3 results about "Galerkin method" patented technology

The application belongs to the field of gear transmission system squeeze film damper damping, especially relates to a kind of gear squeeze film damper damping quick calculation method and system, obtains the structural parameter of squeeze film damper, carries out velocity calculation and constructs the Reynolds equation of squeeze film damper oil film pressure;Based on half-step center finite difference method, the Reynolds equation is solved, and the oil film distribution pressure of oil film damper is obtained;Based on oil film distribution pressure, the oil film counterforce of oil film damper is calculated using double integral algorithm.Compared with the classical short bearing approximate solution and long bearing approximate solution, its use range is wide, and compared with super relaxation iteration method, its calculation efficiency is high.Make it can be used in gear dynamics model to carry out damping analysis.When solving fluid Reynolds equation by finite difference method, only the working condition with regular boundary condition can be processed.Based on variational principle and Galerkin method, a new more general finite element method is proposed to calculate the oil film counterforce of SFD.

The application relates to the technical field of composite material analysis, and discloses an online thermal analysis method and system for composite materials and a storage medium, which comprises multi-physical field coupling modeling, a thermal response coupling model containing solid-gas phase interaction is constructed, a correlation relationship between parameters and temperature and decomposition reaction progress is established, spatial discretization is carried out by using the Galerkin method, a thermal response differential equation set is solved by using an implicit or explicit time stepping algorithm, temperature field distribution, mass loss and carbon layer formation data are obtained, the carbon layer formation standard is that the mass fraction of a matrix is reduced by 20%, the carbon layer thickness is calculated by mass loss, a mechanical property parameter model is established, and the residual strength after a fire is calculated, and a temperature-time curve, residual strength distribution and parameter sensitivity analysis report can be visually displayed on an online platform. The application realizes full-process analysis from thermal response simulation to residual strength evaluation, improves prediction accuracy, and reduces the application threshold.

This invention relates to the field of geotechnical engineering, specifically to a method, medium, and equipment for simulating random fields in rock masses within fault zones of railway tunnels. The method includes: meshing the rock mass space within the fault zone of the railway tunnel; interpolating through nodes within the mesh; artificially reducing the dimensionality of the three-dimensional random field covariance structure of the rock mass; introducing the Galerkin method to perform K-L expansion to solve for eigenvectors and eigenvalues; solving for the number of truncated terms in the K-L expansion; and generating random field samples based on the eigenvectors, eigenvalues, and the number of truncated terms in the K-L expansion. This invention, by establishing a rock mass mesh in the fault zone of a railway tunnel that satisfies finite element mechanical simulation, combined with the Galerkin method's weak form integral equation solution method for finite element analysis, achieves efficient and accurate simulation of parametric random fields under spatial variations of rock mass parameters in fault zones of railway tunnels. Furthermore, this method can be used to handle complex rock mass geometric conditions, demonstrating strong practical engineering significance.