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

A dynamic response, meshless technology, applied in special data processing applications, complex mathematical operations, instruments, etc., can solve problems such as long assembly time of stiffness matrix and mass matrix, low efficiency in solving damping matrix and overall discrete system equation, etc. Achieve the effect of shortening assembly calculation time, reducing solution time, and high precision

Active Publication Date: 2019-07-02
XIANGTAN UNIV
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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 pro

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

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Embodiment Construction

[0031] The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.

[0032] see figure 1 , the GPU acceleration method of the thin plate gridless Galerkin structure dynamic response analysis of the present invention comprises the steps in the following order:

[0033] (1) Read the node coordinates, background integral grid, material physical properties, constraint conditions and dynamic load data of the thin plate through the CPU, as well as the calculation time step of the solution setting parameters and dynamic response, and store them in the host memory; in the thin plate Arrange integration points inside and on the displacement boundary, and solve the integration point data inside the thin plate and on the displacement boundary; through the circular search of the nodes and integration points of the thin plate, determine the integration point data in the influence domain of each node, and the definition doma...

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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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Application Information

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IPC IPC(8): G06F17/50G06F17/16
CPCG06F17/16G06F2117/08G06F2119/06G06F30/20Y02T90/00
Inventor 龚曙光许延坡卢海山张建平左志坚
Owner XIANGTAN UNIV
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