Abstract

Abstract This paper uses the finite element method to explain the specific nature of numerical instability such as network dependence in the topology optimisation of engineering structures from the perspective of partial differential equations. Gaussian function filtering method reduces the global impact of local extremum on topology optimisation. Finally, the method is introduced into the topology optimisation of concrete gravity dams in hydraulic engineering, and the topology optimisation program is developed in conjunction with ANSYS software language to achieve the topology optimisation of building structures in hydraulic engineering from a technical perspective.

Highlights

  • Structural topology optimisation is the development of structural shape optimisation and an aspect of layout optimisation

  • Because of its powerful compatibility, if you want to use ANSYS to design a program for topology optimisation, you only need to combine it with the FORTRAN language for hybrid analysis

  • The thesis is closely related to the actual situation of hydraulic engineering

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Summary

Introduction

Structural topology optimisation is the development of structural shape optimisation and an aspect of layout optimisation. There may be a situation where the change in the number of openings may be more effective in reducing the weight of the plate than the change in the shape of the openings under the same design constraints. This is the original research purpose of topology optimisation. Both finite element and boundary element can be used to automatically divide the mesh, there is no research on the data processing of a model with a topology change, so it is very difficult to automatically generate openings in the design area. This paper chooses ANSYS software to realise the calculation of structural topology optimisation, and from the technical point of view, it realises the structural topology optimisation of hydraulic buildings

Structural topology optimisation based on homogenisation method theory
The mathematical paradox in homogenisation
Semi-uniform iteration method
ANSYS software
Grid dependency
Finite element analysis method
Grid-independent filtering method
Basic situation of load and section
Findings
Summary

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