Development and Comparison of High Order Toroidal Finite Elements for Calculating Disk Springs

Titelangaben

Wehmann, Christoph ; Rieg, Frank:
Development and Comparison of High Order Toroidal Finite Elements for Calculating Disk Springs.
In: Scharff, Peter (Hrsg.): Innovation in mechanical engineering - shaping the future : 12 - 16 September 2011 ; proceedings. - Ilmenau , 2011

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Abstract

The present manuscript deals with the development and
the application of toroidal finite elements. These finite
elements belong to the class of curvilinear elements
and, therefore, a special element formulation is required.
This means to express stress, strain, and displacement
in curvilinear coordinates. Here, an 8-node quadrilateral
element is developed which is described by an isoparametric
interpolation. The development of the governing
equations is one main topic of this contribution.
Another main topic is to evaluate the quality and
efficiency of these elements with respect to the calculation
of disc springs. In this context, calculations
with toroidal elements are checked against experimental
data which consists of load-deflection-curves. In addition,
the effects of friction and differences to the exact
rectangular cross section are considered. With the help
of Riks procedure, characteristic curves with negative
spring rates are obtained.