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11 results about "Hooke's law" patented technology

Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance x scales linearly with respect to that distance. That is: Fₛ=kx, where k is a constant factor characteristic of the spring: its stiffness, and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.

Tension detection-based automatic trimming compensation method and system for a winder

The application provides a winding machine automatic trimming compensation method and system based on tension detection, comprising: sampling tension tracking results under different line speeds, curve fitting the samples obtained by sampling to obtain a relationship curve; according to Hooke's law and the curve fitting result, obtaining diameter estimation values of sections at various positions of a yarn surface. The estimated diameters of sections at various positions of the yarn surface in one round trip are checked, whether the estimated diameter of the edge of the yarn surface is abnormally increased is checked, and the abnormal lifting condition of the edge of the yarn surface is determined. According to the severity of the lifting condition, the amplitude of soft edge correction is determined, the edge of the yarn surface is leveled, and the condition that the edge of the yarn surface exceeds the edge of the bobbin is solved. The soft edge correction condition is counted, the increase and decrease of the reference position of the edge of the yarn surface are confirmed according to the frequency and amplitude of the occurrence, the uneven speed of the edge of the yarn surface is accelerated, the number of soft edge correction is reduced, and the condition that the edge of the yarn surface cannot reach the edge of the bobbin is solved.
Owner:SHANGHAI GAOSHI SOFTWARE CO LTD

Rolling load distribution calculation method, rolling load calculation method, contact arc length calculation method, and rolling method

A rolling load distribution calculation method for a rolling mill (10) comprises the steps of: calculating the rolling load distribution of a rolling mill (10) on the basis of the Hooke's law of the plane strain state of a material to be rolled (1) and the balance of the force in the roll gap of the rolling mill (10) by using a rolling direction stress distribution approximated by a function dependent on the position coordinates of the rolling direction of the rolling mill (10); calculating the contact arc length of at least one of the elastic recovery area and the elastic depressed area; and calculating a rolling load distribution of at least one of the elastic recovery region and the elastic depression region on the basis of the contact arc length.
Owner:JFE STEEL CORP

Stress and rigidity analysis method under angular load of multi-waveform diaphragm disc

The invention discloses a stress and rigidity analysis method under a multi-waveform diaphragm disc angular load, which comprises the steps of defining geometric and working condition parameters, constructing a segmented deflection model, establishing a non-axisymmetric stress analysis model and deducing an angular rigidity analysis formula. Deducing a deflection expression of the maximum deformation section by segmenting the corrugated molded line and setting continuous conditions of displacement, slope and curvature; establishing a bending-torsion coupling model through a cylindrical coordinate system, and obtaining radial, circumferential and tangential stress analytic expressions in combination with Hooke's law; and the total bending moment is solved by performing circumferential integration on the infinitesimal bending moment and the shearing force, and the angular stiffness is calculated, so that integrated analytic solution of the deflection, the stress and the stiffness is realized. According to the method, high-precision prediction of the angular mechanical behavior of the complex corrugated diaphragm disc is achieved, the calculation efficiency is high, the result is stable and consistent, a large amount of finite element iteration can be effectively replaced, and a reliable tool is provided for structural optimization and engineering design of the diaphragm disc coupler.
Owner:UNIV FOR SCI & TECH ZHENGZHOU

Method for calculating shear deformation component of rectangular sandwich panel with four simply supported sides under normal force

The invention belongs to the technical field of aircraft strength and rigidity design, and particularly relates to a shear deformation component calculation method of a rectangular sandwich panel with four simply supported sides under normal force. The method includes the following steps that firstly, a coordinate system is defined based on the four-side simply-supported rectangular sandwich panel; 2, defining shearing parameters of the four-side simply-supported rectangular sandwich panel structure; 3, establishing an infinitesimal body balance equation; 4, establishing a control equation according to the infinitesimal Hooke's law; and 5, solving the shear deformation.
Owner:CHINA HELICOPTER RES & DEV INST

Fusion reactor CICC superconducting magnet equivalent winding material parameter calculation method

The invention provides a fusion reactor CICC superconducting magnet equivalent winding material parameter calculation method, and the method comprises the steps: determining a minimum unit cell unit corresponding to a superconducting magnet winding; constructing a finite element model of a minimum unit cell unit; applying a specific load and a constraint condition to the finite element model, outputting a calculation parameter corresponding to the initial material parameter, and calculating the initial material parameter by using a generalized Hooke's law according to the calculation parameter; establishing an equivalent model of the superconducting magnet winding according to the initial material parameters, and performing comparison verification on the equivalent model and a pre-established detailed model of the superconducting magnet winding; wherein if the comparison verification is passed, the initial material parameter is used as the material parameter of the equivalent winding corresponding to the superconducting magnet winding; and if the comparison verification is not passed, re-determining a new minimum unit cell unit. According to the invention, the minimum unit cell units replace the whole winding, and the winding is simplified into the set of the minimum unit cell units, so that the calculation efficiency can be improved while the equivalent parameter precision is ensured.
Owner:YAN CHAOYUAN (SHANGHAI) TECHNOLOGY CO LTD

Pressure sensor and preparation method thereof

The invention discloses a pressure sensor and a preparation method thereof. The pressure sensor comprises a microstructure sensing layer; the microstructure sensing layer comprises a lower substrate and a plurality of spiral structure units positioned on the upper surface of the lower substrate, and each spiral structure unit is constructed by regularly rotating a spiral blade by taking a central shaft as a reference. As the spiral structure unit is arranged in the microstructure sensing layer in the pressure sensor provided by the invention, based on the fact that the spiral structure meets Hooke's law under a certain condition, the deformation of the spiral structure unit and the pressure load are in a linear relationship under the action of pressure, and the inherent property of structural hardening of the existing pressure sensor is overcome; the defects that a sensitivity curve of an existing pressure sensor tends to be saturated under the action of large pressure, and sensitivity is reduced are overcome.
Owner:JILIN UNIVERSITY

Multi-degree-of-freedom high-frequency motion simulation device vibration analysis method for high-speed wind tunnel experiment

The invention belongs to the technical field of buffeting detection of an aircraft model supporting system in a hypersonic flow field environment, and discloses a vibration analysis method of a multi-degree-of-freedom high-frequency motion simulation device for a high-speed wind tunnel experiment. Firstly, an engineering model is simplified into a multi-flexible-spring and rigid-plane-coupled two-degree-of-freedom rotation vibration system with four flexible springs and a rigid plane coupled according to rigid mechanics and an elastomer theory, the four flexible springs transmit actuation energy and amplify the vibration effect, one end of each spring is fixedly connected to an excitation source, and the other end of each spring is fixedly connected to a vibration source. And the other end is connected with the rigid plane to generate a directional actuation angle. A default excitation source end can stably output sine periodic driving force, and a vibration control equation of the micro-unit is listed according to the Alembert principle and the generalized Hooke law; and finally, according to a coupling coordination condition, obtaining a two-degree-of-freedom vibration equation, and completing real-time and accurate analytical calculation of the whole vibration model through direct calculation on the premise of not depending on any force position measuring point.
Owner:DALIAN UNIV OF TECH

METHOD FOR CALCULATING THE ROLLING LOAD DISTRIBUTION, METHOD FOR CALCULATING THE ROLLING LOAD, METHOD FOR CALCULATING THE CONTACT ARC LENGTH, AND ROLLING METHOD

PendingMX2026003826AStress distributionMechanics
A method for calculating the rolling load distribution of a rolling mill 10, comprising: calculating the contact arc length of at least one of the elastic recovery and elastic reduction regions based on Hooke's law under the plane strain condition of a rolled material 1, the force balance within the belt-roll contact of the rolling mill 10, and the stress distribution in the rolling direction approximated by a function that depends on the position coordinate in the rolling direction of the rolling mill 10; and calculating the rolling load distribution of at least one of the elastic recovery and elastic reduction regions based on the contact arc length.
Owner:JFE STEEL CORP

A vibration analysis method for multi-degree-of-freedom high-frequency motion simulation device for high-speed wind tunnel experiment

ActiveCN121612540BAerodynamic testingVibration testingD'Alembert's principleSupporting system
The present application belongs to the technical field of buffet detection of aircraft model support system in hypersonic flow field environment, and discloses a vibration analysis method of multi-degree-of-freedom high-frequency motion simulation device for high-speed wind tunnel experiment. Firstly, according to rigid body mechanics and elastic body theory, the engineering model is simplified into a two-degree-of-freedom rotational vibration system coupled by four flexible springs and a rigid plane, mainly by four flexible springs to transfer actuation energy and amplify vibration effect, one end of the spring is fixed to the excitation source, the other end is connected to the rigid plane, so as to produce directional actuation angle. The excitation source end can stably output sinusoidal periodic driving force by default, and the vibration control equation of the micro unit is listed according to d'Alembert principle and generalized Hooke's law; finally, the two-degree-of-freedom vibration equation is obtained according to the coupling coordination condition, and the real-time accurate analytical calculation of the whole vibration model is realized without relying on any force position measuring point.
Owner:DALIAN UNIV OF TECH

Correlation modeling method for in-situ measurement of deformation of rivet under load and failure point location of rivet

The invention discloses a rivet under-load deformation amount in-situ measurement and failure point location correlation modeling method, which comprises the following steps: after riveting deformation of a structural member, carrying out in-situ measurement on the deformation amount under the condition that a rivet section area is under load to obtain an axial deformation amount curve of a feature point set along an outer contour line of the rivet in the rivet section area; decomposing the axial deformation amount of the feature point into a transverse expansion amount and a longitudinal deformation amount, and constructing a correlation degree measurement model for quantifying the correlation between the deformation amount and the failure point location in combination with the coordinates of the failure point location; in the modeling process, based on Hooke's law and Poisson's ratio definition, establishing a relationship between the transverse expansion amount and the transverse stress of the feature points; based on the Hooke's law and the yield strength plastic deformation rule, the relation between the longitudinal deformation amount and the longitudinal force of the feature points is established; and combining the influence of the axial deformation of the feature point and the weighting and section shape of the distance measurement of the failure point location on the failure point location so as to obtain the correlation degree measurement model.
Owner:SHENYANG AIRCRAFT CORP

Salt-freeze thawing coupling damaged soil constitutive model construction method and system

The invention discloses a salt-freeze thawing coupling damaged soil constitutive model construction method and system, and relates to the technical field of geotechnical engineering.The method comprises the steps that firstly, salt-containing and salt-free soil samples before and after freeze thawing are prepared, and the elastic modulus change rule of the soil samples is obtained through a static triaxial test; further defining and calculating salt damage variables, freeze-thaw damage variables and coupling damage factors of the salt damage variables and the freeze-thaw damage variables; secondly, on the basis of the Lemaitre strain equivalence principle, a damage factor reflecting infinitesimal strength Weibull distribution is introduced, and in combination with the generalized Hooke's law and the generalized Ewy Lade-Duncan damage criterion, a soil constitutive model capable of comprehensively representing the salt and freeze-thaw coupling damage effect is constructed; and finally, solving model parameters by utilizing peak value characteristics of the stress-strain curve. According to the method, the mechanical behaviors of the marine soft soil subjected to artificial freezing method construction can be predicted more accurately, and an effective theoretical tool is provided for design and safety evaluation of projects such as subsea tunnels in coastal regions.
Owner:WUXI TAIHU UNIV