feature engineering tool that guides a user through an intuitive process to configure data analysis for a key performance indicator (KPI) of interest. A feature engineering interface presents an interactive model view that displays available data points organized hierarchically according to a plant, machine, machine attribute, or other element. A user can select data points from the model view that have an impact on the KPI of interest. The interface also allows the user to define an executable script that defines a mathematical relationship between the selected data points and the KPI. The configuration produces an output model that defines a reduced set of data points to collect and analyze, along with the executable script, to evaluate the relationship of the KPI's status to the reduced data point values.

The invention discloses a gravity dam deformation monitoring method based on intelligent analysis. In the service process of a dam, deformation monitoring data are usually complex, non-stable and non-linear time sequences, and a simple and clear mathematical relationship is often difficult to establish. According to the method, hyper-parameters are optimized by using a northern eagle optimization algorithm, wherein the hyper-parameters comprise an initial learning rate, a BiLSTM neuron number, a key value number of a self-attention mechanism and a regularization parameter; the optimal hyper-parameter combination is applied to a CNN-BiLSTM-Attention model, and a concrete dam deformation prediction model is formed. The method has excellent prediction precision and long-term prediction performance, and a new method is provided for high-precision prediction of dam deformation.

The present application belongs to the field of geophysical exploration, and particularly relates to a method for calculating acoustic curve by using elastic parameters of drilling core to constrain, which comprises the following steps: step 1, obtaining logging resistivity curve of drilling in a study area; step 2, obtaining core samples of different lithology at each depth of the drilling; step 3, measuring elastic parameters of the core samples, including acoustic velocity and resistivity; step 4, establishing mathematical relationship of resistivity and acoustic velocity parameters of different strata and different lithology; step 5, establishing geological model of the drilling according to logging results of the drilling; and step 6, calculating acoustic velocity curve of the drilling based on the geological model of the drilling and the fitted mathematical relationship. The method can obtain accurate stratum acoustic curve by calculating pseudo-acoustic curve through the constraint of elastic parameters of drilling core.

According to the data processing method provided by the embodiment of the invention, the round constant in the SM3 compression function is masked, and the condition that an attacker speculates an intermediate value related to a key through the known round constant is avoided, so that the side channel attack resistance of the data processing method is improved. Specifically, in the data processing method provided by the embodiment, a round constant is replaced with a mask constant, and the mask constant participates in the operation in a randomized form, so that an attacker cannot predict an intermediate result containing the round constant, and the basis for establishing a differential model is destroyed. Besides, in order to ensure correct operation of the mask constants in the SM3 compression function, a first mask of the mask round constant is compatible with a second mask of the mask state variable, specifically, the first mask and the second mask are the same random number or have a certain mathematical relationship, and are located in the same mask domain in the same operation step. It is ensured that the two can be directly and safely operated in the mask domain, and the plaintext does not need to be exposed.

The invention belongs to the field of intelligent manufacturing of vehicle parts, and particularly relates to an intelligent control method, system, equipment and medium for wheel manufacturing defects, according to a wheel casting mold for actual production, mold and wheel geometry 3d is established, and experimental design is carried out aiming at process control parameters in the wheel casting process. And processing the database to obtain a mathematical relationship between process parameters and casting defects, carrying out a wheel casting process according to an optimal process parameter scheme, detecting internal defects of the wheel, and judging that the defect size of each part is compliant according to wheel casting defect data. According to the method, customized casting defect intelligent control of each wheel type is achieved, on one hand, the problem that an existing wheel casting intelligent control method is insufficient in generalization ability is solved, and on the other hand, the time cost, the labor cost and the material cost in the field debugging process are saved.

The application provides a design method of a involute type thread on a shaft shoulder and a friction stir welding tool, and comprises the following steps: performing sensitivity analysis on a plurality of parameters of the involute thread, screening out key parameters affecting welding quality, and preliminarily determining a feasible range of the key parameters; according to the determined key parameters and the feasible range, preliminarily processing the involute thread on a to-be-processed stirring tool, and welding a test plate through the processed stirring tool to obtain processing parameters of the stirring tool; based on a Box-Behnken response surface method, taking the screened key parameters as independent variables and taking the processing parameters of the stirring tool as response variables, fitting a second-order polynomial model through a least square method, establishing a mathematical relationship between the involute thread parameters and the response variables, and calculating to obtain optimal involute thread parameters; and performing a process test to determine a stability interval of welding parameters. The application realizes fine design of the involute thread.

A control device for controlling a first variable physical parameter characterized based on a physical parameter application state includes a sensing unit and a processing unit. The sensing unit sensing a second variable physical parameter to generate a sense signal, wherein the second variable physical parameter is characterized based on a physical parameter application range represented by a measurement value application range. The processing unit is coupled to the sensing unit, obtains a measured value in response to the sense signal, and causes the first variable physical parameter to be in the physical parameter application state under a condition that the physical parameter application range which the second variable physical parameter is currently in is determined by checking a mathematical relation between the measured value and the measurement value application range.

The present invention discloses an analytic method of high-order mutual coupling effect of an antenna array based on infinitesimal dipole model, which comprises the following specific steps: step 1, calculating a mutual admittance between radiating elements, and constructing a mathematical relation of first-order and high-order mutual coupling effects; and step 2, establishing an admittance expression considering high-order mutual coupling effect of an N-element array. The method further improves a calculation accuracy of an antenna array radiation field by considering high-order mutual coupling effect between radiating elements.