39 results about "Force balance equation" patented technology

The invention discloses a dynamic modeling tracking control method for a self-adaptive fiber placement compaction mechanism, and belongs to the technical field of specific model calculation systems, and the method comprises the following steps: S1, building a kinematic model of the self-adaptive fiber placement compaction mechanism; s2, establishing a workpiece surface model, and solving tangent point coordinates and position coordinates of the driving wheel, the driven wheel and the ground; s3, according to the force balance equation and the moment balance equation of each rod, the relation between each bearing reaction and the external force is solved; s4, establishing a dynamic model of the driving device; and S5, error analysis and optimization are carried out, and it is ensured that the main pressure is within the fluctuation range. According to the device, it can be ensured that the rollers output constant compaction force when the abrupt change molded surface structure is laid, and the forming defect caused by uneven compaction force is avoided.

The invention relates to the field of mechanical arm control, and discloses a mechanical arm control method and device, a controller, a robot and a storage medium. The method comprises the steps that in response to force measurement data detected by six-dimensional force sensors located at the tail ends of mechanical arms when the mechanical arms are in different clamping poses, the force measurement data are calculated; carrying out data integration on the force measurement data under all the clamping poses based on a load stress balance equation under the clamping state of the mechanical arm so as to obtain load target parameters; and controlling an execution mechanism to execute corresponding operation based on the load target parameter. According to the method, load related parameters under the clamping of the mechanical arm can be identified, so that more accurate control is realized.

According to the optimization design method for the pilot-operated overflow valve system, firstly, a flow continuity equation and a force balance equation of a pilot-operated overflow valve are established, then, a pressure and flow relation equation and a state equation are established, and finally, the state equation is solved. In the step of optimizing the mathematical model, three sub-targets of the maximum overshoot, the steady-state error and the root-mean-square error of the system pressure value of the pilot-operated overflow valve system are firstly established, then a multi-target function is established according to the sub-targets, then design variables are selected, constraint conditions are established, and finally the mathematical model is optimized and solved. According to the optimization design method for the pilot-operated type overflow valve system, the diameter of the damping hole of the main valve, the coefficient of the valve port of the main valve and the maximum overshoot of the pressure of the pilot valve in the pilot-operated type overflow valve system are all optimized, and the comprehensive performance of the pilot-operated type overflow valve system is improved.

The invention discloses a vehicle three-way cooperative auxiliary control method fusing PINN tire transverse and longitudinal force prediction. Comprising the following steps: constructing a dynamic model of a vehicle based on a force balance equation and a moment balance equation of the vehicle; constructing a physical information neural network model; training the physical information neural network model by taking the dynamic model as a dynamic constraint and taking the minimum physical residual error loss as a target to obtain a physical prediction model; the physical prediction model is fused, a cost function with the longitudinal resultant force, the additional yawing moment, the slippage loss power and the motor loss power of the vehicle under the action of the auxiliary control quantity as factors is constructed, the cost function is solved with the minimum cost function as the target, and the minimum cost function is obtained. The auxiliary control quantity used for conducting three-way cooperative auxiliary control on the vehicle is obtained; and adopting the auxiliary control quantity pair. According to the method, the problems that tire model parameters are difficult to calibrate and the cost is high during vehicle three-way cooperative auxiliary control, and key performance indexes of a cost function in a nonlinear optimization problem have characterization defects are solved.

The invention discloses a parameterized modeling flow distribution pair leakage rapid calculation method and device, and the method comprises the steps: firstly calculating the residual pressing force and residual overturning moment of a flow distribution pair according to the structural parameters of a plunger pump, and then solving through vector synthesis and a force balance equation set, and determining the thickness of a central oil film of the flow distribution pair, the overturning angle of the cylinder body and the overturning direction of the cylinder body, and finally substituting the parameters into a leakage flow calculation formula considering the overturning of the cylinder body to obtain the leakage flow of the flow distribution pair. According to the quick calculation method for leakage of the flow distribution pair based on parametric modeling, the applicability of a traditional analytical model under the simple working condition is reserved, the influence of cylinder overturning under the high-pressure and high-speed working condition is considered, the application range of the traditional model is expanded, and therefore quick and accurate estimation of the leakage flow of the flow distribution pair under the wide-area working condition is achieved, and the calculation efficiency is improved. And a rapid and accurate mathematical model is provided for high-precision and high-energy-efficiency control of the EHA system.

The invention discloses a ball screw contact characteristic calculation method and system, and the method comprises the steps: inputting a size parameter and an external load of a ball screw, and preliminarily building a related equation of a ball stress and an axial load; solving the displacement change of the raceway contact point under the action of the axial load according to the balance condition of the binding force; adding rotating speed parameters of the ball screw, calculating position offset of a raceway contact point during high-speed rotation, and updating a contact angle between the ball and the screw / nut; the centrifugal force and gyroscopic moment generated by high-speed rotation of the ball are quantified through a geometric constraint equation and kinematics analysis; on the basis of an original static model, centrifugal force, gyroscopic effect and contact surface friction force are superposed, and axial and radial stress balance equations containing dynamic factors are reconstructed; and a geometric constraint equation and a multi-dimensional mechanical equation are combined, numerical calculation is carried out by adopting a Newton iteration method, and finally, the contact characteristic which not only considers uneven load distribution but also contains the influence of high-speed rotation is obtained.

Disclosed is a roller taper grinding method for a planetary roller screw mechanism. The method includes steps as follows: step 1: determining basic parameters and a bearing capacity of a planetary roller screw mechanism to be machined; step 2: establishing deformation and force balance equations of the planetary roller screw mechanism according to the basic parameters and the bearing capacity of the planetary roller screw mechanism determined in step 1; step 3: iteratively computing an optimal grinding taper angle of roller grinding according to the deformation and force balance equations established in step 2; step 4: determining process parameters of roller grinding; and step 5: grinding a roller taper of the planetary roller screw mechanism by a machine tool according to the process parameters determined in step 4.

The application discloses a method for analyzing bearing capacity of two-span concrete floor slabs under column end constraints, comprising: obtaining position parameters of the concrete floor slabs, calculating displacement coefficients of different beams based on the position parameters; establishing slab plane equations of a yield line load stage based on the displacement coefficients, obtaining slab rotation angles of each slab along x and y coordinate axes based on the slab plane equations; calculating yield line load values according to the virtual work principle based on the slab rotation angles; calculating membrane force parameters based on force balance equations, moment balance equations and elliptical regions of each slab; establishing plane equations of each slab under a limit state, calculating bearing capacity increase coefficients according to the plane equations; obtaining a total increase coefficient based on the force equivalence principle, and obtaining a limit bearing capacity based on the total increase coefficient and the yield line load values. The application can make the bearing capacity of the reinforced concrete floor slabs under column end constraints have a smaller error compared with the actual situation.

The present invention discloses a method for designing high-speed multi-rotor blades. In the method, the approximate range of blade sizes is first limited by known basic data and expected data to obtain the force balance equation of the drone. Then, a sufficient number of specific blade sizes that meet the limited range are given. By comparing expected performance indicators, data is screened from the given blade sizes, adjusted in a random crossover manner, and screened again. This is repeated multiple times until the expected performance indicators can be obtained. If the expected performance indicators cannot be obtained, the initial amount of specific blade size data is increased, the output volume of each screening is reduced, and the screening process is executed again.

The present application relates to the technical field of fluid control valve, specifically to a pilot pressure reducing valve pilot pressure pipe length optimization design method. The present application uses the force balance equation containing time lag to obtain the critical time lag of the system generating periodic oscillation, then establishes the length constraint equation of the pilot pressure pipe through the relationship between the pipe length and the critical time lag, finally uses the iterative method to obtain the maximum allowable length of the pilot pressure pipe, and then outputs the actual length according to the field installation requirement, which can provide adjustment suggestions for different installation conditions and has wide adaptability. At the same time, the reasonable range of the pilot pressure pipe length can be determined at the design stage, the pilot pressure pipe can be avoided to be replaced repeatedly on site, the installation cost is reduced, and the consistency of the valve is improved.

The application relates to a wave compensation system modeling and pose control method based on a Stewart platform, which comprises the following steps: step 1, performing dynamic analysis on a shipborne Stewart platform and obtaining a force balance equation; step 2, calculating the action of a gangway mechanism on the upper platform of the Stewart platform; step 3, expanding the force balance equation based on the action of the gangway mechanism on the upper platform of the Stewart platform, and then establishing a dynamic model of the shipborne Stewart platform considering the gangway; and step 4, designing a Stewart platform pose controller based on a backstepping method to control the pose of the Stewart platform. Compared with the prior art, the application has the advantages of improving the precision of wave compensation and improving the pose control precision.

The present invention relates to a design method for a parallel mechanism with both high normal stiffness and high lateral stiffness, comprising the following steps: S1, determining the motion freedom requirements of the parallel mechanism dynamic platform, establishing the mechanism motion spinor system and constraint spinor system, and establishing the branch constraint spinor system and motion spinor system of the parallel mechanism; S2, establishing a force transmission model of the parallel mechanism, and determining the maximum design criterion for normal stiffness; S3, establishing the force balance equation of the parallel mechanism, introducing an auxiliary configuration to provide an additional force system to adjust the overall stress state of the mechanism, and determining the design criterion for maximizing lateral stiffness; S4, combining the maximum design criterion for normal stiffness and the design criterion for maximizing lateral stiffness with the dynamic and static force model to obtain a parallel mechanism with both high normal stiffness and high lateral stiffness. The present invention establishes a design criterion for maximum normal stiffness of the parallel mechanism to maximize the normal stiffness of the mechanism, and has important application prospects in parallel mechanisms under heavy load conditions.

The invention relates to a method for calculating the flexural capacity of a hogging moment area of a reinforced concrete composite beam based on a UHPC thin layer. The method comprises the steps that a test piece is prepared, measuring points are arranged, a load strain curve and a loading result graph of the test piece are obtained through a pressure loading test, and flexural performance characterization is determined. Determining an associated stress area of the composite beam according to the bending resistance characterization, presetting a first assumption condition, and performing derivation based on a strain expression, an internal force expression and a force balance equation to obtain a calculation expression of a cracking bending moment; presetting a second assumption condition, deducing and determining the position of a plastic neutral shaft, establishing a moment balance equation, and deducing according to the section strain expression, the internal force expression and the moment balance equation to obtain a calculation expression of the flexural capacity of the composite beam.

The application discloses a kind of stirling generator performance prediction method.This method is established by force balance equation and volume equation to the gas distribution piston, power piston, compression cavity and expansion cavity inside stirling generator respectively, combined with ideal gas equation, mass conservation equation and energy conservation equation, constructs the heat-dynamics coupling model of stirling generator including kinetic parameters and thermodynamic parameters;According to the input kinetic parameters, the running frequency, displacement amplitude of gas distribution piston and power piston and the phase difference of two pistons are calculated;Further solve the thermodynamic model, obtain the change of temperature, pressure, mass and mass flow of working medium;Then the results are substituted into motor model, obtain effective voltage, effective current and effective electric power;Through heat-dynamics coupling solution and combined with motor model, the whole process of heat-work-electricity conversion is solved and calculated, so as to realize the heat-dynamics-electricity parameter prediction of stirling generator, provide theoretical guidance for whole machine fault diagnosis and optimization design.

The invention discloses a method for leveling the balance stress of a double-hanging-point independent double-string type suspension fitting string. The method comprises the following steps: S1, creating an independent double-hanging-string type balance stress model; s2, stress parameters are calculated; S3, an independent double-hanging string type balance stress leveling calculation equation is formed; s4, the string type stress values under various working conditions are judged through stress analysis; S5, the leveling value of the difference value delta of the front-side independent string type and the rear-side independent string type is calculated according to different stress conditions; according to the scheme, the stress analysis model can be established according to the situation that the independent double-hanging-point string type in the large-fluctuation mountainous area section cannot achieve stress balance, and detailed numerical values of all parameters needed in the stress balance state are obtained by analyzing the stress balance equation. According to the calculated parameters, stress leveling can be effectively carried out on the whole string type, and the problem that each independent branch string does not reach the planned stress is solved.

The invention discloses a method for analyzing an integral swing structure with asymmetrical rigidity around a strong axis and a weak axis of the structure. The method comprises the following steps: S1, designing an upper structure; s2, calculating the shear force of the base; s3, the shear bearing capacity of the vertical tension-compression energy dissipation limiting support is designed; s4, establishing a mechanical analysis model, and solving a force balance equation; s5, a rigid body displacement proportion u3 / u is preset, and the basic rotation rigidity KSy of the upper structure around the weak axis side is solved; s6, calculating the rigidity of the vertical bearing damping body according to the axial force of the bottom of the upper structure under the action of the gravity load; s7, the basic rotation rigidity Ksx of the upper structure around the strong axis side is calculated; s8, the basic rotation rigidity Ksx of the side, around the strong axis, of the upper structure is substituted into the force balance equation, the lateral stiffness of the side, around the strong axis, of the upper structure is calculated, and the section size of a beam or a column is adjusted; s9, a vertical tension and compression energy consumption limiting support is designed; s10, estimating a damping ratio, and carrying out earthquake time history response analysis; and checking whether a corresponding limit value and a performance target of the specification are met.

The invention provides a method for calculating radial eccentric wear force of a cylinder wall in a motion process, which comprises the following steps of: 1, analyzing the stress of a valve core, establishing a motion equation, and solving displacement x; 2, a 1D calculation model is established, and valve element movement, friction force and spring force are simulated; differentiating the differential displacement data x (t) to obtain the speed v (t) of the valve core, and fitting the speed v (t) into a one-element cubic equation; 3, establishing a CFD model, initializing a flow field, and setting a medium and a solver; 4, defining load and boundary conditions, and extracting radial force data; applying the fitted velocity equation v (t) to the dynamic grid through UDF; a safety valve element is simplified into a single-degree-of-freedom spring mass system, a force balance equation is established, the dynamic relation between hydraulic pressure and valve element displacement is directly coupled, acceleration sudden change and fluid dynamic response at the moment of opening of the valve element can be accurately captured, and the problem of stress analysis deviation caused by neglecting of the dynamic effect in a traditional method is solved.

The invention relates to the technical field of cushion collar design, and particularly provides a design method of a labyrinth cushion collar, a cushion structure, a hydraulic oil cylinder and a hoist, the design method comprises the following steps: firstly, determining the length, the inner diameter and the outer diameter of the cushion collar according to the size and energy conservation of the hydraulic oil cylinder; secondly, deriving a throttling area curve of the outer surface of the cushion collar according to a force balance equation and a flow equation of a hydraulic oil cylinder piston so as to determine the tapping position of a damping hole in the cushion collar; then the number and the hole diameter of damping holes are determined according to the expected buffer pressure curve and acceleration curve; according to an energy dissipation mechanism and the mathematical model of the cushion collar, the flow resistance series and the flow channel structure of the cushion collar are determined; according to the model, the buffer speed curve and the buffer pressure curve of the buffer sleeve are quickly obtained from the peak pressure and the maximum initial speed, and according to test verification, the method can quickly and accurately design the buffer device meeting the requirement of high-speed heavy-load operation of the quick hydraulic hoist, and the problem that the complex flow channel buffer device is difficult to design and verify is solved.

Provided is a design method for a self-compensation structure of a cam-lobe hydraulic motor plate distribution system, which comprises that follow steps: firstly, establishing a force balance equation, a pressure distribution equation and a flow balance equation for each balance chamber, setting a boundary condition, and setting an expected nominal clearance; selecting a fit clearance for simultaneous solutions, and obtaining a set of solutions of areas; taking a maximum value in this set of solutions as the median, and setting a set of area values in the optimization design; further solving changing curves of the nominal clearance and the total leakage of the distribution system with the rotation angle of the cylinder block, and calculating the average value of various curves after the operation is smooth, and designing the self-compensation structure based on selection of the optimal combination of the fit clearance and area.

A method for calculating the internal pressure of an air extrusion film for a piezoelectric tactile feedback device, the method comprising the following steps: obtaining a fluid element within the extrusion film, performing a force analysis on the fluid element in two directions, namely the x-axis and the y-axis, to obtain a force balance equation in the x-axis direction and a force balance equation in the y-axis direction, and obtaining the velocities of the fluid in the x-axis and y-axis directions according to the properties of Newtonian fluid; finding the partial derivatives of the gap between the finger skin surface and the touch surface with respect to the time variable T and the spatial variable X, performing a difference processing on the pressure with respect to time T and space X, and replacing the partial derivatives with difference quotients to obtain a difference equation for the pressure; according to the boundary conditions of the internal pressure of the extrusion film, setting an initial iteration pressure value P<supgt;0< / supgt; and an iteration error within the extrusion film and then performing iteration, and terminating the iteration after the absolute value of the pressure difference obtained from two consecutive iterations is less than the iteration error, to obtain the internal pressure of the extrusion film. This method has guiding significance for the design of piezoelectric tactile feedback devices.

The present invention proposes a method for calculating the external pull-out force of instability after the steel shell in a combined cable tower yields, which belongs to the field of bridge engineering. The method solves the problem in the prior art that in a steel shell-concrete combined cable tower, the buckling of the steel shell in a ductile state may cause the shear connector to be pulled out, and the structure cannot reach the ideal strength index and is destroyed in advance. The present invention first obtains the thin plate large deflection theory to obtain the thin plate large deflection equation of the steel shell, and then obtains the basic expression of the deformation function and the expression of the stress function; and establishes a specific expression of the deflection at the solution of the Galerkin equation; then obtains the expression of the final deformation function based on the specific expression of the deflection; finally, the expression of the final deformation function is substituted into the surface external force equilibrium equation of the thin plate large deflection equation to obtain the distribution function of the pull-out force; in the present invention, the pull-out force that can be generated when the plate shell is buckled can be obtained according to different shear connectors and different plate thicknesses, and then the arrangement requirements of the shear connectors are clarified.

The invention discloses a design method and device for reducing the using amount of lower chord steel bars of a laminated slab and a terminal, and the method comprises the steps that a target balance equation is constructed, and the target balance equation is an axial force balance equation of a plane truss prefabricated bottom plate component in the laminated slab in the construction stage; obtaining a target relational expression based on the target balance equation, wherein the target relational expression represents a cross section size relationship between an upper chord steel bar and a lower chord steel bar of the steel bar truss; and designing the lower chord steel bar diameter of the target steel bar truss based on the target relational expression. According to the method, the cross section size relationship between the lower chord steel bars and the upper chord steel bars of the target steel bar truss is inferred reversely by constructing the target balance equation, so that the dosage ratio of the upper chord steel bars and the lower chord steel bars is more reasonable, the design dosage of the lower chord steel bars of the steel bar truss is effectively reduced, and the production cost of the laminated slab is reduced.

The invention relates to the technical field of bridge engineering, in particular to a method and system for determining the bearing capacity of a prefabricated assembled pier under the bending shear-torsion effect, and the method comprises the steps: determining a stress damage model of the prefabricated assembled pier and analyzing assumed conditions, and then building a limit axial force expression and a shear force balance equation; deducing the limit axial force expression, the shearing force balance equation, the bending moment equation and the torque equation to obtain a unified analysis equation of the prefabricated assembled bridge pier; building a joint torsional bearing capacity calculation formula based on the shear bearing capacity data and the joint stress condition; performing peak load calculation and test comparison on different prefabricated assembled piers according to the unified analysis equation of the prefabricated assembled piers and the joint torsional bearing capacity calculation formula. According to the method, the combined action of the pressure, the bending moment, the shearing force and the torque is comprehensively considered, the stress condition of the prefabricated assembled pier can be reflected more accurately, and accurate prediction of the peak bearing capacity and the peak torque of the prefabricated assembled pier under the action of the bending shear-torsion load is achieved.

The present application relates to a kind of shield tunnel steel plate reinforced joint bending carrying capacity calculation method, comprising the following steps: 1) the virtual strain of the inner edge of joint surface is obtained when calculating steel plate reinforcement, and the critical compression zone height of bolt yielding and the critical compression zone height of steel plate yielding when section failure;2) assume that joint surface is in a certain failure state, based on the axial force balance equation under the failure state, corresponding steel plate reinforced joint joint surface compression zone height is obtained by trial;3) whether joint surface compression zone height meets the range requirement of current failure state, if yes, then execute step 4), if not, then replace another failure state, return to step 2);4) the steel plate reinforced joint joint surface compression zone height obtained in step 2) is substituted into the bending moment balance equation under the current failure state, and the limit bending moment is calculated and obtained.Compared with prior art, the present application has the advantages of effectively reducing workload, improving efficiency and the like.

The application discloses a fan-shaped stiffened pipe plate node structure stress analytical calculation method, and relates to the field of stress calculation of a steel structure pipe plate node of a power transmission tower. The method comprises the following steps: firstly, a calculation section is selected, a curved beam calculation model is established, and an internal force equation is established; a displacement response is calculated by using a unit load method; internal force and node stiffness are solved by combining displacement coordination and force balance equations; then, the model is improved into an elastic support curved beam model; flexibility coefficients and displacement free terms are calculated; spring counter forces are solved and are superimposed to correct the internal force; after the rotational spring stiffness is calibrated, the node structure stress is output; the application provides a closed analytical solution of the structure stress, and does not need complex finite element modeling, thereby simplifying the process, reducing the cost, filling the technical gap, providing a basis for fine design of node fatigue resistance, and improving the bearing performance and service safety of the node of the power transmission tower.

The invention relates to a CFRP concrete beam economic reinforcement ratio calculation and cost analysis method. The method comprises the following steps that 1, an internal force balance equation is written into a balance equation containing reinforcement ratio variables according to the stress-strain sketch diagram relation, the strain coordination condition and the reinforcement ratio of a concrete beam; 2, solving the height x of the compression area according to a variable balance equation containing the reinforcement ratio; 3, according to the variable balance equation containing the reinforcement ratio, the flexural capacity of the concrete beam is written into a flexural capacity expression containing the reinforcement ratio; 4, constructing a target function by considering the prices of the steel bars and the concrete and the strength grades of the steel bars and the concrete; 5, determining the constraint condition of the flexural capacity of the normal section of the concrete beam, the constraint condition of the minimum reinforcement ratio and the constraint condition of the maximum reinforcement ratio; 6, a Lagrange function expression is written according to the concrete beam normal section flexural capacity constraint condition and the target function, analysis and solution are carried out, and a reinforcement ratio expression is given; 7, on the basis of the deduced economic reinforcement ratio expression, on the premise that the minimum reinforcement ratio constraint condition and the maximum reinforcement ratio constraint condition are met, the corresponding range of the ratio of the steel bar price to the concrete price and the relation between the steel bar price and the concrete price are given on the premise that the economic reinforcement ratio exists; 8, giving a relation equation of the concrete beam manufacturing cost and the reinforcement ratio. The method has certain innovativeness and practicability.

The application provides a mechanical property analysis method and system of CFRP grid reinforced concrete, parameters and loading schemes of a stress analysis model of a CFRP grid concrete beam are acquired, a linear softening model is used for a CFRP grid and a concrete interface bonding slip relationship; a known beam with the same height and bearing external bending moment is constructed; in a first stage with a crack bottom width less than a critical crack width, load, crack parameters and stress distribution characteristics in a crack expansion process are calculated according to geometric characteristics, concrete characteristics and CFRP characteristics of the known beam; in a second stage with the crack bottom width greater than or equal to the critical crack width, a force balance equation is described, a relationship between the crack bottom width and the compressive stress of the top of the section is defined, and the load, crack parameters and stress distribution characteristics in the crack expansion process are calculated. The application considers post-cracking tensile stress in the concrete, bonding slip behavior between the CFRP and the concrete, and the result is accurate.

The present invention discloses a method for determining the bearing capacity of an asymmetric constrained indeterminate reinforced concrete beam. The method comprises the following steps: calculating the bending moment of the fixed section and reducing it, taking the moment at the hinged end support to establish an equilibrium equation; (4) based on the bending moment of the fixed section and the shear force at the fixed end loading point, establishing an internal force equilibrium equation for the fixed end compression rod-tension rod model, and obtaining the relationship between the unilateral concentrated load P borne by the reinforced concrete beam and the load borne by each component; (5) based on the shear force at the hinged end loading point, establishing an internal force equilibrium equation for the hinged end compression rod-tension rod model, and obtaining the relationship between the unilateral concentrated load P borne by the reinforced concrete beam and the load borne by each component; (6) calculating the plastic ultimate bearing capacity of each component and using it as the load borne by each component, calculating multiple P values, and taking the minimum P value as the ultimate bearing capacity of the reinforced concrete beam. The present invention determines the failure mode of the component by determining the location of the damaged component.

The application provides a shear lag estimation method for a box girder with a reinforcing structure, and comprises the following steps: S10: establishing a structural model for the box girder based on an analogy bar method, distributing the area of the reinforcing structure to simulation bars and simulation plates, and outputting the equivalent area of the simulation bars and the equivalent thickness of the simulation plates; S20: establishing stress balance equations and deformation coordination equations for the simulation bars, and outputting differential equations of shear flow; S30: outputting the shear flow of the simulation bars and the shear flow of the reinforcing structure according to the differential equations of the shear flow; and S40: outputting the stress of the simulation bars. The shear lag estimation method for the box girder with the reinforcing structure has the beneficial effects of wide application range and being capable of being used for guiding engineering design, and solves the defects of the traditional analogy bar method that cannot process the reinforcing structure.

The invention discloses a method for analyzing geometric errors of a linear feeding system under any attitude. The method comprises the following steps of: constructing a representation method of the linear feeding system under any attitude; testing and decomposing guide rail assembly errors, and establishing a stress balance equation of the linear feeding system; the geometric error of the moving part is solved; performing geometric error traceability analysis, and determining main factors influencing the geometric error of the moving part; the method for analyzing the geometric error under any attitude is developed for different linear feeding system configurations, a stress balance equation of the linear feeding system under any attitude is established, the geometric error of a moving part is solved, traceability is achieved by comparing the influence degrees of different factors on the geometric error, and the accuracy of the geometric error analysis is improved. In order to solve the problems of assembly precision verification, structure optimization, active precision design and the like of the linear feeding system, the invention further comprises a system, equipment and a medium for realizing the method.