Dynamic Behavior of Magnetically Affected Rod-Like Nanostructures with Multiple Defects via...

Area of Science:

• Solid Mechanics
• Nanotechnology
• Vibrational Analysis

Background:

• Nanostructures exhibit unique properties due to nonlocality and surface energy effects.
• Defects and external fields significantly influence nanorod vibrational behavior.

Purpose of the Study:

• To develop continuum-based models for free vibration analysis of defective nanorods under bidirectional-transverse magnetic fields.
• To investigate the combined effects of nonlocality, surface energy, and magnetic fields on nanorod dynamics.

Main Methods:

• Employing Eringen's and Gurtin-Murdoch's elasticity theories for nonlocal and surface energy considerations.
• Deriving equations of motion using nonlocal-differential and nonlocal-integral models.
• Modeling defects with axial springs and solving for natural frequencies and modes using analytical and finite-element techniques.

Main Results:

• Explicit solutions for natural frequencies and vibrational modes of fixed-free and fixed-fixed nanorods with defects.
• Validation of model results against existing literature for specific cases.
• Comprehensive analysis of how nonlocality, surface energy, defects, and magnetic fields impact vibration response.

Conclusions:

• The proposed models effectively capture the free vibration characteristics of magnetically influenced, defective nanorods.
• Nonlocality, surface energy, defect characteristics, and magnetic field strength are critical parameters governing nanorod dynamics.