Finite Element Modeling of a Tennis Racket with Variable String Patterns and Tensions

Finite element techniques were applied in a model of a tennis racket. Linear curved elements were used on the frame of the racket. Nonlinear cable elements were used on the strings. The model allows changing material properties and frame geometry, as do traditional models. Unlike traditional models, however, this model has the flexibility to change the string pattern and string tensions, as the strings are modeled discretely. Sample runs revealed information on the relationship between racket parameters and racket behavior such as deformations, stresses, and reaction forces. The results of the model showed that increasing string tension decreases racket deformation as string tension stiffens the racket. Increased string tension also decreases maximum hand reaction forces but increases stresses.