14 results about "Displacement function" patented technology

The invention relates to the technical field of composite material structure dynamics analysis, and provides a method and system for predicting the inherent frequency of a three-phase functionally graded composite material conical plate, and the method comprises the steps: employing an improved Halpin-Tsai model to calculate the equivalent parameters of a GPL-containing two-phase composite matrix, solving the equivalent parameters of a three-phase composite layer, and calculating the inherent frequency of the three-phase composite material conical plate. The method comprises the following steps: constructing a nonlinear geometrical relationship between a displacement field and a strain field, calculating a stiffness coefficient of each layer, constructing kinetic energy of the three-phase composite material conical plate, calculating an energy coefficient according to the stiffness coefficient of each layer, constructing potential energy of the conical plate according to the energy coefficient, and constructing a modal displacement function by adopting a Chebyshev polynomial and a boundary function. And establishing a characteristic equation based on a minimum potential energy principle and solving to obtain the inherent frequency of the three-phase composite material conical plate. According to the method, efficient calculation of the inherent frequency of the three-phase composite material conical plate is achieved, and the reliability and engineering application value of structural dynamics analysis are remarkably improved.

The invention discloses a stay cable analysis digital twinborn model construction method, which comprises the following steps of: constructing a stay cable space three-dimensional vibration motion partial differential equation based on a material linear elasticity hypothesis and a double-coordinate system theory, and setting boundary conditions and initial conditions of the stay cable space three-dimensional vibration motion partial differential equation; a Galerkin multi-mode truncation method is adopted to obtain a displacement function of superposition of an end displacement excitation item and a vibration mode item; deducing a three-way strong coupling ordinary differential equation set through symbolic operation, and solving by using a step-variable Runge-Kutta algorithm to obtain a stay cable analysis digital twin model with stable parameters; structural response data are obtained through the sensor network and calculated, and when the obtained cable force, flexural rigidity and damping ratio exceed threshold values, a model updating mechanism is triggered for updating; and then the updated stay cable analysis digital twin model is obtained. According to the method, the real dynamic characteristics of the stay cable can be restored with high precision, and effective support is provided for structural state evaluation and early warning.

The embodiment of the invention provides a foundation pit rigidity analysis method based on performance design and related equipment, and belongs to the technical field of building design. The method comprises the steps that a nonlinear soil pressure displacement function model corresponding to foundation pit supporting is constructed according to the nonlinear relation between supporting structure displacement and soil pressure; deriving the nonlinear soil pressure displacement function model to obtain a nonlinear rigidity model of the foundation soil; the method comprises the following steps: dispersing a foundation pit supporting structure into beam units, and simplifying a surrounding foundation soil body into a distributed spring system coupled with beam unit nodes so as to construct a spring generalized finite element model; and calculating updated soil pressure distribution according to the node displacement and the nonlinear soil pressure displacement function model, and outputting final supporting structure internal force, deformation and soil pressure distribution results. According to the embodiment of the invention, more accurate and more reliable design of the supporting performance of the foundation pit can be realized, and key technical support is provided for safety evaluation of the supporting performance of the foundation pit.

The invention relates to a concrete skewback segment crack simulation analysis method, and belongs to the field of concrete construction. According to the technical scheme, the concrete skewback segment crack simulation analysis method comprises the following steps that S1, simulation analysis basic conditions are determined, specifically, concrete damage parameters are set, and finite element software is selected; s2, constructing a concrete skewback segment simulation model by adopting an extended finite element method, defining a level set function to characterize a crack interface through a level set method, and constructing a displacement function by adopting a discontinuous shape function; s3, setting a concrete crack initiation criterion and a concrete crack propagation direction criterion; and S4, anti-cracking simulation analysis is conducted on the construction stage and the operation stage of the skewback section, and the cracking state and stress field distribution of skewback section concrete are obtained. According to the method, the anti-cracking performance under the load effect in the operation stage is evaluated, the whole-stage cracking state and the stress field distribution rule are output, a whole-cycle data support is provided for engineering practice, and the problem that single-stage analysis and evaluation are one-sided in the traditional technology is solved.

The application relates to a method for predicting the bending performance of a large-span multi-rib concrete composite slab, which comprises the following steps: S1: constructing a space rectangular coordinate system of the large-span multi-rib concrete composite slab, and restraining the physical properties of the large-span multi-rib concrete composite slab; S2: constructing a shear lag effect displacement function of the large-span multi-rib concrete composite slab according to a shear lag control equation derived based on the minimum potential energy principle; S3: deriving a bending balance equation based on the shear lag effect displacement function and the minimum potential energy principle, and constructing a bending performance prediction model of the large-span multi-rib concrete composite slab considering the shear lag effect based on the bending balance equation. The bending moment of the large-span multi-rib concrete composite slab can be predicted through the bending performance prediction model, so that the deflection and stress state of the composite slab under the service load can be more accurately evaluated.

The invention discloses a method for constructing a spatial stress model of a composite beam based on shear hysteresis deflection. The method comprises the following steps of: establishing a basic assumption and displacement mode function of an analytical equation considering the shear hysteresis deflection of the composite beam; establishing a total deflection function of the composite beam based on shear hysteresis deflection under the combined action of axial bending; respectively establishing longitudinal displacement functions of the concrete slab under the action of the bending moment and the axial force; respectively establishing longitudinal displacement functions under different shear lag displacement functions of the upper flange, the web and the lower flange of the box-type steel girder under the action of the bending moment and the axial force; respectively establishing a total potential energy function of the composite beam under the action of bending moment and axial force; respectively establishing control differential equations and boundary conditions under the action of bending moment and axial force; constructing a combined beam space stress model under the axial bending combined action; verifying the correctness of the model; according to the method, the bending deflection + shear hysteresis deflection superposition model of the total deflection is established, the displacement contribution of the shear hysteresis effect is clarified, and the physical significance of a complex mechanical phenomenon is concrete.

The embodiment of the invention provides a construction method and device of a motion curve and a control method, device and system of the motion curve. The motion curve comprises an acceleration section, a constant speed section and a deceleration section which are smoothly connected in sequence in the positive direction, and an acceleration section, a constant speed section and a deceleration section which are symmetrical with the motion curve in the negative direction, and the curve shapes of the acceleration section and the deceleration section are symmetrical in any direction; the method comprises the following steps: determining preset boundary conditions and constraint conditions of a motion curve of a motor shaft, wherein the constraint conditions comprise a maximum allowable speed and a maximum allowable acceleration; and on the basis of a predefined acceleration function of the acceleration section or the deceleration section, and in combination with the preset boundary conditions and constraint conditions, constructing the motion curve comprising displacement functions of the acceleration section, the constant speed section and the deceleration section. According to the embodiment of the invention, under the limitation of existing hardware, the requirement of high-speed production takt can be met and stable operation of equipment can be ensured only through software design.

The invention provides a method for constructing a static model of a lathe tailstock based on a slip working condition. The method comprises the steps that the maximum axial friction force of a sleeve under the action of a clamping mechanism is calculated; whether the external load borne by the tip component is larger than the maximum axial static friction force or not is judged; under the condition that the external load is large, a statics model of the lathe tailstock is established; the model at least comprises force-displacement functions of a sleeve-tip joint surface, a tailstock body-lathe bed guide rail joint surface, a lead screw shaft-nut pair joint surface, a thrust bearing and a lead screw shaft; all parts in the tailstock only generate elastic deformation, and the load is sequentially transmitted along the external load, the center, the center-sleeve junction surface, the sleeve, the lead screw shaft-nut pair junction surface, the lead screw shaft, the thrust bearing, the tailstock body, the tailstock body-lathe bed guide rail junction surface and the lathe bed. According to the method, the exclusive statics model containing the full-load transmission path is established for the slippage working condition, mechanical response changes caused by slippage are accurately quantified, and the defect that a traditional model path is incomplete is overcome.

This invention discloses a dynamic analysis method for beam structures with arbitrary curvature and varying thickness in a plane, belonging to the field of aerospace structure and structural dynamics modeling technology. The method first inputs the upper and lower surface functions of the curved beam to solve for its neutral surface function; secondly, it constructs a family of orthogonal displacement functions specific to this beam structure with arbitrary curvature and varying thickness, and establishes an integral mapping relationship between the global coordinate system and the dynamic sub-coordinate system; subsequently, based on the displacement function family and the integral mapping relationship, it derives and solves the energy equation of the beam structure; finally, it obtains the mode shapes and natural frequencies based on the Rayleigh-Ritz method, and calculates the dynamic response and dynamic stress of the structure using the modal superposition method. This invention overcomes the shortcomings of existing semi-analytical modeling methods for the dynamics of complex curved beam structures with varying thickness, and can efficiently and accurately predict and analyze the dynamic characteristics of beams with arbitrary curvature and varying thickness in a plane.

The present application relates to the technical field of composite structure dynamics analysis, and provides a method and system for predicting the natural frequency of a three-phase functionally graded composite conical plate, which comprises the following steps: calculating the equivalent parameters of a two-phase composite substrate containing GPL by using an improved Halpin-Tsai model, solving the equivalent parameters of a three-phase composite layer, constructing the nonlinear geometric relationship between the displacement field and the strain field, calculating the stiffness coefficient of each layer, constructing the kinetic energy of the three-phase composite conical plate, calculating the energy coefficient according to the stiffness coefficient of each layer, constructing the potential energy of the conical plate according to the energy coefficient, constructing the modal displacement function by using Chebyshev polynomials and boundary functions, establishing the characteristic equation based on the principle of minimum potential energy and solving it, and obtaining the natural frequency of the three-phase composite conical plate. The present application realizes efficient calculation of the natural frequency of the three-phase composite conical plate, and significantly improves the reliability and engineering application value of structural dynamics analysis.

This application discloses a method, apparatus, device, and storage medium for determining the natural frequency of a linear motor, aiming to determine the natural frequency of a linear motor more quickly and accurately. The method includes: constructing an equivalent model of the linear motor based on whether it is mounted on a base; when the equivalent model is a double-layer plate structure, establishing a displacement function expression for the middle surface of the double-layer plate structure based on the first-order shear deformation theory; when the equivalent model is a triple-layer plate structure, establishing a displacement function expression for the middle surface of each single-layer plate in the triple-layer plate structure based on the first-order shear deformation theory and Zig-Zag theory; performing energy calculations on the equivalent model to obtain kinetic energy, strain energy, and spring potential energy; constructing a Lagrange energy function expression based on the function expression of the equivalent model, kinetic energy, strain energy, and spring potential energy, converting it into an eigenvalue equation, solving it, and obtaining the angular frequency of the linear motor to determine its natural frequency.

The invention discloses a transformer winding axial calculation method and device based on a nonlinear elastic coefficient, and belongs to the technical field of transformers, and the method comprises the steps: carrying out the dynamic compression measurement of a transformer insulating component, and obtaining the elastic coefficient data; performing curve fitting on the elastic coefficient data to obtain a displacement time function; substituting the displacement time function into the mass-spring dynamic model to obtain an axial displacement response; and comparing the axial displacement response with an axial response result borne by the transformer winding when the transformer winding is loosened, and judging the displacement state of the transformer winding. According to the method, the displacement-time dynamic response curves of the cushion blocks and the end ring cushion blocks are collected and fitted into a displacement function form, and the displacement function form is substituted into the winding axial spring-mass model for analysis / numerical solution, so that the winding axial response calculation process is more measurable and adaptive, the integration degree of the derivation model is high, the calculation efficiency is high, and the calculation efficiency is high. Meanwhile, the precision and reliability of a calculation result are improved.

The invention discloses a method for optimizing a space cam through a genetic-gold washing algorithm, and the method comprises the steps: determining the original parameters of a cam, and constructing a segmented follower displacement function through the combination of a general polynomial and a composite curve; verifying the continuity of the displacement, the speed and the acceleration at the key connection position; establishing an optimization model which takes minimization of the maximum acceleration as a target and contains angle constraint; a genetic-gold washing fusion algorithm is constructed, parents are selected in a specific mode, crossover variation is executed, and operations such as migration and functional area analysis of a gold washing algorithm are combined; a Kalman filtering processing algorithm result matrix is adopted, and a final result is obtained through priori and posteriori estimation and weighted fusion. According to the method, global search and local optimization capabilities are considered, local optimization is avoided, smooth linkage of displacement curves is ensured, system vibration noise is reduced, the operation precision of a cam mechanism is improved, the service life of the cam mechanism is prolonged, and a reliable scheme is provided for efficient optimization design of the space cam.