scholarly journals Multiobjective Design Optimization of Reentrant Auxetic Model Using Lichtenberg Algorithm Based on Metamodel

2022 ◽  
Author(s):  
Matheus Brendon Francisco ◽  
João Luiz Junho Pereira ◽  
Lucas Antonio de Oliveira ◽  
Sebastião Da Cunha ◽  
Guilherme Ferreira Gomes
Keyword(s):  
Natural Frequency ◽  
Performance Optimization ◽  
Poisson’S Ratio ◽  
Failure Load ◽  
Buckling Load ◽  
Poisson's Ratio ◽  
Critical Buckling Load ◽  
Compression Performance ◽  
Multi Objective ◽  
Multiobjective Design

Abstract The optimization of five different responses of an auxetic model was considered: mass; critical buckling load under compression effort; natural frequency; Poisson’s ratio; and failure load. The Response Surface Methodology was applied, and a new meta-heuristic of optimization called the Multi-Objective Lichtenberg Algorithm was used to find the optimized configuration of the model. It was possible to increase the failure load by 26,75% in compression performance optimization. Furthermore, in the optimization of modal performance, it was possible to increase the natural frequency by 37.43%. Finally, all 5 responses analyzed simultaneously were optimized. In this case, it was possible to increase the critical buckling load by 42.55%, the failure load by 28.70% and reduce the mass and Poisson’s ratio by 15.97% and 11%, respectively. This paper shows something unprecedented in the literature to date when evaluating in a multi-objective optimization problem, the compression and modal performance of an auxetic reentrant model.

Buckling and Vibration of Circular Auxetic Plates

2014 ◽  
Vol 136 (2) ◽  
Author(s):  
Teik-Cheng Lim
Keyword(s):  
Poisson’S Ratio ◽  
Dynamic Properties ◽  
Elastic Stability ◽  
Buckling Load ◽  
Poisson's Ratio ◽  
Circular Plates ◽  
Critical Buckling Load ◽  
Various Boundary Conditions ◽  
Load Factors ◽  
Auxetic Materials

This paper evaluates the elastic stability and vibration characteristics of circular plates made from auxetic materials. By solving the general solutions for buckling and vibration of circular plates under various boundary conditions, the critical buckling load factors and fundamental frequencies of circular plates, within the scope of the first axisymmetric modes, were obtained for the entire range of Poisson's ratio for isotropic solids, i.e., from −1 to 0.5. Results for elastic stability reveal that as the Poisson's ratio of the plate becomes more negative, the critical bucking load gradually reduces. In the case of vibration, the decrease in Poisson's ratio not only decreases the fundamental frequency, but the decrease becomes very rapid as the Poisson's ratio approaches its lower limit. For both buckling and vibration, the plate's Poisson's ratio has no effect if the edge is fully clamped. The results obtained herein suggest that auxetic materials can be employed for attaining static and dynamic properties which are not common in plates made from conventional materials. Based on the exact results, empirical models were generated for design purposes so that both the critical buckling load factors and the frequency parameters can be conveniently obtained without calculating the Bessel functions.

scholarly journals Sandwich panel with in-plane honeycombs in different Poisson's ratio under low to medium impact loads

2021 ◽  
Vol 60 (1) ◽  
pp. 145-157
Author(s):  
Yi Luo ◽  
Ke Yuan ◽  
Lumin Shen ◽  
Jiefu Liu
Keyword(s):  
Poisson’S Ratio ◽  
Sandwich Panel ◽  
Impact Force ◽  
Impact Resistance ◽  
Poisson's Ratio ◽  
Compression Performance ◽  
Post Impact ◽  
Local Impact ◽  
Collapse Behavior ◽  
The Impact

Abstract In this study, a series of in-plane hexagonal honeycombs with different Poisson's ratio induced by topological diversity are studied, considering re-entrant, semi-re-entrant and convex cells, respectively. The crushing strength of honeycomb in terms of Poisson's ratio is firstly presented. In the previous research, we have studied the compression performance of honeycomb with different negative Poisson's ratio. In this study, a comparative study on the local impact resistance of different sandwich panels is conducted by considering a spherical projectile with low to medium impact speed. Some critical criteria (i.e. local indentation profile, global deflection, impact force and energy absorption) are adopted to analyze the impact resistance. Finally, an influential mechanism of Poisson's ratio on the local impact resistance of sandwich panel is studied by considering the variation of core strength and post-impact collapse behavior.

Multi-objective optimization of a novel crash box with a three-dimensional negative Poisson’s ratio inner core

2017 ◽  
Vol 233 (2) ◽  
pp. 263-275 ◽  
Author(s):  
ChunYan Wang ◽  
SongChun Zou ◽  
WanZhong Zhao
Keyword(s):  
Energy Absorption ◽  
Optimization Algorithm ◽  
Poisson’S Ratio ◽  
Inner Core ◽  
Three Dimensional ◽  
Poisson's Ratio ◽  
Negative Poisson’S Ratio ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Negative Poisson's Ratio

The crash box can absorb energy from the beam as much as possible, so as to reduce the collision damage to the front part of the car body and protect the safety of passengers. This work proposes a novel crash box filled with a three-dimensional negative Poisson’s ratio (NPR) inner core based on an inner hexagonal cellular structure. In order to optimize and improve the crash box’s energy absorption performance, the multi-objective optimization model of the NPR crash box is established, which combines the optimal Latin hypercube design method and response surface methodology. Then, the microstructure parameters are further optimized by the multi-objective particle swarm optimization algorithm to obtain an excellent energy absorption effect. The simulation results show that the proposed NPR crash box can generate smooth and controllable deformation to absorb the total energy, and it can further enhance the crashworthiness through the designed optimization algorithm.

Free, Transverse Vibrations of a Solid Elastic Mass in an Infinitely Long, Rigid, Circular-Cylindrical Tank

1960 ◽  
Vol 27 (4) ◽  
pp. 663-668 ◽  
Author(s):  
J. H. Baltrukonis
Keyword(s):  
Natural Frequency ◽  
Poisson’S Ratio ◽  
Natural Frequencies ◽  
Frequency Equation ◽  
Poisson's Ratio ◽  
Cylindrical Tank ◽  
Field Equations ◽  
Displacement Fields ◽  
Transverse Vibrations

Making use of the field equations of elasticity, the frequency equation is derived for the free, transverse vibrations of a solid elastic mass contained by an infinitely long, rigid, circular-cylindrical tank. This frequency equation relates the natural circular frequencies and Poisson’s ratio. This relationship is plotted revealing a very interesting steplike variation of the natural frequency with Poisson’s ratio. Displacement fields are plotted for two natural frequencies in each of the first three modes.

Multi-objective crashworthiness optimization of vehicle body with negative Poisson’s ratio structure based on factorial analysis

2020 ◽  
Vol 234 (14) ◽  
pp. 3329-3346
Author(s):  
Songchun Zou ◽  
Shijuan Dai ◽  
Wanzhong Zhao ◽  
Chunyan Wang ◽  
Han Zhang
Keyword(s):  
Genetic Algorithm ◽  
Poisson’S Ratio ◽  
Factorial Analysis ◽  
Poisson's Ratio ◽  
Vehicle Body ◽  
Surface Model ◽  
Structure Parameters ◽  
Negative Poisson’S Ratio ◽  
Multi Objective ◽  
Negative Poisson's Ratio

To improve vehicle side crashworthiness, this paper first introduces the negative Poisson’s ratio structure to the traditional B-pillar and proposes a negative Poisson’s ratio B-pillar. Then, the performance of the negative Poisson’s ratio B-pillar is studied in detail by comparison with a traditional B-pillar and honeycomb B-pillar. Aiming at the problem that the side crashworthiness is also significantly affected by the side structure parameters of vehicle body, the factorial analysis theory is adopted to screen out the side structure parameters with significant effect. Based on this, by combining the optimal Latin hypercube design and response surface model, a multi-objective optimization design is conducted for those structure parameters based on non-dominated sorting genetic algorithm II. Finally, the normal boundary intersection method is adopted to seek the Pareto optimal solution, and the simulation results show that compared with the traditional B-pillar, the negative Poisson’s ratio B-pillar optimized by non-dominated sorting genetic algorithm II has better comprehensive crashworthiness. The results of this paper can provide some basis for the design and optimization of vehicle side crashworthiness.

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