60 results about "Rotational transformation" patented technology

The invention discloses a 3D printing path planning method based on electric arc additive anisotropy and a stress field, and the method comprises the steps: constructing a CAD three-dimensional model of a part, and obtaining the stress field of the part through finite element simulation; determining a slice plane; mapping the stress field to a slice plane to form a force flow line; according to the obtained force flow line, rotation transformation regeneration is carried out according to the anisotropy of the used electric arc additive, and a reference trajectory considering the anisotropy of the material is obtained; under the principle of alternate arc starting and extinguishing, the corresponding printing sequence in the layers and between the layers is further planned, and the reference trajectory lines are connected end to end to be planned into a continuous path; and generating a code file, and printing according to the printing sequence. The comprehensive mechanical property of a printed piece is improved.

The invention provides a robot action redirection method, a storage medium, electronic equipment and a product, and relates to the field of robot control. The method comprises the steps that motion data of a to-be-simulated object and pre-configured joint offset parameters are obtained, wherein the joint offset parameters are used for describing rotation transformation data from a joint coordinate system of the to-be-simulated object to a joint coordinate system of a robot; based on the joint offset parameters, joint offset mapping from the to-be-simulated object to the robot is established; and based on the joint offset mapping, converting the motion data of the to-be-simulated object into motion data of the robot so as to drive the robot to execute corresponding actions. According to the method, the difference between the to-be-simulated object and the robot in joint coordinate system rotation transformation can be effectively eliminated, the physical feasibility and motion naturalness of robot actions are ensured, and the interaction requirements in a complex interaction scene are met.

A graphics processing system that provides a micromap defining property values for sub-regions of a primitive of a scene to be rendered; and generates a first tree representation of the micromap; and applies a first barycentric rotational transform to the micromap and for the first barycentric rotational transform generates a second tree representation of the micromap; and selects one of the first or second tree representations for processing as the selected tree representation. The selected tree representation of a micromap is used when it is desired to determine whether and / or how a ray interacts with a sub-region of a primitive, the tree representation of the micromap is traversed to determine a property value for the sub-region of the primitive.

The present invention discloses a method and system for identifying and controlling extreme horizontal wind shear for a wind turbine, including: obtaining blade root bending moments in two directions of the blade root, namely, the blade root flapping bending moment and the blade root shimmy bending moment; obtaining the blade root out-of-plane bending moment through rotational transformation based on the current measured pitch angle; obtaining the current blade azimuth angle, performing coordinate transformation on the blade root out-of-plane bending moment, and calculating the rotor shimmy bending moment; calculating the horizontal wind shear coefficient based on the rotor shimmy bending moment and the current average wind speed; identifying the current wind condition as extreme horizontal wind shear when the horizontal wind shear coefficient exceeds a preset threshold; and when the current wind condition is identified as extreme horizontal wind shear, calculating and outputting an additional independent pitch control command, which is superimposed on the pitch control command output by the pitch controller, so that the additional bending moment generated on the rotor counteracts the rotor shimmy bending moment. The present invention identifies whether the current condition is extreme horizontal wind shear based on the measured blade root load and reduces the load by providing the additional independent pitch control command.

The present application belongs to the field of permanent magnet synchronous motor control technology, and relates to a kind of permanent magnet synchronous motor torque ripple compensation control method, comprising: acquisition stator phase current and cross axis given current, generate cross axis and straight shaft feedback current by coordinate rotation transformation;Extract cross axis and straight shaft harmonic current;According to the period difference of cross axis current feedback residual error, calculate cross axis time delay distortion coefficient;The coefficient is in situ input coordinate rotation transformation correction rotor electric angle, and combine electric angle change rate to calculate phase angle advance compensation angle;Using the angle to calibrate harmonic current space phase to synthesize offset current instruction and superimposed output, the present application eliminates control loop timing response lag, makes compensation current maintain spatial orthogonal state with rotor harmonic magnetic field under variable speed condition, avoid positive feedback excitation, guarantee the steady convergence and stability of closed loop.

This application discloses a positioning method for a motion mechanism. The method includes: on a control side used for controlling the motion mechanism, acquiring a transformation relationship, wherein the transformation relationship characterizes the translational and rotational transformations between the motion mechanism in a first state and the motion mechanism in a second state; using the transformation relationship, determining the spatial position information of the point to be positioned in the motion mechanism in the second state based on the spatial position information of the point to be positioned in the motion mechanism in the first state, wherein the second state is a running state. This application is compatible with various two-dimensional positioning application scenarios, has higher portability and versatility, and possesses better geometric interpretation than planar point operations, thus improving the development efficiency of intelligent control of motion mechanisms.

The invention discloses a vibration reduction periodic structure for guiding directional transmission of vibration energy and a design method, and the vibration reduction periodic structure is formed by combining two basic unit cells with symmetrical structures to form the vibration reduction periodic structure in array arrangement; two basic unit cells are arranged on the two sides of a transmission path used for guiding directional transmission of vibration energy in the vibration reduction periodic structure respectively. Each basic unit cell is formed by original unit cells through rotation transformation; the original unit cell is of a hollow hexagonal embedded fan blade structure and comprises a hollow regular hexagonal frame and a plurality of fan blades evenly distributed on the inner side of the hollow regular hexagonal frame. The two basic unit cells in the vibration reduction periodic structure are obtained by rotating the fan blades in the original unit cells by the same angle in the forward direction and the reverse direction respectively. The problems that the implementation difficulty is increased and the vibration reduction effect is not ideal under the trend that a vibration structure system develops towards the direction of complexity, large scale and function diversification in an existing mode for reducing or avoiding harmful vibration are solved.

This invention discloses an IPMSM position estimation method and system based on rotating high-frequency injection, comprising: (1) injecting a high-frequency voltage signal into the stationary α-β coordinate axis of the motor; (2) sampling the three-phase current and obtaining the two-phase stationary coordinate system through Clark transformation; (3) obtaining the fundamental current through a notch filter; (4) obtaining the high-frequency response current of the stationary α-β coordinate axis; (5) rotating the transformation and obtaining the high-frequency response negative sequence current through low-pass filtering; (6) designing and modulating the compensation phase; (7) cross-multiplying the compensation phase vector with the modulated compensation phase vector to obtain the estimated angular velocity and rotor position of the motor. This invention uses a notch filter to process the signal, eliminating the band-stop filter in the d-axis and q-axis current feedback loop in the control loop, thus simplifying the system complexity; by compensating for the rotor position lag angle, it increases the system stability and improves the rotor position identification accuracy.

This application discloses a positioning control method, system, equipment, and medium for aerospace forgings, relating to the field of intelligent manufacturing technology for aerospace forgings. The method includes the following steps: acquiring a theoretical digital model of the target forging and a three-dimensional digital model of the target mold to obtain the theoretical placement pose of the target forging; acquiring a three-dimensional scanning digital model of the target forging after the manipulator grips it to obtain a rotation matrix R and a translation vector T; wherein the rotation matrix R represents the rotational transformation from the actual pose of the target forging to the theoretical placement pose, and the translation vector T represents the spatial offset of the target forging; and inputting the rotation matrix R and translation vector T into a preset trajectory planning model to generate the optimal motion trajectory for the manipulator to transport the target forging to the target mold. This application has the advantages of improving the placement positioning accuracy and efficiency, and improving the performance of the final product.

The invention relates to a method for predicting concentricity of first and second fulcrums of an aero-engine fan casing. Comprising the following steps: measuring mounting side column jump and end jump data of each stage of receiver and a first and second fulcrum bearing seat; defining a global coordinate system of the assembly body, and determining a machining error matrix and a high-low point position matrix according to end jump and column jump measurement data of the mounting side of each stage of rotor; determining an installation phase matrix of each stage of cartridge receiver; determining a positioning error matrix caused by coordinate translation transformation and a directional error matrix caused by coordinate rotation transformation after all the fan casings and the first and second fulcrum bearing seats are assembled; then determining a mounting seam allowance matching error matrix caused by deformation of the mounting edge; secondly, determining global positioning and orientation matrixes of the casings and the bearing seats at all levels after translation, rotation and high-low point corresponding deformation transformation; and finally, determining the global positioning and orientation matrix of the assembly, and determining the concentricity of the first and second fulcrums of the fan casing. According to the method, the false assembly workload is reduced, and the assembly efficiency of the fan unit body is improved.

This invention provides a seamless trapezoidal correction method, a projection device, and a storage medium. The method includes the following steps: obtaining the attitude angle of the projection device; obtaining a first rectangular reference area based on a preset rotation transformation relationship, the attitude angle, and the original rectangular projection area; mapping the first rectangular reference area to a first plane based on the projection transformation relationship to obtain a second trapezoidal reference area; obtaining a second rectangular reference area with a preset aspect ratio within the second trapezoidal reference area; mapping the second rectangular reference area to the first rectangular reference area according to the inverse transformation relationship of the projection transformation relationship to obtain a third trapezoidal reference area; obtaining a fourth trapezoidal reference area according to the inverse transformation relationship of the rotation transformation relationship; and adjusting the projection area based on the fourth trapezoidal reference area. Using this method and the projection device and storage medium carrying this method, seamless correction is achieved, improving the user experience.

The present invention discloses a calculation method and system for reducing the storage overhead of the rotation transformation in FFT. The method includes: Step 1, calculating n2 discrete Fourier transforms of length n1, where the on-chip cache of the processor can store at most the data required for calculating m discrete Fourier transforms of length n1, and m = on-chip cache of the processor / cache required for calculating the discrete Fourier transform of length n1; Step 2, calculating the rotation factor, performing the rotation transformation, and calculating n1 discrete Fourier transforms of length n2, where the on-chip cache of the processor can store at most the data required for calculating t discrete Fourier transforms of length n2. While maintaining a relatively low computational amount, the present invention effectively reduces the cache overhead required for calculating the rotation factor.

The application discloses a point cloud 3D object detection method not influenced by rotation transformation, comprising the following steps: (1) regarding the network weight of the first layer of the neural network as a vector set distributed in a feature space with the same dimension as the point cloud feature; (2) performing seed point sampling and neighborhood aggregation on the input point cloud data to obtain the local point cloud around each seed point; (3) performing principal component analysis on the network weight and the local point cloud; (4) aligning the weights of the network weight and the local point cloud to obtain a feature with rotation invariance; (5) inputting the local point cloud feature of step (4) into the neural network for feedforward transmission, detecting the prediction of the head output 3D object frame of the network; (6) training the neural network through gradient back propagation; and (7) after the training is completed, performing a 3D object detection task on the point cloud. According to the application, the classification accuracy of the point cloud under arbitrary rotation transformation can be greatly improved, and thus the accuracy of the 3D object detection task can be improved.

The application discloses a polar coordinate decoupling-based image mirroring and rotating unified transformation method, which comprises the following steps: S10, inputting parameters: an original image, a transformation center point coordinate, a mirroring direction parameter and a rotating angle; S20, traversing each pixel position of an output image; S30, unified mirroring and rotating transformation mapping; S40, interpolation sampling; S50, assigning to the output image; S60, traversing all pixels until completion; and S70, outputting the image. The application abandons the traditional linear algebra idea of firstly constructing a mirroring matrix and then multiplying the mirroring matrix with a rotating matrix, and instead reconsiders the combined operation of mirroring and rotating from the perspective of polar coordinate transformation. In a local polar coordinate system around an arbitrary specified center point, the mirroring operation can be regarded as a sign operation or a shift operation on a polar angle, and the rotating is an addition operation on the polar angle. The two can be combined into a simple expression in the polar angle domain.

The embodiment of the application discloses a rotor position detection method and detection circuit of a three-phase permanent magnet motor, acquires two-phase back electromotive force; performs coordinate transformation on the two-phase back electromotive force to obtain a rotating transformation component, and adjusts an estimated angular velocity according to a real-time value of the rotating transformation component, so that the real-time position of the motor rotor can be obtained, and the accuracy of the position of the motor rotor is ensured.

In one example, a method includes determining a feature displacement gradient (DG) tensor characterizing a deformation feature. The method includes, in an iterative routine, calculating an objective function value associated with a trial DG tensor, the calculating based at least in part on pixel values within an automatically determined ZOC, where the ZOC is based at least in part on the trial DG tensor. In another example, a method includes determining one or more rotational transformation components corresponding to a test image, and determining a feature DG tensor based at least in part on the rotational transformation components. In another example, a system includes an electro-optical assembly, a detector assembly, and a controller programmed to determine a feature DG tensor. In another example, a non-transitory computer-readable medium stores instructions that, when executed by a computer, cause the computer to perform a method of determining a deformation characteristic.

The invention discloses a robot servo motor load rate detection method and device and a medium, and the method comprises the following steps: dividing robot parts according to motion joints, and measuring the quality information of each part; joint coordinates of all parts and a rotation matrix are established according to the rotation joints of the robot, and the rotation matrix comprises the rotation angle of the current axis of the robot; establishing a rod length matrix of each part of the robot according to the robot joint coordinates, and establishing a rod length matrix of each part of the robot after rotation transformation by combining the joint rotation matrix; carrying out translation and rotation transformation on the rotational inertia of the coordinate axis by the robot component to obtain the inertia of each joint of the robot after translation and rotation transformation; and calculating a joint motor load rate according to the speed reducer acceleration and deceleration capability and the motor overload capability. The method has the advantage that the load rate of each shaft joint motor of the robot in any posture can be obtained.

The invention discloses a chiral metasurface construction method based on rotation transformation, a metasurface device comprises a substrate and a chiral metasurface located on the substrate, and the chiral metasurface is a rectangular nanorod array arranged periodically. The metasurface unit is composed of rotating rectangular silicon nanorods, and selective regulation and control of spin angular momentum of incident light are achieved by introducing in-plane mirror symmetry of a geometric rotation destroying structure. Simulation results show that the metasurface shows remarkable circular dichroism at the resonant wavelength of 633 nm, the transmissivity of the metasurface to left-hand circularly polarized light reaches up to 73%, and meanwhile the transmissivity of right-hand circularly polarized light is restrained to 2%. The device has the advantages of compact structure, easiness in integration and the like, and is expected to provide an effective solution for chiral biosensing application.

The present invention relates to a method for generating a controllable parametric model of a three-dimensional braided composite material. By using the kinematic analysis of the four-step three-dimensional braiding process, a trajectory model of the three-dimensional braided preform is generated. Based on the parametric modeling of the trajectory, the geometric reconstruction of the yarn cross-section is implemented. Then, multi-scale pore primitives are generated by randomizing the geometric parameters of the ellipsoid, and randomly placed after random rotation transformation using Euler angles to enhance the spatial heterogeneity characteristics of the pore morphology. Subsequently, using the model dynamic compaction algorithm, a physical accurate simulation of the densification behavior of the yarn and pores during the compaction process is achieved. Finally, using the three-dimensional crack random generation algorithm, the crack characteristics inside the yarn during the compaction process of the three-dimensional braided composite material are accurately simulated, and a three-dimensional braided parametric random model can be obtained. The present invention accurately reproduces the topological structure of the yarns, the initial pore distribution, and the initial damage characteristics inside the three-dimensional braided composite material specimen.

In an example, a method includes determining a characteristic displacement gradient (DG) tensor that characterizes a deformation characteristic. The method includes, in an iterative routine, calculating an objective function value associated with a trial DG tensor based, at least in part, on pixel values within a zone of consideration (ZOC) that is determined automatically based at least in part on the trial DG tensor. In another example, a method includes determining one or more rotational transformation components corresponding to a test image and determining a characteristic DG tensor based at least in part on the rotational transformation component(s). In another example, a system includes an electron optics assembly, a detector assembly, and a controller programmed to determine a characteristic DG tensor. In another example, a non-transitory computer readable medium stores instructions which, when executed by a computer, cause the computer to perform a method of determining a deformation characteristic.

The invention relates to an inclination angle compensation method, system and device for a crystallizer vibration test and a storage medium. The method comprises the steps that initial acceleration data, collected by a three-axis accelerometer of a crystallizer in a static state, of a machine body coordinate system are acquired; based on the initial acceleration data of the airframe coordinate system, constructing a rotation conversion relation from the airframe coordinate system to a natural coordinate system; in the vibration testing process, real-time acceleration data, collected by the three-axis accelerometer, of a machine body coordinate system are obtained in real time; and converting the real-time acceleration data into compensation vibration data under a natural coordinate system based on the rotation conversion relation. Through data processing such as inclination angle calculation and coordinate conversion, the inclination angle is directly compensated without manually leveling the vibration tester, so that the vibration data of the crystallizer can be obtained.

The invention particularly discloses a rapid reconstruction method for a three-dimensional model of a steel ingot in the cogging process, and relates to the technical field of metal forging intellectualization. The method comprises the following steps: inputting an initial three-dimensional model of a steel ingot, detecting the size, uniformly slicing along the length direction, and independently numbering; shooting a front image of the steel ingot in real time through a black-and-white industrial camera, and extracting a current contour boundary; then the extracted contour is compared with the previous iteration contour of the corresponding slice, whether the slice is a deformed slice is judged, and the pressing position and displacement of the pressing head are obtained; the pressing condition of the pressing head is monitored in real time, the deformed slices are updated, and non-deformed slice data are reserved; for a rotating steel ingot, analyzing a pose signal of an operation machine to generate a rotating transformation matrix, and performing angle compensation on an affected slice to update a spatial orientation; and finally, a cyclic detection mechanism is adopted until forming is finished. According to the method, rapid reconstruction and real-time updating of the steel ingot three-dimensional model are achieved, the measurement precision and efficiency are improved, and support is provided for intelligent control of the cogging process.

The invention discloses a stacking method considering elastic deformation of mounting edges of aero-engine rotor parts, which comprises the following steps of: defining a global coordinate system of an assembly body, and determining a processing error matrix and a high-low point position matrix according to end jump and column jump measurement data of each stage of rotor mounting edge; determining an installation phase matrix of the ith-stage rotor; determining a positioning error matrix caused by coordinate translation transformation and a directional error matrix caused by coordinate rotation transformation after the n-stage rotor is assembled; determining a mounting seam allowance matching error matrix caused by elastic deformation of the mounting edge; determining a global positioning and orientation matrix of the k-stage rotor after translation, rotation and high and low point corresponding elastic deformation transformation; and then determining a global positioning and orientation matrix of the assembly, determining a stacking optimization model of the concentricity and coaxiality of the n-stage rotors, and finally performing optimization calculation on the installation phase of each stage of rotor by using a genetic algorithm according to the optimization model. According to the method, the aero-engine rotor assembly quality is better, and the one-time success rate is higher.

The invention discloses a tail clamp locking and fixing device. The tail clamp locking and fixing device comprises a locking and fixing frame. A rotating mechanism used for rotating and adjusting is arranged at the bottom of the locking and fixing frame. Through the arrangement of the rotating mechanism, the supporting mechanism and the angle locking mechanism, the connector has the advantages of being simple in structure, light, reasonable, convenient to use, high in applicability, capable of being suitable for most connectors with positioning point openings meeting the requirements, capable of conducting adjustment operation according to the actual use requirement, convenient to use and high in practicability. Free rotation transformation among the rotating mechanisms can be guaranteed through the arrangement of the rotating mechanisms, the positions of the embedded supporting legs are controlled, the three supporting mechanisms can not only support the rotating mechanism on the top, but also control the opening angle of the needed support according to needs, and the supporting efficiency is improved. And the extension length of the support is freely adjusted according to the extendable effect, the angle locking mechanism is mainly used for locking the opening and closing angles of the three sets of support mechanisms, it is guaranteed that fixing and locking are carried out after opening and closing, and free change is avoided.

An operation method of a first communication node in a communication system may include: generating a base sequence; performing a quadrature phase shift keying (QPSK) operation on the base sequence; generating a first signal sequence by performing a rotational transform operation by a first angle on a complex plane with respect to a result of the QPSK operation; modulating the first signal sequence to generate first modulation symbols; and transmitting a first signal composed of the first modulation symbols to a second communication node, wherein each of a plurality of elements constituting the first signal sequence has a real value or a pure imaginary value.

This invention relates to the field of automotive mold design technology, and discloses a method, apparatus, equipment, and storage medium for smoothing the filler surface based on curve fitting. The method involves obtaining a set of height points from all height points of a cross-sectional line, calculating the rotation angle, and establishing a rotation transformation matrix based on the rotation angle for directional rotation processing. The height point set obtained after rotation is used as the fitting curve point set, and the fitting curve point set is processed for curve fitting. Data fusion is then performed to obtain XYZ discrete data points. An inverse rotation transformation is performed on the XYZ discrete data points, and a NURBS spline is created based on the transformed discrete data points as the optimization curve for the filler surface. New geometric parameters of the cross-sectional line are solved based on the target height point, and the optimized cross-sectional line is used to construct the filler surface, resulting in a smooth filler surface with height variations. This invention effectively solves the wavy surface defect of the filler surface, eliminates the need for manual adjustment of the cross-sectional line, and balances design speed and accuracy.

The invention provides a robot FKM kinematics modeling method, and aims to solve the problems of rotation and translation coupling, non-intuitive parameter significance, complex modeling and the like in the existing robot kinematics modeling process. The method comprises the following steps: establishing a joint coordinate system of the robot, and determining a transformation parameter of each joint and a homogeneous transformation matrix of an adjacent coordinate system; wherein the expression of the homogeneous transformation matrix has two forms according to different joint types, and the expression of a rotating joint is as shown in the specification, and the expression of a moving joint is as shown in the specification. A translation transformation matrix of the coordinate system relative to the coordinate system is in the formula; the rotation transformation matrix is a rotation transformation matrix rotating around the translated X axis; the forward kinematics model of the robot can be obtained by sequentially multiplying the homogeneous transformation matrixes of all the joints for the rotating joints as a rotation transformation matrix rotating around the rotated Z axis and for the moving joints as a translation matrix moving along the rotated Z axis. According to the method, basic transformation and joint variables of the coordinate system are decoupled, so that the modeling process is more visual, the parameter significance is clearer, and the method can be widely applied to the field of kinematics modeling and control of industrial robots and service robots.

The present invention provides a method and device for multi-cycle absolute phase calculation. The method collects first and second phase signals with different periods and processes them into non-orthogonal oblique trajectories. These trajectories are converted into complex form and then rotated and aligned by a set rotation angle. The rotated complex trajectories are then processed into discrete segments and interpolated to obtain the absolute phase. This method utilizes multi-cycle modulo phase signals to form non-orthogonal oblique trajectories, which are aligned with the rotation angle using complex representations. This achieves structural normalization, eliminates table lookup and inverse solution modules, and enables real-time angle recovery. The method is applicable to any period combination (including both coprime and non-coprime cases), offers high computational efficiency and accuracy, and can be directly deployed in an MCU / FPGA for real-time absolute phase calculation.

The application provides a kind of based on coordinate transformation realizes accurate feeding method of mechanical arm, this method is first assembled calibration needle and completes system self-checking, three-point method is used to establish user coordinate system of material taking area and feeding area respectively;Visual planning feeding and unloading point, generate no compensation initial coordinates;Through single feeding fine adjustment, collect compensation value, and in 0°, clockwise 90°, counterclockwise 90° three attitudes, batch collection multiple samples;Subsequently, the compensation data is substituted into the coordinate transformation algorithm, and the basic error of the origin offset and axial deflection of the two area coordinate systems is solved;Finally, combined with the actual rotation angle of the workpiece and the rotation transformation formula, the dynamic compensation parameters are calculated in real time and superimposed to the initial coordinates, and the mechanical arm is driven to complete the no demonstration accurate feeding.The application does not need artificial demonstration and three-dimensional model, and the calibration cost is low, the adaptability is strong, the full attitude adaptive compensation can be realized, the positioning accuracy and operation efficiency of mechanical arm feeding and unloading are effectively improved, and it is suitable for precision automatic production line.

The application belongs to the technical field of large radio telescope, and provides a kind of spherical radio telescope active reflecting surface shape adjusting method and system, first, the reference spherical radius and focal ratio are obtained, the coordinate system is updated, and the ideal parabolic surface of the observed celestial body is determined;Then, the coordinates of each node under the original coordinate system and the azimuth and elevation of the measured celestial body are obtained, and the position coordinates of each node under the new coordinate system are obtained through rotation transformation;The center of the ideal parabolic surface aperture is calculated, and the to-be-adjusted node is determined in combination with the reference spherical radius;Finally, the sum of the square of the distance between the coordinates of all to-be-adjusted nodes in the radial direction of the working parabolic surface and the ideal parabolic surface is minimized as the target, the target coordinates of all to-be-adjusted nodes are determined, and the extension amount of the top end of the actuator is calculated, so that the working parabolic surface is as close as possible to the ideal parabolic surface, to obtain the best receiving effect of the electromagnetic wave of the celestial body reflected by the reflecting surface.