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323 results about "Shape function" patented technology

Shape Functions. The Shape Functions or basis fuctions[1] are used to obtain an approach solution () to the exact solution () in the Finite Element Method as a lineal combination of some kind of well known functions .

Chromatographic and mass spectral date analysis

Apparatus, methods, and computer readable media having computer code for calibrating chromatograms to achieve chromatographic peak shape correction, noise filtering, peak detection, retention time determination, baseline correction, and peak area integration. A method for processing a chromatogram, comprises obtaining at least one actual chromatographic peak shape function from one of an internal standard, an external standard, or an analyte represented in the chromatogram; performing chromatographic peak detection using known peak shape functions with regression analysis; reporting regression coefficients from the regression analysis as one of peak area and peak location; and constructing a calibration curve to relate peak area to known concentrations in the chromatogram. A method for constructing an extracted ion chromatogram, comprises calibrating a low resolution mass spectrometer for both mass and peak shape in profile mode; performing mass spectral peak analysis and reporting both mass locations and integrated peak areas; specifying a mass defect window of interest; summing up all detected peaks with mass defects falling within the specified mass defect window to derive summed intensities; and plotting the summed intensities against time to generate a mass defect filtered chromatogram.
Owner:CERNO BIOSCI

Frequency dependent excursion limiter

A circuit and method provides for the protection of transducers from over excursion, particularly for the protection of transducers for audio loudspeakers. A frequency dependent excursion limiter circuit has an initial summing stage followed by a shaping filter stage. A clamping function is provided at the summing stage, or at a separate stage between the summing stage and the shaping filter stage, for clamping the driving signal at a predetermined maximum voltage if the driving signal exceeds the predetermined maximum voltage level. The shaping filter stage provides a frequency response shaping function based on a predetermined frequency response shaping criteria which is related to the frequency dependent excursion limits of the transducers being protected from mechanical overload. An inverse shaping filter function is provided at the initial summing stage by providing feedback from the shaping filter stage, thus eliminating the need for a separate inverse shaping filter circuit before clamping. The inverse shaping filter function allows low level signals below clamping to pass through the circuit unaffected.
A frequency dependent excursion limiter circuit is also provided in the closed loop circuit of servo feedback system for protecting transducers in a servo feedback system from over excursion.
Owner:MEYER SOUND LABORATORIES

Method for regulating speed of brushless direct current motor supplied with power by four-switch three-phase inverter

The invention relates to a method for regulating a speed of a brushless direct current motor supplied with power by a four-switch three-phase inverter, and belongs to the field of speed regulation of a direct current motor. The method solves the problem that unfixed switch frequency of hysteresis loop modulation in the control of the conventional brushless direct current motor. The method is realized based on a speed loop PI regulator, a speed calculation unit, a current shape function unit, a given current coordinate conversion unit, an alpha-axis current PI regulator, a beta-axis current PI regulator, a flux linkage tracing PWM unit, a feedback current coordinate conversion unit, a four-switch three-phase inverter, a current sensor and a Hall pole sensor, and adopts rotational speed and current double closed-loop control; an outer loop is a rotational speed ring; the outputs of the rotational speed ring are given as current values; the method multiples the current values by the current shape function unit respectively to realize the preset of three-phase 120-degree symmetrical square-wave current, establishes a current closed loop in a two-phase stationary coordinate system by coordinate conversion, and realizes the control of the four-switch three-phase inverter through the flux linkage tracing PWM unit. The method is used for controlling the speed regulation of the brushless direct current motor.
Owner:HARBIN INST OF TECH

Method for building accurate molded surface of automobile covering part drawing mold

The invention discloses a method for building an accurate molded surface of an automobile covering part drawing mold. According to the method, the distribution condition of thicknesses of different areas of a formed part is obtained through stamping simulation calculation; according to thickness information of each node, a convex-concave mold tool grid is adjusted to build an accurate molded surface grid model suitable for thickness distribution of the part by means of the methods of grid mapping, shape function interpolation, node deviation and the like. On the basis of the adjusted tool grid, according to the offset of the nodes of the grid, corresponding offsetting is carried out on corresponding curved surface pieces of the molded surface of the mold and control vertexes of cutting lines of the molded surface, so that curved surfaces automatically deform along with the changes of the grid model, and accordingly the accurate molded surface, suitable for changes of the thicknesses of the part, of the mold is built. According to the method, the matching rate of the molded surface of the mold is improved in terms of design of the molded surface of the mold. Particularly, under the condition that the thinning ratio is large after plastic deformation of a plate occurs, the matching rate of the molded surface of the mold can be obviously improved, the manufacturing efficiency of the mold is improved and manufacturing cost of the mold is reduced.
Owner:CENT SOUTH UNIV

Meshless cloth-based simulation method

The invention relates to a meshless cloth-based simulation method. The method comprises the following steps of: (a) parameterizing a given cloth model omega onto a middle surface lambda and determining a configuration before deformation and a reference configuration when calculation is started; (b) selecting a limited number of nodes in the parameterized middle surface lambda and determining a local subdomain omega s of each node; (c) calculating a shape function phi I in a definition domain of each node and calculating a derivative of the shape function; (d) determining Gauss integral points of all nodes, calculating a numerical integral and assembling a stiffness matrix; (e) assembling a node mass matrix and a viscosity matrix; and (f) determining the number of cycles according to the simulation time t and the set time step interval delta t to cycle the following steps for t/delta t times: calculating a rotated global stiffness matrix, implementing constraints on the global stiffness matrix, the node mass matrix and the viscosity matrix, obtaining and solving a system linear equation set according to time integral to obtain nodal displacement, implementing meshless collision detection and a response algorithm to modify the nodal displacement, and generating the displacement of all sampling points of each time step after re-sampling.
Owner:陈玉君 +1

Vibration response simulation analyzing method for rolling bearing with single-point failures

ActiveCN103927414ASolve the problem of long cycle and high costSpecial data processing applicationsEngineeringMATLAB
The invention relates to a vibration response simulation analyzing method for a rolling bearing with single-point failures. On the basis of a Hertz contact theory, related knowledge about kinematics and kinetics are utilized to establish a five-degree-of-freedom nonlinear vibration mode of a rolling bearing and kinetic differential equations of the rolling bearing while influencing factors like slipping of rolling balls, oil slick rigidity and the like are taken into consideration, according to that the rolling balls change due to contact deformation is caused when the rolling balls roll through partial failures, a partial failure model of the rolling bearing is introduced into the kinetic differential equations of the rolling bearing, and the single-point failures of the rolling bearing are classified according to length-width ratios of the failures and size ratios between the failures and the rolling balls so as to establish different failure shape functions; the differential equations are solved by an ode solver in MATLAB (matrix laboratory) software, and vibration responses of the rolling bearing are simulated when an inner ring, an outer ring and the rolling balls of the rolling bearing are suffered from the single-point failures. By the aid of the vibration response simulation analyzing method, vibration responses of the bearings with failures in different sizes can be simulated. Compared with traditional methods for acquiring vibration responses of failed bearings, the vibration response simulation analyzing method has the advantages that an experimental period is short and experimental cost is saved. The computation for the vibration responses for the failed rolling bearings can lay the foundation of late failure diagnosis for the rolling bearings.
Owner:BEIJING UNIV OF TECH

Automobile interior acoustic field prediction method based on partition-of-unity finite element-meshless cell

The invention discloses an automobile interior acoustic field prediction method based on a partition-of-unity finite element-meshless cell. The method comprises the steps of utilizing an automobile interior air acoustic cavity mesh model, defining the cell node support region of the automobile interior air acoustic cavity mesh model by use of the relation of a layer of connected nodes, constructing a local approximation function by use of a radial point interpolation method within the node support region of the automobile interior air acoustic cavity mesh model, and meanwhile, performing approximation by use of an isoparametric element shape function within the global mesh range of the automobile interior acoustic cavity, constructing a shape function and the gradient thereof at a Gauss integral point of the automobile interior acoustic cavity model in an isoparametric element integration manner, constructing the Galerkin weak-form of an acoustic equation of automobile interior acoustic cavity problems to obtain the system equation of the automobile interior acoustic cavity mesh model, thereby predicting the modal frequency and the mode of vibration of the automobile interior acoustic cavity, and meanwhile, predicting the acoustic response of the automobile interior acoustic cavity under the excitation of an engine and assessing the calculation results. The automobile interior acoustic field prediction method based on the partition-of-unity finite element-meshless cell is capable of obtaining better calculation results than a finite element method in the automobile interior acoustic cavity vibration noise prediction problem.
Owner:SOUTHWEST UNIV

Element shape function based reflector antenna electromechanical integration design method

ActiveCN104112051ARealize the application of mechanical and electrical integration designGuaranteed calculation accuracySpecial data processing applicationsElectricityElement model
The invention discloses an element shape function based reflector antenna electromechanical integration design method. The method particularly includes the steps: (1) inputting reflector parameters; (2) establishing a structural finite element model; (3) computing an ideal far-zone electrical field of a reflector antenna; (4) adding constraint or boundary conditions; (5) applying working load; (6) solving the finite element model; (7) extracting node, unit and shape function information; (8) computing an element coefficient matrix; (9) assembling an overall coefficient matrix; (10) computing variable quantity of the far-zone electrical field under the action of the load; (11) computing the far-zone electrical field; (12) judging whether electrical property meets requirements or not; (13) outputting an antenna structure design scheme; (14) modifying structure parameters. The element shape function based reflector antenna electromechanical integration design method has the advantages that the method overcomes the shortcoming of error introduction by a fitting method by extracting element shape functions in the structural finite element model, constructing the coefficient matrix and assembling the overall coefficient matrix, and is high in computing precision and less in computing quantity.
Owner:XIDIAN UNIV

Stereoscopic visual structure three-dimensional distortion full-field measurement method

The invention relates to a stereoscopic visual structure three-dimensional distortion full-field measurement method, aiming at solving the problems that the existing N-R method is large in calculating amount, more time-consuming, low in accuracy and poor in robustness, a larger error of the result is produced due to the improper selection of initial value calculated by using a least square method. The method comprises the following processes: 1, collecting an image of a civil experiment test piece so as to obtain initial three-dimensional coordinates of all grid nodes; 2, carrying out subdivision matching on all the grid nodes; if mismatching occurs during the subdivision matching, performing the step 3; if the subdivision matching is correct, obtaining coordinates of the matched grid nodes; 3, carrying out image matching on the mismatched nodes under the condition of large deformation so as to obtain coordinates of the matched grid nodes; 4, constructing a shape function so as to obtain a displacement field; 5, calculating the displacement field obtained in the step 4 by using a Green strain tensor so as to obtain a strain field, and outputting the displacement field and the strain field. The stereoscopic visual structure three-dimensional distortion full-field measurement method is used for the field of structure measurement.
Owner:HARBIN INST OF TECH

A wing design method considering pneumatic and structural multi-type design variables

The invention discloses a wing design method considering pneumatic and structural multi-type design variables, which comprises the following steps of: firstly, constructing a parameterized shape by utilizing a three-dimensional category/shape function according to a shape control variable obtained in a pneumatic design process, obtaining Cartesian coordinates of a pneumatic shape point, and generating a smooth pneumatic shape curved surface on the basis of the shape point; By picking up controllable design variables in the wing structure tree, the internal structure arrangement of the wing under a given appearance is realized; By utilizing a neighborhood interpolation technology represented by RBF interpolation and taking an aerodynamic shape as a constraint, efficient follow-up matching of the structure arrangement and the shape parameters is realized; and finally completing the three-dimensional wing design under the coupling effect of the pneumatic/structural subject according to the independent or dependency relationship of different types of design variables on the model tree through a file positioning analysis method. Contents of two subjects of a pneumatic/structure are considered, linkage updating of the model is achieved, and the method has the advantages of being high in universality, wide in application range and convenient to use.
Owner:BEIHANG UNIV
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