Discretization and simulation for dynamic response of a Kirchhoff‐Love plate resting on a generalized Winker‐type viscoelastic foundation

Key Points

• To develop a numerical approximation scheme for the dynamic response of Kirchhoff-Love plates on viscoelastic foundations.
• Developed a numerical approximation scheme utilizing fractional calculus.
• Derived error estimates to evaluate the accuracy of the numerical method.
• Conducted extensive numerical simulations for various practical scenarios.
• Demonstrated the proposed model's effectiveness in capturing dynamic responses under complex loads.
• Provided error estimates confirming the method's reliability in simulations.

Abstract