Dynamic response of sandwich functionally graded nanoplate under thermal environments and elastic foundations using...

Area of Science:

• Mechanical Engineering
• Materials Science
• Nanotechnology

Background:

• Small-scale structures like nanoplates are crucial in advanced technologies.
• Analyzing their behavior under thermal loads and elastic foundations requires sophisticated methods.
• Functionally graded materials offer tunable properties for tailored applications.

Purpose of the Study:

• To develop and validate a dynamic stiffness method for analyzing sandwich functionally graded nanoplates.
• To investigate the influence of various parameters on the dynamic behavior of these nanoplates.
• To provide a versatile analytical tool for small-scale complex engineering structures.

Main Methods:

• Classical Plate Theory combined with nonlocal elasticity theory.
• Hamilton's principle for deriving governing equations.
• Levy's approach and dynamic stiffness matrix assembly for global analysis.
• Wittrick-Williams algorithm for natural frequency computation.

Main Results:

• The dynamic stiffness method was successfully developed and validated against existing literature.
• Parametric studies revealed significant effects of thermal environments, nonlocal parameters, and boundary conditions.
• The method demonstrated versatility in analyzing complex small-scale sandwich nanoplates.

Conclusions:

• The developed dynamic stiffness method is a reliable tool for analyzing sandwich functionally graded nanoplates.
• This research enhances the understanding of nanoplates' behavior in thermal and elastic foundation environments.
• Findings offer valuable insights for designing nanoplates in aerospace, sensors, and energy harvesting.