Multi-cycle calculation method for vibration and energy of axial movement rope equipment

Abstract

The invention discloses a multi-cycle calculation method for vibration and energy of axial movement rope equipment. The multi-cycle calculation method comprises the following steps: 1, acquiring a traveling wave solution of a first cycle; 2, expanding the expression of each traveling wave solution to any period; and 3, calculating the traveling wave energy and the change rate thereof. According to the method, the vibration displacement and the energy change of the rope equipment under the fixed-damping boundary condition can be accurately obtained, so that a proper damping value is selected to achieve the purpose of vibration reduction of the rope equipment, the method has the advantages of being accurate in calculation and high in efficiency, and the design period of vibration reduction design of the movable rope equipment can be greatly shortened.

Description

technical field [0001] The invention belongs to the field of mechanical system dynamics modeling and vibration control, in particular to a multi-period traveling wave solution to the vibration and energy of axially moving ropes. Background technique [0002] Axially moving rope equipment can be applied to elevator cables, sightseeing cable cars, conveyor belts and even tethered satellites. When these equipment are overloaded, worn out for a long time or excited by external factors, the moving ropes are prone to lateral vibrations, ranging from small oscillations Or noise, affecting the user experience, and causing safety accidents. Due to the wide range of applications of numerical solutions, most of the research is based on Lagrangian equations to establish finite element dynamic equations, and numerical algorithms such as Newmark Beta method, Galerkin method, Longo-Kutta method and state space The equation method is used to obtain its numerical solution to obtain the late...

AI Technical Summary

Problems solved by technology

When using the traveling wave method to solve the motion equation of the infinite and semi-infinite axial moving rope lock equipment, the traveling wave does not occur or only one reflection occurs, so the solution process is relatively simple, but in the finite axial movement with damping boundary type, etc. In the rope lock equipment, the vibration energy is often not completely dissipated after a cycle, and the rope will continue to vibrate. Therefore, in the finite-length axially moving rope lock equipment, the reflection superposition and energy transmission of traveling waves are multi-periodic. Multiple reflections at the boundary complicate the solution process

[0004] It can be seen that the numerical solution obtained by the prior art cannot accurately obtain the displacement of the moving rope, and the calculation efficiency is low, and the traveling wave solution of infinite and semi-infinite length axially moving rope lock equipment is not suitable for engineering practice

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