Fundamental investigation of the modal control of temperature fields with the application on machine tool structures

热位移是造成机床几何误差的重要原因。电力驱动的能量损失、加工过程和环境温度导致机器温度升高，从而导致材料膨胀。特别是结构内部温度分布的不均匀导致了较大的位移。一个例子是由不对称热源引起的机器机架弯曲。这个项目的一个目标是设计和分析一种在结构部件中操纵温度场的方法。为此，机器的热状态是在运行过程中测量的，并由热致动器（加热或冷却元件）操纵。这代表了一个多变量反馈控制，其中系统的所有输入和输出之间出现了强耦合。为了解决这一分布式热传导问题的挑战，本研究涉及热模态分析方法，该方法可以实现系统的解耦状态空间描述。该项目的总体目标是分析模态温度场控制在减少热致加工误差方面的潜力。

Thermal displacement is a significant reason for geometric errors of machine tools. Energetic losses of the electric drives, the machining process and the ambient temperature lead to a rise of the machine temperature and consequently to an expansion of the material. Especially an uneven temperature distribution in the structure leads to large displacements. An example is a machine Frame that is caused to bend by an asymmetric heat source.An object of this project is the design and the analyses of a methodology for the manipulation of temperature fields in structural components. For this purpose, the thermal state of the machine is measured during operation and manipulated by thermal actuators (heating or cooling elements). This represents a multi-variable feedback control in which a strong coupling between all in- and outputs of the system arise. To focus the challenges of this distributed heat conduction problem, this research deals with the method of thermal modal analysis, which enables a decoupled state space description of the system. The overall goal of the project is to analyse the potential of the modal temperature field control in terms of the reduction of thermally induced machining errors.