scholarly journals Topology optimization of phononic-like structures using experimental material interpolation model for additive manufactured lattice infills

2021 ◽  
Vol 377 ◽  
pp. 113717
Author(s):  
Xuan Liang ◽  
Albert C. To ◽  
Jianbin Du ◽  
Yongjie Jessica Zhang
Keyword(s):  
Topology Optimization ◽  
Interpolation Model ◽  
Material Interpolation

scholarly journals Designing Self Supported SLM Structures via Topology Optimization

2019 ◽  
Vol 3 (3) ◽  
pp. 68 ◽  
Author(s):  
B. Barroqueiro ◽  
A. Andrade-Campos ◽  
R. A. F. Valente
Keyword(s):  
Topology Optimization ◽  
Numerical Stability ◽  
Discrete Solution ◽  
Interpolation Model ◽  
Equilibrium Equations ◽  
Feature Size ◽  
Economic Competitiveness ◽  
Material Interpolation ◽  
The Subject ◽  
Minimum Feature Size

The potential of Additive Manufacturing (AM) is high, with a whole new set of manufactured parts with unseen complexity being offered. However, the process has limitations, and for the sake of economic competitiveness, these should also be considered. Therefore, a computational methodology, capable of including the referenced limitations and providing initial solid designs for Selective Laser Melting (SLM) is the subject of the present work. The combination of Topology Optimization (TO) with the simplified fabrication model is the selected methodology. Its formulation, implementation, and integration on the classic TO algorithm is briefly discussed, being capable of addressing the minimum feature size and the overhang constraint limitations. Moreover, the performance and numerical stability of the methodology is evaluated, and numerical variables, such as the accuracy of structural equilibrium equations and the material interpolation model, are considered. A comparative study between these variables is presented. The paper then proposes an enhanced version of the selected methodology, with a better convergence towards a discrete solution.

scholarly journals NODAL COSINE SINE MATERIAL INTERPOLATION IN MULTI OBJECTIVE TOPOLOGY OPTIMIZATION WITH THE GLOBAL CRITERIA METHOD FOR LINEAR ELASTO STATIC, HEAT TRANSFER, POTENTIAL FLOW AND BINARY CROSS ENTROPY SHARPENING

2021 ◽  
Vol 1 ◽  
pp. 2247-2256
Author(s):  
Martin Denk ◽  
Klemens Rother ◽  
Mario Zinßer ◽  
Christoph Petroll ◽  
Kristin Paetzold
Keyword(s):  
Heat Transfer ◽  
Topology Optimization ◽  
Potential Flow ◽  
Cross Entropy ◽  
Objective Criterion ◽  
Multi Objective ◽  
Material Interpolation ◽  
Continuous Material ◽  
Mean Compliance ◽  
Transfer Potential

AbstractTopology optimization is typically used for suitable design suggestions for objectives like mean compliance, mean temperature, or model analysis. Some modern modeling technics in topology optimization require a nodal based material interpolation. Therefore this article is referred to a continuous material interpolation in topology optimization. To cover a smooth and differentiable density field, we address trigonometric shape functions which are infinitely differentiable. Furthermore, we extend a so-known global criteria method with a sharpening function based on binary cross-entropy, so that sharper solutions results. The proposed material interpolation is applied to different applications such as heat transfer, elasto static, and potential flow. Furthermore, these different objectives are together optimized using a multi-objective criterion.

scholarly journals Topology Optimization of Passive Constrained Layer Damping with Partial Coverage on Plate

2013 ◽  
Vol 20 (2) ◽  
pp. 199-211 ◽  
Author(s):  
Weiguang Zheng ◽  
Yingfeng Lei ◽  
Shande Li ◽  
Qibai Huang
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Objective Function ◽  
Optimization Procedure ◽  
Constrained Layer Damping ◽  
Flat Plates ◽  
Modal Strain Energy ◽  
Partial Coverage ◽  
Material Interpolation ◽  
Passive Constrained Layer Damping

The potential of using topology optimization as a tool to optimize the passive constrained layer damping (PCLD) layouts with partial coverage on flat plates is investigated. The objective function is defined as a combination of several modal loss factors solved by finite element-modal strain energy (FE-MSE) method. An interface finite element is introduced to modeling the viscoelastic core of PCLD patch to save the computational space and time in the optimization procedure. Solid isotropic material with penalization (SIMP) method is used as the material interpolation scheme and the parameters are well selected to avoid local pseudo modes. Then, the method of moving asymptote (MMA) is employed as an optimizer to search the optimal topologies of PCLD patch on plates. Applications of two flat plates with different shapes have been applied to demonstrate the validation of the proposed approach. The results show that the objective function is in a steady convergence process and the damping effect of the plates can be enhanced by the optimized PCLD layouts.

Topology Optimization of Electrostatically Actuated Micromechanical Structures With Accurate Electrostatic Modeling of the Interpolated Material Model

2006 ◽  
Author(s):  
Aravind Alwan ◽  
G. K. Ananthasuresh
Keyword(s):  
Topology Optimization ◽  
Electrostatic Force ◽  
Material Model ◽  
Optimality Criteria ◽  
Electrostatically Actuated ◽  
Optimality Criteria Method ◽  
Material State ◽  
Material Interpolation ◽  
New Formulation ◽  
Electrostatic Modeling

In this paper, we present a novel formulation for performing topology optimization of electrostatically actuated constrained elastic structures. We propose a new electrostatic-elastic formulation that uses the leaky capacitor model and material interpolation to define the material state at every point of a given design domain continuously between conductor and void states. The new formulation accurately captures the physical behavior when the material in between a conductor and a void is present during the iterative process of topology optimization. The method then uses the optimality criteria method to solve the optimization problem by iteratively pushing the state of the domain towards that of a conductor or a void in the appropriate regions. We present examples to illustrate the ability of the method in creating the stiffest structure under electrostatic force for different boundary conditions.

scholarly journals Food Vehicle Frame Topology Optimization Based on Bi-directional Interpolation Model

2016 ◽  
Vol 10 (6) ◽  
pp. 401-404
Author(s):  
Lu Jianfeng ◽  
Li Jiachun ◽  
Chen Lunjun ◽  
LI Yugang ◽  
Han Jinjin
Keyword(s):  
Topology Optimization ◽  
Interpolation Model ◽  
Directional Interpolation

Application of Topological Optimization on Aluminum Alloy Automobile Wheel Designing

2012 ◽  
Vol 562-564 ◽  
pp. 705-708
Author(s):  
Zhi Jun Zhang ◽  
Hong Lei Jia ◽  
Ji Yu Sun ◽  
Ming Ming Wang
Keyword(s):  
Topology Optimization ◽  
Lightweight Design ◽  
Optimization Method ◽  
Variable Density ◽  
Topological Optimization ◽  
Optimal Topology ◽  
Element Analysis ◽  
Material Interpolation ◽  
Strength And Stiffness

Topology optimization method based on variable density and the minimum compliance objective function was used on designing the wheel spokes. SIMP material interpolation model was established to compensate these deficiencies of variable density method. Considering manufacturing process and stress distribution, five bolt wheels was chose to topology optimization. The percentage of material removal of the optimal topology 40% was reasonable. Finite element analysis was used to test the strength and stiffness of the structure of the wheel, the result meets the requirements after wheel topology optimization, and reduces the quality of wheels to 7.76kg, achieve the goals of lightweight design.

Topology Optimization Design of Structures Based on Eigenfrequency Matching

2021 ◽  
Author(s):  
Daniel Giraldo-Guzmán ◽  
Clifford Lissenden ◽  
Parisa Shokouhi ◽  
Mary Frecker
Keyword(s):  
Topology Optimization ◽  
Optimization Design ◽  
Programming Algorithm ◽  
Optimization Approach ◽  
Resonator Design ◽  
Linear Programming Algorithm ◽  
Target Values ◽  
Material Interpolation ◽  
Optimization Parameters ◽  
Analytical Sensitivities

Abstract We demonstrate the design of resonating structures using a density-based topology optimization approach, which requires the eigenfrequencies to match a set of target values. To develop a solution, several optimization modules are implemented, including material interpolation models, penalization schemes, filters, analytical sensitivities, and a solver. Moreover, common challenges in topology optimization for dynamic systems and their solutions are discussed. In this study, the objective function is to minimize the error between the target and actual eigenfrequency values. The finite element method is used to compute the eigenfrequencies at each iteration. To solve the optimization problem, we use the sequential linear programming algorithm with move limits, enhanced by a filtering technique. Finally, we present a resonator design as a case study and analyze the design process with different optimization parameters.

An Adaptive Material Interpolation for the Reconstruction of P-Wave Velocity Models with Sharp Interfaces using the Topology Optimization Method

2021 ◽  
pp. 2150016
Author(s):  
Juliano F. Gonçalves ◽  
Emílio C. N. Silva
Keyword(s):  
Topology Optimization ◽  
Wave Velocity ◽  
Optimization Problem ◽  
Material Model ◽  
Optimization Method ◽  
P Wave ◽  
Velocity Models ◽  
P Wave Velocity ◽  
Material Interpolation ◽  
Sharp Interfaces

A topology optimization (TO) approach is used to reconstruct P-wave velocity models with sharp interfaces. The concept of material model (interpolation), usually applied in TO to design structures and multi-physics devices, is explored in this work to solve this inverse problem. An adaptive interpolation rule is proposed to deal with the reconstruction problem as a transition from a single- to a multi-material approach combining the Solid Isotropic Material with Penalization (SIMP) and peak function material models. Data collected during the optimization process is used to find material candidates by means of a curve fitting strategy based on generalized simulated annealing (GSA), if this information is not available. The numerical analysis is carried out using a finite element (FE) approach in the frequency domain. Both forward and adjoint problems are solved aided by an open source Domain-Specific Language (DSL) framework and automated derivation tool, while the optimization problem is solved by using a BFGS algorithm. Numerical results for 2D examples demonstrated that proposed material interpolation can lead to solutions with sharper interfaces and improved resolution without including any type of regularization or extra constraint in the optimization problem.

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