Development of Computer-Aided Process Planning System for Plate Bending

板的弯曲过程被认为是通过适当的方式将永久应变（固有应变）引入到板中形成三维形状的过程。因此，当适当选择加热条件以产生理想的弯曲或面内变形时，可以实现有效的线加热板弯曲工艺。为了确定加热条件，必须弄清加热条件与变形之间的关系。为此，研究了线加热过程的相似规律，并推导了控制变形的两个参数。此外，还开发了一种新的三维有限元程序，作为一种通用的工具来取代昂贵的实验。通过与试验的比较，验证了该方法的有效性，并应用该方法研究了各参数与板变形之间的一般关系。在此基础上，研究了用有限元法生成在哪里、在哪个方向、如何加热等信息的方法。提出了两种方法，即阶梯加热法和格栅加热法。通过实验和数值模拟验证了其有效性。

The plate bending process is considered as a process to form 3-dimensional shapes by introducing the permanent strain(inherent strain)into a plate through proper means. Thus, an effective plate bending process by line-heating can be achieved when the heating conditions are properly selected to produce desirable bending or inplane deformations. To make such decisions on the heating condition, the relation be tween heating conditions and deformations must be clarified. For this purpose, the similarity rule holds for the line-heating process is studied and two parameters governing the deformation are derived. Also, a new 3-dimensional FEM code is developed as a versatile tool to replace costly experiments. Its validity is examined through a comparison with an experiment and it is applied to study general relations between the parameters and the deformations of plates.Further, a methods to generate the information on where, in which direction and how to heat are studied using the FEM.Two methods, namely step heating method and grillage heating method, are proposed. Their effectiveness are examined through an experiment and numerical simulations.