Dr. Arnab Banerjee Profile

Dr. Arnab Banerjee

at Indian Institute of Technology Delhi

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Publications (3)

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Proceedings Article | 20 April 2022 Presentation + Paper

Vibration attenuation in graded meta-sandwich beam

Amanpreet Singh, Bishakh Bhattacharya, Arnab Banerjee

Proceedings Volume 12043, 1204309 (2022) https://doi.org/10.1117/12.2612753

KEYWORDS: Wave propagation, Modeling, Resonators, Physics, Metamaterials, Mechanical engineering, MATLAB

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Metamaterials have gained considerable attention in the past few decades due to their exceptional properties, such as negative mass, negative stiffness, and negative Poisson’s ratio. Much research has been conducted to understand how the band structure varies with unit cell designs for single and sandwich beam configurations. A few researchers have studied the variation in band structure in the graded metastructure considering single beam configuration. In this article, a new graded meta-sandwich beam has been studied that is constructed by repeating the unit cell, which consists of different combinations of translational and rotational springs. The band structure has been obtained by using the transfer matrix method along with Bloch-Floquet’s theorem. It has been noticed that a significant shifting and widening of the bandgaps has been noticed in the proposed graded meta-sandwich beam. Moreover, different configurations of metasandwich beams have also been studied. This study intends to provide the necessary physical insights to design a graded meta-sandwich beam for vibration attenuation applications.

Proceedings Article | 22 April 2020 Presentation + Paper

A novel approach for maximization of attenuation bandwidth of the piezo-embedded negative stiffness metamaterial

Ankur Dwivedi, Arnab Banerjee, Bishakh Bhattacharya

Proceedings Volume 11376, 113762F (2020) https://doi.org/10.1117/12.2558182

KEYWORDS: Metamaterials, Resonators, Wave propagation, Vibration control, Numerical simulations

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Elastic mechanical metamaterials exhibit unusual frequency contingent properties like negative mass, negative Young’s modulus, and negative Poisson’s ratio in a particular band of the excitation frequency. Locally resonant units in the designed metamaterial enable bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of the unit. Due to out of phase motion of multiple resonating units with lattice, there is a change in the dynamic properties (stiffness or mass or density) of the material as these properties become frequency-dependent.On another side, at higher frequencies for wavelengths equal to the lattice size of the medium, the Bragg scattering phenomenon occurs, which also helps in the bandgap formation. Therefore, these extreme frequency contingent physical properties modulate wave propagation through designed metama- terials. In this research, the band structure of piezo-embedded negative stiffness metamaterial is derived using generalized Bloch theorem. Bloch theorem is used to solve various periodic media problems in different fields. The relationship between frequency and wave number can be established using this theory. The results elucidate that the insertion of the piezoelectric material in the resonating unit can provide not only better tunability but also several unusual band structures that can be perceived. The attenuation bandwidth of the designed metamaterial can be tailored through critical parameters derived from the extensive non-dimensional study of the system. This research can be considered as a contribution towards designing the active elastic mechanical metamaterials.

Proceedings Article | 22 April 2020 Presentation + Paper

Metamaterial inspired tensairity beam for frequency band attenuation

Amanpreet Singh, Arnab Banerjee, Bishakh Bhattacharya

Proceedings Volume 11376, 113762D (2020) https://doi.org/10.1117/12.2557778

KEYWORDS: Wave propagation, Metamaterials, Mechanical engineering, Civil engineering, Bridges

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Tensairity refers to a class of lightweight structure which has a wide range of interesting applications such as temporary bridges, inflatable kites, of unmanned aerial vehicle wings and mainsail in sailing boats. A Tensairity structure has three main components, namely tension element, compression element and air beam. The primary purpose of the air beam is to stabilise the compression element under loading. The combination of these elements results in a structure which has lightweight compared to conventional structures for the same strength and vice versa. In this study, we explore a new concept of meta tensairity beam. Air is modelled as spring, and an additional torsional spring has been used between the two beams and this structure has been repeated periodically. Both tension and compression elements have been modelled as Euler Bernoulli beam. The unwanted vibration which occurs in the tensairity structure can be attenuated by varying the stiffness of torsional spring. Band structure of meta tensairity beam has been obtained by using Bloch theorem and transfer matrix method. The phenomenon of frequency band attenuation has been incorporated in the Tensairity structure, and it gives rise to a new set of design potentials for lightweight structures. Real-time health monitoring of tensairity structures can also be done by harvesting energy from meta tensairity, which makes it a self-sustaining system.

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