Loading...
4 results
Search Results
Now showing 1 - 4 of 4
- Topology optimization of light structures using the natural neighbour radial point interpolation methodPublication . Gonçalves, D. C.; Lopes, Joel; Campilho, R.D.S.G.; Belinha, JorgeIn this work, a bi-directional evolutionary topology optimization algorithm capable of reinforcing the structure at critical high stress regions is combined with the Natural Neighbour Radial Point Interpolation Method (NNRPIM). The NNRPIM uses the Voronoï diagram and natural neighbour concept to establish the background integration points, enforce the nodal connectivity, and construct the RPI shape functions. State-of-the-art of meshless methods in topology optimization is limited when compared with the classic Finite Element Method. Hence, this work originally introduces an accurate truly meshless method, the NNRPIM, to the topology optimization field. The proposed algorithm is validated by solving several benchmark topology optimization problems. A parametric study on algorithm parameters and mesh influence is performed, and the computational processing time is also evaluated Finally, the proposed calibrated method is extended to design lightweight aircraft industry components.
- The Radial Point Interpolation Method combined with a bi-directional structural topology optimization algorithmPublication . Gonçalves, D. C.; Lopes, Joel; Campilho, R.D.S.G.; Belinha, JorgeProjecting reduced-weight components with increased performance is a continuous engineering challenge, especially in the aircraft industry, where fuel consumption, emissions, and performance are highly dependent on structure weight. Nowadays, topology optimization is a growing computational technique capable of calculating optimal material configurations within a design domain and boundary conditions. Although the Finite Element Method (FEM) is the most disseminated discretization technique in engineering, meshless methods emerged as efficient alternatives to mesh-based methods. In meshless methods, the problem domain is discretized by an unstructured nodal distribution with no predetermined connectivity. Additionally, accurate and smooth stress fields can be obtained as a result of the elaborate shape functions and deep nodal connectivity allowed by meshless techniques. Despite, meshless methods application to topology optimization is still limited. In this work, an improved evolutionary topology optimization algorithm is combined with the Radial Point Interpolation Method (RPIM), a meshless technique. First, the proposed method was validated by solving two benchmark topology optimization problems, for which the developed algorithm efficiently achieved the optimal material configuration. Then, the capability of the topology optimization algorithm is demonstrated by extending the methodology to practical aircraft applications.
- Topology optimization using a natural neighbour meshless method combined with a bi-directional evolutionary algorithmPublication . Gonçalves, D.C.; Lopes, Joel; Campilho, R.D.S.G.; Belinha, JorgeDue to recent developments in the additive manufacturing industry, topology optimization is nowadays a powerful computational tool that allows to design feasible lightweight components. Although the Finite Element Method (FEM) is the most applied discretization technique, meshless methods are currently established as accurate numerical methods with relevant advantages in several engineering fields. Nonetheless, the state-of-the-art of meshless methods in topology optimization is still scarce. This work develops the combination of a bi-direction structural optimization (BESO) algorithm with the Natural Neighbour Radial Point Interpolation Method (NNRPIM), a meshless method combining the natural neighbours geometric concept with the RPI shape functions. First, several benchmark examples are solved to evaluate the algorithm capability under several algorithm parameters. The proposed methodology is then implemented to design new automotive lightweight components. The results from the numerical applications demonstrate that the NNRPIM is a solid technique to be incorporated in optimization algorithms. Additionally, innovative automotive industry designs for additive manufacturing can be obtained using the presented approach.
- An evolutionary structural optimization algorithm for the analysis of light automobile parts using a meshless techniquePublication . Gonçalves, Diogo; Lopes, Joel; Campilho, Raul; Belinha, JorgePurpose The purpose of the present work is to develop the combination of the radial point interpolation method (RPIM) with a bi-directional evolutionary structural optimization (BESO) algorithm and extend it to the analysis of benchmark examples and automotive industry applications. Design/methodology/approach A BESO algorithm capable of detecting variations in the stress level of the structure, and thus respond to those changes by reinforcing the solid material, is developed. A meshless method, the RPIM, is used to iteratively obtain the stress field. The obtained optimal topologies are then recreated and numerically analyzed to validate its proficiency. Findings The proposed algorithm is capable to achieve accurate benchmark material distributions. Implementation of the BESO algorithm combined with the RPIM allows developing innovative lightweight automotive structures with increased performance. Research limitations/implications Computational cost of the topology optimization analysis is constrained by the nodal density discretizing the problem domain. Topology optimization solutions are usually complex, whereby they must be fabricated by additive manufacturing techniques and experimentally validated. Practical implications In automotive industry, fuel consumption, carbon emissions and vehicle performance is influenced by structure weight. Therefore, implementation of accurate topology optimization algorithms to design lightweight (cost-efficient) components will be an asset in industry. Originality/value Meshless methods applications in topology optimization are not as widespread as the finite element method (FEM). Therefore, this work enhances the state-of-the-art of meshless methods and demonstrates the suitability of the RPIM to solve topology optimization problems. Innovative lightweight automotive structures are developed using the proposed methodology.