Heikinpäivä in Hancock

Each January in Hancock, Michigan, the Heikinpäivä Midwinter Festival offers local residents three weeks of activities highlighting the continuing role Finnish culture has in the area. Utilizing a set of fading Finnish midwinter traditions surrounding the day of Heikki, or Henrik, this festival has grown from a brief day-long gathering to a long period of activity incorporating films, craft and cooking classes, religious services, and more traditional festival events such as a parade, games, feasting, music, and dancing. This festival has complex origins in more commonplace agricultural traditions brought from Finland by immigrants, which are often no longer commonly remembered in Finland to this day. In this paper, I will examine the complex history of this festival both through its Finnish origins and through its current incarnation in Michigan. Through this festival, we can see the role Finnish heritage has as a simultaneous marker of cultural pride and deprecation. The place Finnish heritage has as a tool in community and economic development in the City of Hancock and the wider region will also be explored. Finally, the function of the festival as a means of maintaining traditions seemingly doomed to fade with time will also be explored.

Automated optimization of polymer extrusion dies using finite element analysis

An extrusion die is used to continuously produce parts with a constant cross section; such as sheets, pipes, tire components and more complex shapes such as window seals. The die is fed by a screw extruder when polymers are used. The extruder melts, mixes and pressures the material by the rotation of either a single or double screw. The polymer can then be continuously forced through the die producing a long part in the shape of the die outlet. The extruded section is then cut to the desired length. Generally, the primary target of a well designed die is to produce a uniform outlet velocity without excessively raising the pressure required to extrude the polymer through the die. Other properties such as temperature uniformity and residence time are also important but are not directly considered in this work. Designing dies for optimal outlet velocity variation using simple analytical equations are feasible for basic die geometries or simple channels. Due to the complexity of die geometry and of polymer material properties design of complex dies by analytical methods is difficult. For complex dies iterative methods must be used to optimize dies. An automated iterative method is desired for die optimization. To automate the design and optimization of an extrusion die two issues must be dealt with. The first is how to generate a new mesh for each iteration. In this work, this is approached by modifying a Parasolid file that describes a CAD part. This file is then used in a commercial meshing software. Skewing the initial mesh to produce a new geometry was also employed as a second option. The second issue is an optimization problem with the presence of noise stemming from variations in the mesh and cumulative truncation errors. In this work a simplex method and a modified trust region method were employed for automated optimization of die geometries. For the trust region a discreet derivative and a BFGS Hessian approximation were used. To deal with the noise in the function the trust region method was modified to automatically adjust the discreet derivative step size and the trust region based on changes in noise and function contour. Generally uniformity of velocity at exit of the extrusion die can be improved by increasing resistance across the die but this is limited by the pressure capabilities of the extruder. In optimization, a penalty factor that increases exponentially from the pressure limit is applied. This penalty can be applied in two different ways; the first only to the designs which exceed the pressure limit, the second to both designs above and below the pressure limit. Both of these methods were tested and compared in this work.