Natural frequency optimization of 3D printed variable-density honeycomb structure via a homogenization-based approach
Source abstract
Abstract
Abstract It is well-known that the effective mechanical properties of cellular structures can be tuned by varying its relative density. With the advancement of 3D printing, variable-density cellular structures can be fabricated with high precision using this emerging manufacturing technology. Taking advantage of this unique ability to fabricate variable-density cellular structure, an efficient homogenization-based topology optimization method for natural frequency optimization is presented in this work. The method is demonstrated using a cantilevered plate with a honeycomb structure and is validated by detailed finite element analysis and experiment. It is shown that the optimal design can be fabricated by 3D printing and shows significant enhancement in natural frequency and reduction in weight.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Cellular and Composite Structures · Topology Optimization in Engineering · Acoustic Wave Phenomena Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (38)
Show source-provided references
1. Gibson · 2010
2. Gibson · 1999
3. Manufacture: characterisation and application of cellular metals and metal foams10.1016/S0079-6425(00)00002-5 ↗
4. Sound absorption in metallic foams10.1063/1.370550 ↗
5. Sandwich panel design using aluminum alloy foam10.1002/(SICI)1527-2648(200004)2:4<219::AID-ADEM219>3.0.CO;2-# ↗
6. Effective stress-strain relations for two-dimensional cellular sandwich cores: homogenization, material models, and properties10.1115/1.1425394 ↗
7. Dynamic Young's modulus and loss factor of plastic foams for impact sound isolation10.1006/jsvi.1994.1488 ↗
8. Cellular metals manufacturing10.1002/1527-2648(20021014)4:10<726::AID-ADEM726>3.0.CO;2-Y ↗
9. Gibson · 2010
10. Progress in additive manufacturing and rapid prototyping10.1016/S0007-8506(07)63240-5 ↗
11. Wohlers · 2011
12. Scott · 2012 · 1
13. Tough composites inspired by mineralized natural materials: computation, 3D printing, and testing10.1002/adfm.201300215 ↗
14. Wrinkling of interfacial layers in stratified composites10.1002/adem.201200387 ↗
15. The influence of cracks, notches and holes on the tensile strength of cellular solids10.1016/S1359-6454(01)00203-8 ↗
16. Micro-architectured materials: past, present and future Proceedings of the Royal Society A: Mathematical
17. The mechanical properties of cellular solids10.1007/BF02645546 ↗
18. Ductile fracture of two-dimensional cellular structures–Dedicated to Prof. Dr. -Ing. D. Gross on the occasion of his 60th birthday10.1023/A:1012248030212 ↗
19. Heuristic optimization method for cellular structure design of light weight components10.1007/s12541-013-0144-5 ↗
20. http://www.within-lab.com/medical/index.php.
21. Multifunctional topology design of cellular material structures10.1115/1.2829876 ↗
22. Proportional Topology Optimization: a new non-gradient method for solving stress constrained and minimum compliance problems and its implementation in MATLAB
23. Efficient design-optimization of variable-density hexagonal cellular structure by additive manufacturing: theory and validation10.1115/1.4028724 ↗
24. Burblies · 2008
25. Brackett · 2011
26. Efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation10.1108/RPJ-04-2016-0069 ↗
27. Integration of Topology Optimization with Efficient Design of Additive Manufactured Cellular Structures
28. To efficient design optimization of variable-density cellular structures for additive manufacturing: theory and experimental validation
29. Svanberg · 2007
30. The method of moving asymptotes—a new method for structural optimization10.1002/nme.1620240207 ↗
31. Non-stationary optimality conditions in structural design10.1016/0020-7683(79)90051-9 ↗
32. Design sensitivity analysis in structural mechanics. II. Eigenvalue variations10.1080/03601218008907358 ↗
33. Multiple eigenvalues in structural optimization problems10.1007/BF01742705 ↗
34. Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives10.1016/S0045-7949(98)00326-5 ↗
35. Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps10.1007/s00158-007-0101-y ↗
36. Gibson · 1982
37. Lu · 2001
38. Li · 2008