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硕士学位论文 带式输送机动态模型相关问题的研究
摘 要
本文总结了带式输送机动态特性分析的两种经典的模型，即基于偏微分方程的连续模型和基于有限单元法的离散模型，讨论了他们的建立方法，分析了他们的求解思路。
本文在把输送带单元视作一维粘弹性杆件的前提下，利用有限差分的数值方法对连续模型（偏微分方程）进行了算法设计、求解仿真，并将结果与典型方法做了对比。并且将差分方法的仿真结果与实际试验结果进行比较，证明了有限差分方法解决此模型的可行性。
本文还对输送带二维动力学模型进行了研究。将每一个输送带单元视作一个梁单元，将输送带离散成为横向、纵向均可变形的梁单元，每个梁单元有三个位移参量，可以表示输送带的纵向位移、横向位移及垂度变化。结合输送带在滚筒、托辊上的运动学特性及输送带本身的粘弹性等参数影响，以及拉紧装置的振动特性的边界条件，得到了带式输送机二维动力学模型。
文章对驱动系统中的电动机进行了动态分析，选取三相电动机的转子电流、定子电流、转子角速度、转子角位移八个参变量作为状态变量，建立了电动机运行的状态方程。
最后讨论了如何将输送带二维动力学模型结合驱动装置的动态特性对带式输送机整机系统动态特性进行求解仿真的思路，设计了动态模型仿真数值求解程序的流程图，并对带式输送机动态特性分析软件的组织方法做了介绍，说明了主要模块的特点。
关键词：带式输送机，动力学模型，求解方法，有限差分方法，二维模型。

ABSTRACT
This paper reviews the two classic models about the belt conveyor dynamic
characteristics. That bases on partial differential equations of the continuous model and finite
element method discrete model. It discusses the methods of its establishment and gives a brief
introduction about the solving idea. Under the premise of taking the conveyor unit as
one-dimensional viscoelastic rod the paper uses the finite difference numerical method for the
continuous model (partial differential equations) algorithm and at the same time designs for
solving simulation and compared the results with the typical method. It compares the
difference method of simulation results with actual test results to prove that the difference
methods have different feasibilities of this model.
This paper also put emphasis on the conveyor belt two-dimensional kinetic model. Taking
each conveyor unit as a beam element, conveyor discrete horizontal, vertical beam element
can be deformed. Each beam element has three displacement parameters, that can represent the
vertical displacement, lateral displacement of the conveyor and vertical changes. The
kinematic characteristics and the conveyor belt itself viscoelastic parameters affect the
combination of conveyor roller, roller, and tighten the boundary conditions of the vibration
characteristics of the device, belt conveyor two-dimensional kinetic model.
This paper has a dynamic analysis about the motor drive system, selecting the three-phase
motor rotor current, stator current and rotor angular velocity as the State variables, forming the
equation of state about running of electric motor. At last, it discusses the idea about how the
dynamic characteristics of the conveyor belt two-dimensional kinetic model combined with
the dynamic characteristics of the whole system of belt conveyors for solving simulation.
Keywords: belt conveyor, dynamic characteristics, solving method, FDM