Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2304.03777 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929209233899520 |
|---|---|
| author | Celli, Paolo Palermo, Antonio |
| author_facet | Celli, Paolo Palermo, Antonio |
| contents | In this work, we discuss the realization of mechanical devices with non-reciprocal attributes enabled by inertia-amplifying, time-modulated mechanisms. Our fundamental building-block features a mass, connected to a fixed ground through a spring and to a moving base through a mechanism-based inerter. Through analytical derivations and numerical simulations, we provide details on the nonlinear dynamics of such system. We demonstrate that providing a time modulation to the inerter's base produces two additions on the dynamics of the main spring-mass oscillator: i) an effective time-modulated mass term, and ii) a time varying force term; both quantities are functions of the modulating frequency. With specific choices of parameters, the modulation-induced force term -- that represents one of the main drawbacks in most experimental realizations of purely time-modulated systems -- vanishes and we are left with an effective time-varying mass. We then illustrate that this building block can be leveraged to realize non-reciprocal wave manipulation devices, and concentrate on a non-reciprocal beam-like waveguide. The simple design and the clean performance of our system makes it an attractive candidate for the realization of fully mechanical non-reciprocal devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03777 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Time-modulated inerters as building blocks for nonreciprocal mechanical devices Celli, Paolo Palermo, Antonio Classical Physics Pattern Formation and Solitons In this work, we discuss the realization of mechanical devices with non-reciprocal attributes enabled by inertia-amplifying, time-modulated mechanisms. Our fundamental building-block features a mass, connected to a fixed ground through a spring and to a moving base through a mechanism-based inerter. Through analytical derivations and numerical simulations, we provide details on the nonlinear dynamics of such system. We demonstrate that providing a time modulation to the inerter's base produces two additions on the dynamics of the main spring-mass oscillator: i) an effective time-modulated mass term, and ii) a time varying force term; both quantities are functions of the modulating frequency. With specific choices of parameters, the modulation-induced force term -- that represents one of the main drawbacks in most experimental realizations of purely time-modulated systems -- vanishes and we are left with an effective time-varying mass. We then illustrate that this building block can be leveraged to realize non-reciprocal wave manipulation devices, and concentrate on a non-reciprocal beam-like waveguide. The simple design and the clean performance of our system makes it an attractive candidate for the realization of fully mechanical non-reciprocal devices. |
| title | Time-modulated inerters as building blocks for nonreciprocal mechanical devices |
| topic | Classical Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2304.03777 |