A generalized framework for viscous and non-viscous damping models
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917953317896192 |
|---|---|
| author | Ganguly, Soumya Kanti Mukherjee, Indrajit |
| author_facet | Ganguly, Soumya Kanti Mukherjee, Indrajit |
| contents | The inadequacy of the classical viscous damping model in capturing dissipation across a wide range of applications has led to the development of non-viscous damping models. While non-viscous models describe damping force satisfactorily, they offer limited physical insight. Leveraging an existing framework, well known to the physics community, this article provides fresh insights into the framework of non viscous damping for engineers. For this purpose, we revisit the motion of a particle coupled to a bath of harmonic oscillators at a finite temperature. We obtain a general expression for non-viscous damping in terms of a general memory kernel function. For specific choices of the kernel function, we derive exact expressions for a host of non-viscous damping models including the classical viscous damping as a special case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A generalized framework for viscous and non-viscous damping models Ganguly, Soumya Kanti Mukherjee, Indrajit Soft Condensed Matter The inadequacy of the classical viscous damping model in capturing dissipation across a wide range of applications has led to the development of non-viscous damping models. While non-viscous models describe damping force satisfactorily, they offer limited physical insight. Leveraging an existing framework, well known to the physics community, this article provides fresh insights into the framework of non viscous damping for engineers. For this purpose, we revisit the motion of a particle coupled to a bath of harmonic oscillators at a finite temperature. We obtain a general expression for non-viscous damping in terms of a general memory kernel function. For specific choices of the kernel function, we derive exact expressions for a host of non-viscous damping models including the classical viscous damping as a special case. |
| title | A generalized framework for viscous and non-viscous damping models |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.08804 |