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Civil-Comp Conferences
ISSN 2753-3239
CCC: 10
PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: P. Iványi, J. Kruis and B.H.V. Topping
Paper 3.2

Structural Topology Optimization Subjected to the Variance Constraint of Normal Deformation

D. Wu, T. Gao and W. Zhang

Northwestern Polytechnical University, China

Full Bibliographic Reference for this paper
D. Wu, T. Gao, W. Zhang, "Structural Topology Optimization Subjected to the Variance Constraint of Normal Deformation", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 3.2, 2025,
Keywords: topology optimization, thermal protection structure, deformation control, nodal displacements, variance constraint, sensitivity analysis.

Abstract
This paper proposed an optimization method which improves the uniformity of normal deformation of local regions in the boundary of structure. Firstly, the variance of normal displacements is proposed as the measurement of the uniformity of normal deformation on a surface under small deformation conditions. And a topology optimization method based on the density method improving uniformity of normal deformation on surfaces is proposed by introducing variance of normal displacements into topology optimization problems. The relative sensitivity is calculated via adjoint method. Afterwards, the proposed method has been verified on a numerical case. The result of the numerical case implied that by using the proposed optimization method the uniformity of normal deformation on a surface is quantitively measured properly and effectively improved with a slight influence on global stiffness and acceptable extra cost on convergence.

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