Periodically stimulated remodelling of a muscle fibre: perturbation analysis of a simple system of first-order ODEs

The paper deals with the dynamical analysis of the system of first-order ODE’s describing the isometric stimulation of the muscle fibre. This system is considered to be a non-autonomous one having the periodical excitation. For the analysis of dynamical behaviour the system the multiple scale method (MSM) is employed. The main goal of this contribution is to show the application of MSM to the non-autonomous dynamical system using the first order approximation of the solution. The existence of the degenerated Hopf’s bifurcation of the gained solution is presented

Modelling of gear couplings in the framework of multibody systems

20-21893

Vibration analysis of a vertical rotor immersed in fluid at extreme operating temperatures

This publication was supported by the project 22-29874S of the Czech Science Foundation. The usage of the AVL Excite software in the framework of the University Partnership Program of AVL List GmbH is greatly acknowledge

Subcritical behaviour and stability of a rigid rotor supported by undulated journal bearings

The work presented in this contribution was supported by the projects of the Czech Science Foundation No. 22-29874S and 21-16406S

Influence of static unbalance on rotors with various journal bearing types

This paper was supported by the Technology Agency of the Czech Republic under the THETA Programme within the TK04020057 project

Modeling and implementation of joints in 2-D multibody dynamics considering chosen imperfections

This research work was supported by project SGS-2022-008 of the Czech Ministry of Education, Youth and Sport, and by the project 23-07280S of the Czech Science Foundatio

Dynamical analysis of bistable mechanical oscillator

The contribution deals with analysis of dynamical properties of 1 DOF bistable mechanical oscillator. First the mathematical model is formulated. The original mathematical model is approximated by Duffing equation as it is commonly used. These two models are compared and it is shown how they differ in both static and dynamical response. The dynamical response is studied using bifurcation analysis performed by brute force numerical integration in time domain to detect area of interest from dynamical point of view. Such a bistable mechanical system can appear in many technical applications and therefore the proper modelling plays a significant role

Frequency lock-in phenomenon in structures with aeroelastic couplings

This work was supported by the GA CR project No. 20-26779S Study of dynamic stall flutter instabilities and their consequences in turbomachinery application using mathematical, nu- merical and experimental methods. Validation would not be possible without the AVL Excite software, which is available in the framework of the University Partnership program of AVL List GmbH and whose usage is greatly acknowledge

Modelling of gear couplings in the framework of multibody systems

20-21893

Influence of static unbalance on rotors with various journal bearing types

This paper was supported by the Technology Agency of the Czech Republic under the THETA Programme within the TK04020057 project