Dynamic stability enhancement of variable-thickness tennis rackets via nanocomposite reinforcement

Tao Zhang , XiaoMei Gao , Ruiye Guo

Abstract

The paper presents an innovative approach that is used to study the nonlinear dynamics of tennis rackets made of functionally graded materials strengthened by nano-structural elements and fully or partially immersed in fluids. The nanocomposite used in the structure is strengthened using GPLs, and their elastic properties are determined using the Halpin-Tsai method. The fluid is taken to be inviscid, incompressible, and irrotational with constant density. The hydrodynamic pressure is obtained based on Bernoulli's law. The nonlinear governing equations are developed based on von Karman theory. In order to address this highly nonlinear system, the isogeometric analysis (IGA) approach is chosen, which combines computer aided design and analysis in one integrated form. Both the method of harmonic balance and the arc-length continuation method are applied in order to trace periodic response behavior and bifurcations. This paper offers a reliable computational model to evaluate the dynamic behavior of GPL enhanced tennis racket in a fluid medium, considering the effect of the nanofiller layout, excitation strength, and fluid loading.

Key Words

computational mechanics; fluid-mediated vibrations; isogeometric modeling; nano-enhanced tennis rackets; nonlinear vibrations

Address

Tao Zhang — Department of Physical Education, Guangzhou Vocational University of Science and Technology, Guangzhou, Guangdong 510555, China/ Graduate School, José Rizal University, Mandaluyong, Manila, 1552, Philippines
Ruiye Guo — Graduate School, José Rizal University, Mandaluyong, Manila, 1552, Philippines
XiaoMei Gao — Department of Physical Education, Panzhihua University, Panzhihua, Sichuan 617000, China

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