Implementation of Structural Assemblies by Simultaneous Projection and Density-Based Topology Optimization
Author(s) -
Nouman Saeed,
Kai Long,
Jamshed Ahmed Ansari,
Nasif Raza Jaffri,
Usama Abrar
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/8603046
Subject(s) - topology optimization , joins , topology (electrical circuits) , mathematics , mathematical optimization , projection (relational algebra) , projection method , key (lock) , point (geometry) , computer science , algorithm , finite element method , geometry , physics , computer security , combinatorics , dykstra's projection algorithm , thermodynamics , programming language
This article proposed a methodology that combines two well-known projections and modified density-based optimized techniques in one formulation methodology. This methodology contains an effective explicit geometric entity identified by shape variables that provide easy control in desired particular regions; implicit density-based topological optimization entities utilized topological variables that offer critical design elsewhere. Our main attractive key point of this combined formulation approach is structural assemblies. Structure always manufactures in many patches and joins them by utilizing the structural assemblies such as welding and riveting. It is not easy to execute the structural patches at the required region without acknowledging their dimensions. This proposed approach demonstrates the competence to impose the restrictions related to shape and topological variables of interfaces among the specific patches. Numerous standard numerical examples make sure the validation of the introduced methodology. It remarked that the optimal design could minimize compliance and the minimum number of iterations through numerically performed, concerning computational cost minimized without any kind loss of accuracy of the final structure.
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