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Contents 1

Physics-informed deep neural networks for sports applications : enhancing tennis handle performance with nanocomposites / Ying Ying Tao ; Liquan Chen ; Murat Yaylacı 1

Abstract 1

1. Introduction 1

2. Theory and formulation 3

2.1. Properties of composite media 3

2.2. Displacement field 4

2.3. Hamilton's principle and governing equations 4

2.4. Machine learning 4

3. PINNs solution procedure 5

3.1. Replace legendre polynomial expansions with neural networks (NNs) 5

3.2. Boundary and initial conditions 5

3.3. Governing PDE residuals 6

3.4. Damping and stiffness modifications 6

3.5. Training loss function 6

3.6. Rayleigh damping coefficients 6

3.7. Implementation steps 6

4. Results and discussion 6

4.1. Validation 6

4.2. Parametric results 6

5. Conclusions 10

References 11

권호기사

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