GPU acceleration method for dynamic response analysis of thin-plate gridless Galerkin structure

Abstract

The invention discloses a GPU (Graphics Processing Unit) acceleration method for dynamic response analysis of a thin plate gridless Galerkin structure. The method comprises the following steps: reading sheet data into a host memory through a CPU (Central Processing Unit), calculating relevant data required by parallel processing of a GPU (Graphics Processing Unit) according to input data, and copying the obtained data into a GPU global memory; setting the number of thread blocks and the number of threads on the GPU, performing parallel acceleration calculation on shape function values corresponding to the nodes, then establishing a one-to-one mapping mode of the thread blocks and the cross nodes of the GPU, and performing parallel acceleration assembly on an overall stiffness matrix and amass matrix of the thin plate; correcting the overall stiffness matrix on the GPU according to boundary conditions, then obtaining a damping matrix and an effective stiffness matrix through the mass matrix and the corrected stiffness matrix, and performing triangular decomposition on the effective stiffness matrix; and carrying out dynamic response analysis on the thin plate in a GPU by adopting aNewmark method, and finally outputting a result of solving the displacement, speed and acceleration. According to the method, the solving efficiency of dynamic response analysis is greatly improved.

Description

technical field [0001] The invention belongs to the technical field of structural dynamic simulation analysis of thin plates in computer-aided engineering, and in particular relates to a GPU (Graphic Processing Unit, graphics processor) acceleration method for dynamic response analysis of thin plate gridless Galerkin (Galerkin) structures. Background technique [0002] Thin plate dynamic response analysis is to study the dynamic response information of mechanical parameters such as displacement, velocity and acceleration produced by the thin plate under the excitation of dynamic load, and it is one of the important foundations for dynamic design, sensitivity analysis and optimization of thin plate structures. In engineering, plate and shell structures are required in many fields, such as vehicles, ships, aircraft, and pressure vessels. vibration. When the vibration of the thin plate exceeds the allowable range, it will affect the working performance of the equipment, shorte...

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Problems solved by technology

[0005] The purpose of the present invention is to provide a thin-plate mesh-free Galerkin structural dynamic response analysis of the structural dynamic response of the thin-plate mesh-free Galerkin method for the problems of long assembly time of the stiffness matrix and the mass matrix, low efficiency of the solution of the damping matrix and the overall discrete system equation, etc. A GPU Accelerated Method for Response Analysis

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