Comparative Study of Optimization Techniques in Sizing Mesostructures for Use in NonPneumatic Tires

Abstract

This paper presents a comparative study on the size optimization of four mesostructures to meet the design requirements for a nonpneumatic tire's (NPT) shear beam with 10% shear flexure (SF) at 10 MPa effective shear modulus. The need for such comparison is motivated from the previous research wherein a systematic design method is proposed to design a mesostructure with high SF by studying the strain energy distribution pattern in honeycomb, auxetic, and sinusoidal auxetic mesostructure. Based upon the distribution pattern, a new type of mesostructure termed S-type is invented. Although it exhibited higher SF than the other mesostructures for a comparable set of geometry, it is not possible to validate the design method without exploring the complete design space of both existing and newly invented mesostructures. In order to address this limitation, these four mesostructures are optimized using the following optimization algorithms: (i) particle swarm; (ii) genetic algorithm (GA); and (iii) FAST–SIMPLEX (using response surface method). The results show the S-type mesostructure can be configured to meet the design requirements, thereby validating the design method presented in previous research. Additionally, it is also observed that auxetic mesostructure is only 5% less than the required design target, which presents an opportunity in future, to develop an alternate design method to maximize SF other than the one that is being validated in this paper.

Metamaterial topology optimization of nonpneumatic tires with stress and buckling constraints

“…Given that a low‐volume fraction is integral to the solution, a way of achieving this is with periodic empty spaces, that is, a columnar structure without connectivity between the RUCs. There is a minor analogy to the mesostructures investigated (as sizing problems) in Shankar et al Figures and illustrate the effect of not having the stress constraint. The effective shear modulus is achieved with lower volume fraction designs than those obtained with the stress constraint.…”

“…3 The hysteretic loss of the NPT can be reduced by use of a mesostructure or metamaterial composed of material with low-intrinsic damping loss coefficient (essentially elastic). See Fazelpour and Summers 4 for an overview of mesostrucutres with respect to the NPT, and Berglind et al, 5 Shankar et al, 6 and Czech et al, 7 for selected specific examples.…”

A Game‐Theoretical Framework for Coordination in Requirement‐Based Engineering Design

“…They demonstrated with an example that requirement based engineering approach does not result in the best possible design solution. The limitations of requirement-based engineering design are also addressed by ( Collopy, 2007;Lee, 2014;Shankar, Fazelpour and Summers, 2015;Yoder et al, 2015;Fazelpour, Shankar and Summers, 2016;Sridhar et al, 2016). Much of this research, however, used either case studies or qualitative research methods to point out the challenges of requirement-based engineering design.…”

Load Balancing based on Bee Colony Algorithm with Partitioning of Public Clouds

“…There are many papers have been proposed based on optimization in them [10]- [19] and [24]- [26]. These papers tried to optimize their problems by presented some formal methods and fitness functions in them.…”