Development of Row of Vibration Insulators and its Mathematical Models on a Base of Common Multi-parameter Scheme of Element Axial Line

2017 International Conference on Aerospace Technology, Communications and Energy Systems

航空航天工程;无线电电子学;能源学

Ponomarev, Yury K.^1

Samara National Research University, Moskovskoe shosse 34, Samara

443086, Russia^1

关键词: Computer aided design systems;    Linear representation;    Load characteristics;    Mechanics of materials;    Multi-parameter schemes;    Transport engineering;    Vibration intensity;    Vibration-protection systems;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/302/1/012080/pdf
DOI  :  10.1088/1757-899X/302/1/012080

学科分类：航空航天科学

来源: IOP

【 摘 要 】

The mathematical model of deformation of a cable (rope) vibration insulator consisting of two identical clips connected by means of elastic elements of a complex axial line is developed in detail. The axial line of the element is symmetric relatively to the horizontal axis of the shape and is made up of five rectilinear sections of arbitrary length a, b, c, conjugated to four radius sections with parameters R1and R2with angular extent 90°. On the basis of linear representations of the theory of bending and torsion of mechanics of materials, applied mechanics and linear algebra, a mathematical model of loading of an element and a vibration insulator as a whole in the direction of the vertical Y axis has been developed. Generalized characteristics of the friction and elastic forces for an elastic element with a complete set of the listed sections are obtained. Further, with the help of nullification in the generalized model of the characteristics of certain parameters, special cases of friction and elastic forces are obtained without taking into account the nullified parameters. Simultaneously, on the basis of the 3D computer-aided design system, volumetric models of simplified structures were created, given in the work. It is shown that, with the help of a variation of the five parameters of the axial scheme of the element, in combination with the variation of the moment of inertia of the rope section and the number of elements entering the ensemble, the load characteristics and stiffness of the vibration insulators can be changed tens and hundreds of times. This opens up unlimited possibilities for the optimal design of vibration protection systems in terms of weight characteristics, in cost, in terms of vibration intensity, in overall dimensions in different directions, which is very important for aerospace and transport engineering.