The Influence of the Load Term of the Strain Energy Sensitivity in the Shell Shape Optimization
Source abstract
Abstract
The sensitivity method is a type of effective shape optimization method and the strain energy is a frequently used objective function. The change of a surface shape inevitably causes a change in its quality. However, the influence of the load term on strain energy sensitivity has not been considered in many studies. In order to make the influence clear, the formula of the strain energy sensitivity including the load term was first derived. Secondly, the influence of the sensitivity load term on the structural evolution was studied by using different optimization schemes. The results showed that the load term of strain energy sensitivity accounts for a small proportion of the whole strain energy sensitivity, but it still has a cumulative impact on the structural evolution, and the shell thickness has an impact on the role of the load term of the strain energy sensitivity. The load term could influence the rate of increase in the structural weight and had an impact on the shape change to some extent. Therefore, for general construction projects, the strain energy sensitivity should be with the load term if the shell thickness is very thin or a higher performance of the structure is required.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Topology Optimization in Engineering · Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Civil Engineering and Architecture, Hainan University, Haikou 570228, China
School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China
Funding
National Natural Science Foundation of China · the Hainan Science and Technology Association Youth Science and Technology Talent Innovation Project
References (24)
Show source-provided references
1. Analytical and numerical shape optimization of a class of structures under mass constraints and self-weight10.1061/(ASCE)EM.1943-7889.0001693 ↗
2. Shape optimization of shell structures10.1080/12506559.1993.10511083 ↗
3. Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting10.1016/j.cma.2014.02.001 ↗
4. Structural shape optimization of free-form surface shell and property of solution search using firefly algorithm10.1007/s12206-015-0317-5 ↗
5. A numerical method for form finding and shape optimization of reciprocal structures10.1016/j.engstruct.2019.109510 ↗
6. Simultaneous optimization of shape and topology of free-form shells based on uniform parameterization model10.1016/j.autcon.2019.02.018 ↗
7. Structure morphogenesis of free-form surfaces based on B-spline
8. A morphosis technique for curved-surface structures of arbitrary geometries-height adjusting method and its engineering applications
9. Cui, C., Zheng, H., and Jiang, B. (2010, January 10–12). The engineering applications of free form curved-surface by the height adjusting method. Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium, Shanghai, China.
10. Adriaenssens, S., and Block, P. (2014). Structural design of free-curved RC shells—An overview of built works. Shell Structures for Architecture, Routledge Taylor & Francis Group.10.4324/9781315849270 ↗
11. A morphogenesis method for shape optimization of framed structures subject to spatial constraints10.1016/j.engstruct.2014.07.032 ↗
12. Node shift method for stiffness-based optimization of single-layer reticulated shells10.1631/jzus.A1300239 ↗
13. Global shape optimization of free-form cable-stiffened latticed shell based on local optimal solutions10.1016/j.engstruct.2018.05.008 ↗
14. Truss optimization on shape and sizing with frequency constraints based on genetic algorithm10.1007/s00466-004-0623-8 ↗
15. The effect of material and thickness variability on the buckling load of shells with random initial imperfections10.1016/j.cma.2004.01.043 ↗
16. Free-form optimization method for buckling of shell structures under out-of-plane and in-plane shape variations10.1007/s00158-016-1402-9 ↗
17. Analysis and optimal design of plates and shells under dynamic loads—II: Optimization10.1007/s00158-003-0360-1 ↗
18. Optimal structural frequency design of stiffened shell10.4028/www.scientific.net/AMM.157-158.1636 ↗
19. Structural topology optimization on dynamic compliance at resonance frequency in thermal environments10.1007/s00158-013-0961-2 ↗
20. Adriaenssens, S., and Block, P. (2014). Computational form finding and optimization. Shell Structures for Architecture: Form Finding and Optimization, Routledge Taylor & Francis Group.
21. Evolutionary methods for topology optimisation of continuous structures with design dependent loads10.1016/j.compstruc.2004.10.011 ↗
22. The influence of structural mass on optimization effect of rational criterion methods
23. Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces10.1016/j.cad.2017.09.006 ↗
24. A new node-shifting method for shape optimization of reticulated spatial structures10.1016/j.engstruct.2017.09.051 ↗