Structural analogies for hybrid discrete-continuum systems of deformable bodies coupled with non-linear layers
| العنوان: | Structural analogies for hybrid discrete-continuum systems of deformable bodies coupled with non-linear layers |
|---|---|
| المؤلفون: | Julijana Simonovic, Katica R. (Stevanović) Hedrih |
| المصدر: | The European Physical Journal Special Topics. 230:3705-3729 |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Physics, Set (abstract data type), Nonlinear system, Spacetime, Mathematical model, Differential equation, Continuum (topology), Mathematical analysis, General Physics and Astronomy, General Materials Science, Physical and Theoretical Chemistry, Type (model theory), System dynamics |
| الوصف: | The chapter is addressed at phenomenological mapping and mathematical analogies of oscillatory regimes in hybrid discrete-continuum systems of coupled deformable bodies. Systems consist of connected deformable bodies like plates, beams, belts, or membranes that are coupled through visco-elastic non-linear layer. The layer is modeled by continuously distributed elements of Kelvin–Voigt type with non-linearity of third order. Using the mathematical analogies, the similarities of structural models in systems of plates, beams, belts, or membranes are explained. The mathematical models consist by a set of two coupled non-homogenous partial non-linear differential equations. The proposed solution is divided into space and time domains by classical Bernoulli–Fourier method. In the time domains, the systems of coupled ordinary non-linear differential equations are completely analog for different systems of deformable bodies and are solved using the Krilov–Bogolyubov–Mitropolski asymptotic method. This paper presents the power of mathematical analytical calculus which is similar for physically different systems. The mathematical numerical experiments are a great and useful tool for making the final conclusions between many input and output values. The conclusions about non-linear phenomena in multi-body systems dynamics are revealed from the specific example of double plate’s system stationery and no stationary oscillatory regimes. |
| تدمد: | 1951-6401 1951-6355 |
| DOI: | 10.1140/epjs/s11734-021-00250-6 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::582b5ed106e2d154aa1b1027ad8c08f5 https://doi.org/10.1140/epjs/s11734-021-00250-6 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........582b5ed106e2d154aa1b1027ad8c08f5 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 19516401 19516355 |
|---|---|
| DOI: | 10.1140/epjs/s11734-021-00250-6 |