7 results about "Mechanical equation" patented technology

The invention belongs to the technical field of tunnel construction, and relates to a longitudinal slope non-uniform rectangular tunnel surface support pressure calculation method, which comprises the following steps: adjusting an included angle between a wedge and a working surface in a six-block silo-wedge model based on the gradient of a tunnel to be tunneled to obtain an upslope optimization model; on the basis of a stress system of the rectangular pyramid wedge-shaped body and the triangular prism wedge-shaped body in the tunneling process, a mechanical equation of the rectangular pyramid wedge-shaped body in the tunneling process and a mechanical equation of the triangular prism wedge-shaped body in the tunneling process are constructed, and then a critical support pressure control equation representing the working face stability in the tunneling process is obtained; constructing a support pressure equation of the soil cabin partition plate by utilizing a stress balance principle of a soil cabin soil body along a tunneling slope direction; and calculating the supporting pressure of the soil cabin partition plate in real time by utilizing a supporting pressure equation of the soil cabin partition plate based on the tunneling gradient, the burial depth, the working face width, the working face height and the wedge-shaped body sliding face inclination angle in the tunneling process so as to judge whether the working face is stable in the tunneling process of the to-be-tunneled tunnel.

The invention discloses a method for predicting mechanical properties of ultra-high performance concrete, particularly relates to the technical field of dynamic property analysis of building materials, and aims to solve the problem that sudden brittle failure of materials cannot be accurately predicted under impact and explosion loads in the conventional method. The method comprises the following steps: calculating a macroscopic stress-strain response based on a continuum mechanical equation by acquiring a material ratio parameter and a dynamic load condition; constructing topological features through the strain energy entropy change rate to locate a damage area; determining an interface debonding energy threshold value and a crack growth rate of the damaged area in combination with interface fracture mechanics; utilizing the law of conservation of energy to establish dynamic correlation between interface debonding energy and strain energy density; when the crack growth rate exceeds an interface debonding energy threshold value, correcting macroscopic response data of a sudden stress drop interval based on the dynamic association relationship; the cross-scale coupling of a microscopic damage mechanism and a macroscopic mechanical behavior is realized, and the prediction precision under a dynamic load is remarkably improved.

This invention discloses a method, system, and storage medium for detecting the tilt of a vertical pump shaft. The method uses strain sensors to detect the strain of a first, second, and third circumferential surface of the vertical pump shaft, which are spaced apart along the axial direction. Based on the distance between these surfaces, a mechanical equation for the vertical pump shaft is constructed. The strain of these surfaces is then substituted into the mechanical equation to solve for the uniformly distributed load acting on the axial section of the vertical pump shaft. The tilt amplitude of the vertical pump shaft is calculated based on this uniformly distributed load. By installing strain sensors on the surface of the vertical pump shaft to collect the strain, the detection process does not require disassembly of the equipment or structural modifications to the vertical pump shaft, achieving non-invasive detection. This method is low-cost, easy to deploy, and can output the tilt amplitude of the vertical pump shaft, quantifying the tilt condition and facilitating maintenance decisions.

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.

The application discloses a hydraulic fracture translayer extension simulation method based on DDM-perturbation iteration coupling, belongs to the field of oil and gas field development engineering, and aims to solve the problem of insufficient simulation precision of asymmetric translayer extension of a horizontal well hydraulic fracture in stratified non-uniform rock mass. The method is based on a plane strain assumption, constructs a stratified rock mass model containing stratified fracture toughness, establishes a mechanical equation through a displacement discontinuity method (DDM), introduces a perturbation iteration method to dynamically adjust flow distribution, automatically adapts to new rock layer fracture toughness to update and expand criteria during translayer, and outputs vertical extension form and parameters. The method can be used for simulating translayer behavior of a horizontal well vertical fracture, improving calculation precision and efficiency, and providing a reliable tool for fracturing design of shale gas reservoirs and the like.

The invention discloses a method for determining a pull-torsion coupling effect of a semi-parallel steel wire rope. The method comprises the following steps: step 1, establishing a layered model of the semi-parallel steel wire rope; 2, defining the overall strain of the semi-parallel steel wire rope; step 3, establishing a deformation coordination equation of the semi-parallel steel wire rope and the internal steel wires thereof; 4, solving the force and moment of force of the spiral steel wire; 5, establishing an overall mechanical equation of the semi-parallel steel wire rope; and step 6, solving the tension-torsion coupling response of the cable under the specific boundary condition. The analytic model provided by the invention is clear in physical significance, can quickly and accurately predict the tension-torsion coupling behavior of the semi-parallel steel wire rope in the elastic deformation stage, and provides a reliable analysis tool for design, construction safety and service performance evaluation of structures such as bridge inhaul cables and suspenders.

The invention discloses a hydraulic fracture crossing expansion simulation method based on DDM-perturbation iterative coupling, belongs to the field of oil and gas field development engineering, and aims to solve the problem that the precision of asymmetric crossing expansion simulation of a horizontal well hydraulic fracture in a layered non-uniform rock mass is insufficient. The method comprises the following steps of: establishing a stratified rock mass model containing layered fracture toughness, establishing a mechanical equation through a displacement discontinuity method (DDM), introducing a disturbance iteration method to dynamically adjust flow distribution, automatically adapting to new rock stratum fracture toughness during stratum crossing to update an extension criterion, and outputting a vertical extension form and parameters; the method can be used for simulating the horizontal well vertical fracture crossing behavior, the calculation precision and efficiency are improved, and a reliable tool is provided for fracturing design of shale gas and other reservoirs.