Structural mathematical modelling: the concept of feedback in the dynamics of mechanical oscillation systems

The introduction of additional elastic elements into the structure of a vibrating technological machine is considered. The design scheme of a vibrating machine is a mechanical oscillating system with a rigid body on elastic supports. A method for creature mathematical models of technical objects is offered, which makes it possible to evaluate their dynamic state with the introduction of additional ties. For a more detailed analysis of the properties of the system, structural mathematical modeling methods are used. The essence of such approaches is the equivalent of replacing the initial design scheme of a vibrating technological machine with a dynamically equivalent analogue, which is a structural scheme of an automatic control system. It is shown that with the asymmetric introduction of additional elastic elements, it is necessary to develop special methods for the analysis of dynamic stiffnesses. Taking into account the combined action of external force influences shows the possibility of manifestation of new dynamic effects associated with the regimes of dynamic absorbtion of oscillations and the influence of inter-partial ties. Based on the studies and the obtained analytical ratios, a methodological basis for the dynamic synthesis of the parameters of mechanical vibrational systems with the ability to control and control the dynamic state of the working bodies of vibrating technological machines has been developed.

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Structural mathematical modelling: the concept of feedback in the dynamics of mechanical oscillation systems

Cited by 2 publications

References 1 publication

Unilateral Constraints in Interactions of System Elements: Estimation of Dynamic Constraint Reactions

Unilateral Constraints in Interactions of System Elements: Estimation of Dynamic Constraint Reactions

The estimation of dynamical condition of vibration technological machines at joint action of two external disturbances

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