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Oscillations and stability of dynamics of hybrid biostructure
The European Physical Journal Special Topics ( IF 2.6 ) Pub Date : 2021-08-10 , DOI: 10.1140/epjs/s11734-021-00240-8
Andjelka N. Hedrih 1 , Katica (Stevanović) Hedrih 1, 2
Affiliation  

Biostructures usually have complex geometrical organisation and oscillatory properties. Using a model of hybrid biostructure free and forced oscillatory modes and their stability regarding the geometrical and kinematic parameters of the model were analysed. The basic model of biostructure is in the form of complex cantilever of circular cross-section with rigidly connected structures and discrete masses and has three degree of freedom. For describing oscillatory behaviour of this hybrid biostructure, system of coupled differential equations and displacement influence coefficients of the cantilever were used. For specific geometrical parameters of the hybrid biostructure one unstable mode of free oscillations was identified. Amplitude-frequency graphs for forced oscillations for specific geometrical parameters for stable and unstable modes are presented. Conditions for resonance and dynamical absorption are discussed. Specific geometrical parameters of the hybrid biostructures can affect stability of their oscillations. Choosing specific geometrical forms in engineering design using biomimetic it is possible to reduced or eliminate undesirable oscillations.



中文翻译:

混合生物结构动力学的振荡和稳定性

生物结构通常具有复杂的几何组织和振荡特性。使用混合生物结构自由和强制振荡模式的模型及其关于模型的几何和运动学参数的稳定性进行了分析。生物结构的基本模型是具有刚性连接结构和离散质量的圆形截面复杂悬臂梁形式,具有三个自由度。为了描述这种混合生物结构的振荡行为,使用了悬臂的耦合微分方程系统和位移影响系数。对于混合生物结构的特定几何参数,确定了一种不稳定的自由振荡模式。给出了稳定和不稳定模式的特定几何参数的强迫振荡的幅频图。讨论了共振和动态吸收的条件。混合生物结构的特定几何参数会影响其振荡的稳定性。在使用仿生的工程设计中选择特定的几何形式可以减少或消除不希望的振荡。

更新日期:2021-08-10
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