Evaluation of the forces in the lifting rope taking into account the resilience of its links
Year: 2020
Type: article
Abstract: A special form of differential equations of motion of a row dynamic model to study the dynamics of a machine with resilient links is used in the article. These equations set dependences directly between power factors. Therefore the reactions of resilient areas of the model are determined without detecting their deformations. The initial values of resilient forces and their first derivatives must be known. An example of a simplified model of a drum lifting mechanism has been considered. Initial positions of a load on the supporting beam and a drum with a lifting rope on the beam of a travelling crane can change. The mass of the load, the mass of the rope, the coefficient of linear inflexibility of the rope and coefficients of flexural inflexibilities of the beams have been taken into account when making up the dynamic model of the mechanism. The equilibrium load phase with the known initial velocity and acceleration of the overhead end of the rope is studied. The effort in the supporting beam and the moment of the load removal from the support have been defined. For every phase of the motion the resilient effort in the rope as a function of time as well as the moments of time, when the efforts in the rope are maximum, have been found. The algorithm of the numerical analysis of the task has been offered; the mass, geometrical, resilient, kinematics parameters of the mechanism being preset. The coordinates of loading points to the beams can change. The spectrum of the maximal efforts and normal tensions in the rope has been got. The flow-chart of algorithm makes it possible, varying the basic data to pick up the optimal combination of parameters for the particular mode of the mechanism exploitation, with due regard of the necessary safety factor. The results of the article can be used to calculate the rope durability of the lifting mechanism to be designed or already operating
Authors: T. M. Karpenko, I. M. Muzyka, O. O. Gudym
Institution: Pryazovskyi State Technical University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3020161976