基于广义Hamilton原理的电磁涡流阻尼减振系统建模方法研究

发布时间：2018-05-10 17:54

本文选题：电磁涡流阻尼 + Hamilton体系　；参考：《合肥工业大学》2014年硕士论文

【摘要】：电磁涡流阻尼是当今电磁研究的前沿性课题，涉及到诸多学科和众多复杂的问题。电磁涡流阻尼器是电磁涡流阻尼技术的一种应用，近十几年来被人们广泛关注并应用到减振系统中。然而不同的应用场合，阻尼器需要满足的要求各不相同，如结构尺寸、阻尼力大小等参数条件。若要提高电磁涡流阻尼器的减振性能，必须弄清阻尼特性与减振机理，定量分析阻尼器各参数之间的相互影响，精确求解电磁涡流阻尼问题。现有的求解方法计算复杂，难以得到电磁涡流阻尼问题的精确解。因此，，需要建立新的模型来求解电磁涡流阻尼减振系统。自然界中一切物理过程，不管是经典的、相对的还是量子的均可以表示为Hamilton形式。Hamilton体系是遍在的、普适的，可以利用广义Hamilton原理来建立电磁涡流阻尼减振系统的求解模型。本文将系统问题分为涡流单元与运动单元两个部分求解。通过分析力学系统与电磁涡流阻尼减振系统各参数的类比，将Hamilton体系引入电磁涡流阻尼系统中。根据分析力学中非保守系统的Hamilton正则方程的理论体系，选择了合适的对偶变量；整体考虑系统的能量转换与能量耗散，从能量的角度建立了Hamilton函数，将问题转化为Hamilton正则方程的求解。研究了利用辛算法和非辛算法求解涡流单元正则方程，得到了方程的离散格式，并引入了修正的磁矢量对涡流单元Hamilton模型进行优化。基于广义Hamilton原理建立电磁涡流阻尼减振系统的求解模型，一方面为电磁涡流阻尼问题的求解提供了一个新的思路，另一方面也促进了Hamilton理论体系在其他科研领域的推广与应用。
[Abstract]:Eddy current damping is a leading subject in electromagnetic research, which involves many disciplines and complex problems. Electromagnetic eddy current damper (EVD) is an application of Eddy current damping (EVD) technology, which has been widely paid attention to and applied to the vibration absorption system in the past ten years. However, in different applications, the damper needs different requirements, such as structural size, damping force and other parameters. In order to improve the damping performance of the eddy current damper, it is necessary to make clear the damping characteristics and damping mechanism, to quantitatively analyze the interaction between the parameters of the damper, and to accurately solve the electromagnetic eddy current damping problem. It is difficult to obtain the exact solution of the eddy current damping problem due to the complexity of the existing methods. Therefore, a new model is needed to solve the eddy current damping system. All physical processes in nature, whether classical, relative or quantum, can be expressed as Hamilton form. The Hamiltonian system is universal and universal. The solution model of electromagnetic eddy current damping system can be established by using the generalized Hamilton principle. In this paper, the system problem is divided into eddy current unit and motion unit. By analyzing the analogy between the mechanical system and the electromagnetic eddy current damping system, the Hamilton system is introduced into the electromagnetic eddy current damping system. According to the theoretical system of the Hamilton canonical equation of non-conservative systems in analytical mechanics, the proper dual variables are selected, and the Hamilton function is established from the view of energy, considering the energy conversion and energy dissipation of the system as a whole. The problem is transformed into the solution of Hamilton regular equation. The canonical equations of eddy current elements are solved by symplectic algorithm and non-symplectic algorithm. The discrete scheme of the equations is obtained, and the modified magnetic vector is introduced to optimize the Hamilton model of eddy current elements. Based on the generalized Hamilton principle, the solution model of the electromagnetic eddy current damping damping system is established. On the one hand, it provides a new idea for solving the electromagnetic eddy current damping problem, on the other hand, it also promotes the popularization and application of the Hamilton theory system in other fields of scientific research.
【学位授予单位】：合肥工业大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TB535.1

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