基于弹性悬链线理论的辊间输送带垂度特性的研究

针对输送机两托辊间垂度采用悬链线理论存在的不足,在分析现有辊间输送带垂度平衡方程的基础上,引入输送带弹性模量,建立了变形相容条件的辊间输送带弹性悬链线参数方程,导出了辊间最大垂度的解析解,并通过实例分析和仿真研究,验证了该参数方程及解析解的正确性。研究结果表明:辊间输送带最大垂度与弹性模量呈非线性倒数关系,与辊间距呈非线性平方关系,与输送带张力也呈非线性,张力越大,垂度越小,并进一步导出了基于弹性悬链线的相对垂度及相对垂度限制下的最小张力。

Research on the sag characteristics of inter-roll conveyor based on elastic catenary theory

Aiming at the deficiencies in the catenary theory of the conveyor inter-roller sag，the elasticity modulus of conveyor belt was introduced for establishing the elastic catenary parameter equation of the inter-roller conveyor belt in consistency condition and the analytical solution to the maximum inter-roller sag was derived based on the analysis of the current inter-roller sag equilibrium equation，and whose correctness was verified by the case analysis and simulation research.According to the research result，the maximum inter-roller sag of the conveyor belt is in non-linear reciprocal relation with its elastic modulus，in nonlinear quadratic relation with inter-roller gap，and also in nonlinear relation with conveyor belt tension while the greater the tension is，the smaller the sag will be.Meanwhile，the minimum tension under the relative sag and its restriction was further developed on the basis of elastic catenary.