Abstract
Design of mechanical structures for aeronautical applications is mainly aimed towards maximizing the strength-to-weight ratio and alleviating the vibratory response to the maximum extent so that the stresses are well below the endurance limit. The present paper aims to bring out features that fulfil these requirements. An innovative approach is the introduction of a chiral lattice in the structure that can enhance the damping in structure through intentional deformations in the chiral webs and that can also be tuned to act as vibration absorbers to reduce the overall vibratory response of the structure. The design features suggested can be successfully implemented in components like aerofoils, engine carcass, blisks and disks. This is possible due to the advent of 3D printing technology. The paper aims to bring out these aspects by considering a simple cantilever beam with a chiral lattice internal to it. Further parametrization of geometric designs is undertaken to understand the vibratory response characteristics.
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Abbreviations
- C :
-
Damping coefficient
- K :
-
Stiffness
- M :
-
Mass
- Q:
-
Qualification factor
- W :
-
Total kinetic energy
- \(C_c\) :
-
Critical damping
- F d :
-
Damping force
- F(t) :
-
Dynamic force
- \(\Delta W\) :
-
Energy dissipated in one cycle
- \(\beta\) :
-
Hysteretic damping constant
- \(\delta\) :
-
Logarithmic decrement
- \(\phi\) :
-
Phase
- \(\zeta\) :
-
Damping factor
- \(\eta\) :
-
Loss factor
- \(\varphi\) :
-
Specific damping capacity
- \(\omega_n\) :
-
Natural frequency
- \(\omega_d\) :
-
Damped natural frequency
- μ:
-
Mass ratio
- γ :
-
Optimal damping ratio
- ϵ:
-
Optimal frequency ratio
References
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Wenwang W et al (2019) Mechanical design and multifunctional application of chiral mechanical metamaterials: a review. J Mater Des 180:107950
Zhu D et al (2016) Vibration isolation characteristics of finite periodic tetra-chiral lattice coating filled with resonators. J Mech Eng Sci 230(16):2840–2850
Bacigalupo A, Ambarotta LG (2016) Simplified modelling of chriral lattice materials with local resonators. Int J Solids Struct 83:126–141
Acknowledgements
The authors acknowledge Director GTRE, Bangalore, for extending his support in motivating and permitting to undertake this work on chiral lattice structure behaviour for its potential application in the field of gas turbine technology.
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Barad, R.S., Nagesh, B.K., Barad, S., Suresh, T.N. (2023). Influence of Chiral Lattice on Modal Characteristics of Structures. In: Sivaramakrishna, G., Kishore Kumar, S., Raghunandan, B.N. (eds) Proceedings of the National Aerospace Propulsion Conference. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-2378-4_14
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DOI: https://doi.org/10.1007/978-981-19-2378-4_14
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